{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "ChEn-5310: Computational Continuum Transport Phenomena Fall 2021 UMass Lowell; Prof. V. F. de Almeida **29Sep21**\n", "\n", "# 05c. Rayleigh-Ritz Method w/ Finite Element Lagrange Basis Functions\n", "$ \n", " \\newcommand{\\Amtrx}{\\boldsymbol{\\mathsf{A}}}\n", " \\newcommand{\\Bmtrx}{\\boldsymbol{\\mathsf{B}}}\n", " \\newcommand{\\Mmtrx}{\\boldsymbol{\\mathsf{M}}}\n", " \\newcommand{\\Imtrx}{\\boldsymbol{\\mathsf{I}}}\n", " \\newcommand{\\Pmtrx}{\\boldsymbol{\\mathsf{P}}}\n", " \\newcommand{\\Lmtrx}{\\boldsymbol{\\mathsf{L}}}\n", " \\newcommand{\\Umtrx}{\\boldsymbol{\\mathsf{U}}}\n", " \\newcommand{\\Smtrx}{\\boldsymbol{\\mathsf{S}}}\n", " \\newcommand{\\xvec}{\\boldsymbol{\\mathsf{x}}}\n", " \\newcommand{\\avec}{\\boldsymbol{\\mathsf{a}}}\n", " \\newcommand{\\bvec}{\\boldsymbol{\\mathsf{b}}}\n", " \\newcommand{\\cvec}{\\boldsymbol{\\mathsf{c}}}\n", " \\newcommand{\\rvec}{\\boldsymbol{\\mathsf{r}}}\n", " \\newcommand{\\fvec}{\\boldsymbol{\\mathsf{f}}}\n", " \\newcommand{\\mvec}{\\boldsymbol{\\mathsf{m}}}\n", " \\newcommand{\\gvec}{\\boldsymbol{\\mathsf{g}}}\n", " \\newcommand{\\zerovec}{\\boldsymbol{\\mathsf{0}}}\n", " \\newcommand{\\norm}[1]{\\bigl\\lVert{#1}\\bigr\\rVert}\n", " \\newcommand{\\transpose}[1]{{#1}^\\top}\n", " \\DeclareMathOperator{\\rank}{rank}\n", " \\newcommand{\\Reals}{\\mathbb{R}}\n", " \\newcommand{\\thetavec}{\\boldsymbol{\\theta}}\n", " \\newcommand{\\Ecal}{\\mathcal{E}}\n", "$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## Table of Contents\n", "* [Objectives](#obj)\n", "1. [Poisson Problem with Dirichlet/Robin Boundary Conditions](#problem)\n", "1. [Rayleigh-Ritz Method with Dirichlet/Robin Boundary Conditions](#rayleigh-ritz)\n", " + [Data](#data)\n", " + [Lift function](#lift-function)\n", " + [Finite Element Lagrange Basis Functions](#fem-lagrange-basis)\n", " + [Results](#results)\n", "1. [Poisson Problem with Dirichlet/Robin Boundary Conditions](#problem-left)\n", "1. [Rayleigh-Ritz Method with Dirichlet/Robin Boundary Conditions](#rayleigh-ritz-left)\n", " + [Data](#data-left)\n", " + [Lift function](#lift-function-left)\n", " + [Finite Element Lagrange Basis Functions](#fem-lagrange-basis-left)\n", " + [Results](#results-left)\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Objectives](#toc)\n", "\n", " + Describe the Rayleigh-Ritz method for solving linear differential equations with symmetric positive definite operators (OneNote [Engy-5310-rayleigh-ritz-method](https://studentuml-my.sharepoint.com/:o:/g/personal/valmor_dealmeida_uml_edu/EsTzIb2Mcv5OkcSk0kSXXF8BXM4OnlzGfAd7sdcWLky-Gw?e=FQvvy1)).\n", " + Use the function approximation theory described in the course (see previous notebooks and notes).\n", " + Apply the finite element Lagrange basis functions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Poisson Problem with Dirichlet/Robin Boundary Conditions](#toc)\n", "\n", "The following sections describe what is referred to in the literature as the one-dimensional Poisson problem with Dirichlet boundary conditions. This is a classical boundary-value problem of mathematics." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solve the Poisson model problem. Find $u:[a,b]\\subset\\Reals\\rightarrow\\Reals$ such that:\n", "\n", "\\begin{align*}\n", " -\\bigl(-D(x)\\, u'\\bigr)'(x) + S(x)\\,u(x) + f(x) &= 0 \\quad\\quad \\forall \\quad\\quad x\\in\\ ]a,b[, \\\\\n", " u(a) &= u_a, \\\\\n", " q_n(b) &= h\\,\\bigl(u(b)-u_\\text{ref}\\bigr).\n", "\\end{align*}\n", " \n", "This problem is linear and has an analytical solution for given data: diffusion coefficient, $D(x)$, source, $S(x)$ slope, source bias, $f(x)$. The *diffusion flux* associated to the quantity $u$, is denoted $q := -D(x)\\,u'$, and it is often of interest as a derived quantity.\n", "\n", "The normal diffusive flux at $x=b$ is $q_n(b) = -D\\,u'(b) = h\\bigl(u(b)-u_\\text{ref}\\bigr)$\n", "\n", "The values of the dependent variable are given on the two end points of the domain. This is called *essential* boundary conditions or *Dirichlet boundary conditions*. If the values are equal to zero, the boundary condition is referred to as homogeneous." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Rayleigh-Ritz Method w/ Dirichlet/Robin Boundary Conditions](#toc)\n", "\n", "Find $u^*_N \\in V_N(a,b)\\subset V(a,b) = \\bigl\\{ u:[a,b]\\subset\\Reals\\rightarrow\\Reals \\bigr\\}$ such that it minimizes the constrained Poisson energy norm:\n", "\n", "\\begin{equation*}\n", " \\min\\limits_{u_0\\, \\in\\, V} \\norm{u_0+w-u_N}^2_{\\Ecal},\n", "\\end{equation*}\n", "\n", "where \n", "$V_N(a,b) := \\bigl\\{ u_N = \\sum\\limits_{i=1}^N\\,c_i\\,\\phi_i \\mid u_N(a) = 0, (u'_N,u'_N) < \\infty \\bigr\\}$, $\\{\\phi_i\\mid i=1\\ldots,N\\}$ is a basis of $V_N(a,b)$, and any $w \\in V$ with $w(a) = u_a$ is called the *lift* function.\n", "\n", "The optimum coefficients $\\cvec^* := \\{c_i\\mid i=1,\\ldots,N\\}$ solve\n", "\n", "\\begin{equation*}\n", " \\overset{(N\\times N)}{\\Amtrx}\\,\\overset{(N\\times 1)}{\\cvec^*} = \\overset{(N\\times 1)}\\bvec ,\n", "\\end{equation*}\n", "\n", "where:\n", " + $A_{i,j} = (D\\,\\phi'_i,\\phi'_j) - (S\\,\\phi_i,\\phi_j) + h\\phi_j(b)\\,\\phi_i(b) $\n", " + $b_i = (f,\\phi_i) - (D\\,w',\\phi'_i) + (S\\,w,\\phi_i) - h\\,\\bigl(w(b)-u_\\text{ref}\\bigr) \\,\\phi_i(b)$\n", " \n", "This formulation uses basis functions that satisfy the left homogeneous boundary condition, however the linear algebraic problem for the optimum coefficients accounts for the inhomogeneous boundary condition data through the lift function $w$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### [Data](#toc)\n", "\n", "Solve problem with parameter values:\n", "\n", "> + a = 0 cm\n", "> + b = 25 cm\n", "> + $u_a$ = 2 g/cc\n", "> + $h$ = see next cm/s\n", "> + $u_\\text{ref}$ = 0 g/cc\n", "> + D = 0.1 cm^2/s\n", "> + S = 2e-3 $s^{-1}$\n", "> + f = 1e-3 g/cc-s" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:49:41.439616Z", "start_time": "2022-04-23T05:49:41.436885Z" } }, "outputs": [], "source": [ "'''Domain'''\n", "\n", "x_a = 0\n", "x_b = 25" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:49:56.192494Z", "start_time": "2022-04-23T05:49:56.189458Z" } }, "outputs": [], "source": [ "'''Parameters and data'''\n", "\n", "diff_coeff = 0.1\n", "source_bias_value = 1e-2\n", "source_slope_value = 1.87e-2\n", "\n", "u_a = 2\n", "h = 1\n", "u_ref = 4.8125" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:49:58.305362Z", "start_time": "2022-04-23T05:49:56.947277Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# shape pts = 3\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Generate the source bias'''\n", "\n", "try: \n", " from engy_5310.toolkit import TargetFunction \n", "except ModuleNotFoundError:\n", " assert False, 'You need to provide your own code here. Bailing out.'\n", "\n", "shape_pts = [(x_a,source_bias_value), (x_b,source_bias_value)]\n", "#shape_pts = [(x_a,source_bias_value), ((x_a+x_b)/2,1.3*source_bias_value), (x_b,source_bias_value)]\n", "shape_pts = [(x_a,source_bias_value), ((x_b+x_a)/2,-2*source_bias_value/4), (x_b,source_bias_value)]\n", "#shape_pts = [(x_a,source_bias_value), ((x_b+x_a)/8,2*source_bias_value), ((x_b+x_a)/4,source_bias_value), (3*(x_b+x_a)/4,2*source_bias_value), (x_b,source_bias_value)]\n", "\n", "print('# shape pts = ', len(shape_pts))\n", "\n", "source_bias = TargetFunction(shape_pts, type='stepwise')\n", "source_bias = TargetFunction(shape_pts, type='linear')\n", "#source_bias = TargetFunction(shape_pts, type='legendre')\n", " \n", "source_bias.plot(n_plot_pts=200, show_shape_pts=True, title='Source Bias')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:49:58.474642Z", "start_time": "2022-04-23T05:49:58.307389Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# shape pts = 5\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Generate the source slope'''\n", "\n", "try: \n", " from engy_5310.toolkit import TargetFunction \n", "except ModuleNotFoundError:\n", " assert False, 'You need to provide your own code here. Bailing out.'\n", "\n", "shape_pts = [(x_a,source_slope_value), (x_b,source_slope_value)]\n", "#shape_pts = [(x_a,source_slope_value), ((x_b+x_a)/2,source_slope_value/4), (x_b,source_slope_value)]\n", "shape_pts = [(x_a,source_slope_value), ((x_b+x_a)/8,4*source_slope_value), ((x_b+x_a)/4,source_slope_value/3), (3*(x_b+x_a)/4,2*source_slope_value), (x_b,source_slope_value)]\n", "\n", "print('# shape pts = ', len(shape_pts))\n", "\n", "source_slope = TargetFunction(shape_pts, type='legendre')\n", "#source_slope = TargetFunction(shape_pts, type='linear')\n", " \n", "source_slope.plot(n_plot_pts=200, show_shape_pts=True, title='Source Slope', y_label=r'$S(x)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### [Lift Function](#toc)\n", "Since $w\\in V(a,b)$, construct as follows $w = \\sum\\limits_{i=1}^N\\,\\alpha_i\\,\\phi_i$ such that $w(a) = u_a$." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:02.465993Z", "start_time": "2022-04-23T05:50:02.246196Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Build the basis functions'''\n", "\n", "degree = 1\n", "n_elem = 1\n", "\n", "try: \n", " from engy_5310.toolkit import LagrangeFEMBasis \n", "except ModuleNotFoundError:\n", " assert False, 'You need to provide your own code here. Bailing out.'\n", " \n", "lift_basis = LagrangeFEMBasis(degree=degree, n_elem=n_elem, x_partition=[x_a, x_b])\n", "lift_basis.plot(n_plot_pts=300)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:03.077548Z", "start_time": "2022-04-23T05:50:03.074414Z" } }, "outputs": [], "source": [ "'''Build the coefficients of the lift function'''\n", "import numpy as np\n", "alpha_vec = np.zeros(len(lift_basis.basis_func_list))\n", "alpha_vec[0] = u_a\n", "alpha_vec[-1] = u_a/2 # any value" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:03.856643Z", "start_time": "2022-04-23T05:50:03.853705Z" }, "code_folding": [ 2 ] }, "outputs": [], "source": [ "'''Build the lift function'''\n", "\n", "def w_lift(x):\n", " a_mtrx = lift_basis.evaluation_matrix(x)\n", " return a_mtrx@alpha_vec" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:04.947861Z", "start_time": "2022-04-23T05:50:04.944613Z" }, "code_folding": [ 2 ] }, "outputs": [], "source": [ "'''Build the lift function derivative'''\n", "\n", "def w_lift_prime(x):\n", " a_mtrx = lift_basis.evaluation_matrix(x, derivative=True)\n", " return a_mtrx@alpha_vec" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:06.046751Z", "start_time": "2022-04-23T05:50:06.041718Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "w(a) = [2.] w(b) = [1.]\n" ] } ], "source": [ "'''Test boundary values'''\n", "\n", "print('w(a) = ',w_lift(x_a), ' w(b) = ',w_lift(x_b))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:06.567740Z", "start_time": "2022-04-23T05:50:06.416462Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Rayleigh Ritz Method with FEM Lagrange Basis Functions'''\n", "\n", "n_pts = 500\n", "x = np.linspace(x_a, x_b, n_pts)\n", "u_values = w_lift(x)\n", "\n", "import matplotlib.pyplot as plt\n", "#%matplotlib inline\n", "#plt.style.use('dark_background')\n", "plt.figure(1, figsize=(18, 5))\n", "\n", "plt.plot(x, u_values, 'r-', label='Lift function')\n", "\n", "plt.title(r'Rayleigh-Ritz Method with Finite Element Lagrange Basis Functions (n='+str(len(lift_basis.basis_func_list))+')', fontsize=20)\n", "plt.ylabel(r'$w(x)$', fontsize=18)\n", "plt.xlabel(r'$x$', fontsize=18)\n", "plt.xticks(fontsize=16)\n", "plt.yticks(fontsize=16)\n", "plt.legend(loc='best',fontsize=12)\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### [Finite Element Lagrange Basis Functions](#toc)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:07.985410Z", "start_time": "2022-04-23T05:50:07.428651Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Build the basis functions'''\n", "\n", "degree = [2,2]\n", "n_elem = [10,2]\n", "\n", "try: \n", " from engy_5310.toolkit import LagrangeFEMBasis \n", "except ModuleNotFoundError:\n", " assert False, 'You need to provide your own code here. Bailing out.'\n", " \n", "femlb = LagrangeFEMBasis(degree=degree, n_elem=n_elem, x_partition=[x_a, x_b-1.5, x_b], bc_x_min='dirichlet')\n", "femlb.plot(n_plot_pts=300, n_legend_cols=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " + $A_{i,j} = (D\\,\\phi'_i,\\phi'_j) - (S\\,\\phi_i,\\phi_j) + h\\phi_j(b)\\,\\phi_i(b) $" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:31.076564Z", "start_time": "2022-04-23T05:50:09.067458Z" } }, "outputs": [], "source": [ "'''Build the matrix of coefficients of the linear system (using global basis functions)'''\n", "# Too slow (keep for information)\n", "\n", "import numpy as np\n", "n = len(femlb.basis_func_list)\n", "a_mtrx = np.zeros((n, n), dtype=np.float64)\n", " \n", "for i,phi_prime_i in enumerate(femlb.basis_func_prime_list):\n", " for j,phi_prime_j in enumerate(femlb.basis_func_prime_list):\n", " (a_ij, _) = femlb.inner_product(phi_prime_j, phi_prime_i)\n", " a_mtrx[i,j] = a_ij * diff_coeff\n", " \n", "for i,phi_i in enumerate(femlb.basis_func_list):\n", " for j,phi_j in enumerate(femlb.basis_func_list):\n", " s_x_phi_j = lambda x: source_slope(x) * phi_j(x)\n", " (a_ij, _) = femlb.inner_product(s_x_phi_j, phi_i)\n", " a_mtrx[i,j] -= a_ij\n", " \n", "for i,phi_i in enumerate(femlb.basis_func_list):\n", " for j,phi_j in enumerate(femlb.basis_func_list):\n", " a_mtrx[i,j] += h * phi_j(x_b) * phi_i(x_b) " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:31.085752Z", "start_time": "2022-04-23T05:50:31.078785Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A is full rank.\n" ] } ], "source": [ "try: \n", " from engy_5310.toolkit import matrix_rank\n", "except ModuleNotFoundError:\n", " assert False, 'You need to provide your own code here. Bailing out.'\n", " \n", "if matrix_rank(a_mtrx) == min(a_mtrx.shape):\n", " print('A is full rank.')\n", "else:\n", " print('A is rank deficient.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "+ $b_i = (f,\\phi_i) - (D\\,w',\\phi'_i) + (S\\,w,\\phi_i) - h\\,\\bigl(w(b)-u_\\text{ref}\\bigr) \\,\\phi_i(b)$" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:32.776232Z", "start_time": "2022-04-23T05:50:31.087286Z" } }, "outputs": [], "source": [ "'''Build load vector (using global basis functions)'''\n", "# Too slow (keep for information)\n", "\n", "b_vec = np.zeros(n, dtype=np.float64)\n", "\n", "for i, phi_i in enumerate(femlb.basis_func_list):\n", " (b_vec[i], _) = femlb.inner_product(source_bias, phi_i) \n", " (term1, _) = femlb.inner_product(w_lift_prime, femlb.basis_func_prime_list[i])\n", " b_vec[i] -= diff_coeff * term1\n", " s_x_w = lambda x: source_slope(x) * w_lift(x)\n", " (term2, _) = femlb.inner_product(s_x_w, phi_i)\n", " b_vec[i] += term2\n", " b_vec[i] -= h * (w_lift(x_b) - u_ref) * phi_i(x_b)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:32.782015Z", "start_time": "2022-04-23T05:50:32.778601Z" } }, "outputs": [], "source": [ "'''Compute optimal coefficient vector'''\n", "\n", "c_star_vec = np.linalg.solve(a_mtrx, b_vec)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:32.788671Z", "start_time": "2022-04-23T05:50:32.783534Z" }, "code_folding": [ 2 ] }, "outputs": [], "source": [ "'''Build the best approximation function in V_N'''\n", "\n", "def u_star(x):\n", " u_0 = femlb.evaluation_matrix(x)@c_star_vec\n", " w = lift_basis.evaluation_matrix(x)@alpha_vec\n", " return u_0 + w" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:32.794038Z", "start_time": "2022-04-23T05:50:32.791111Z" }, "code_folding": [ 2 ] }, "outputs": [], "source": [ "'''Build the best approximation function in V_N'''\n", "\n", "def u_prime_star(x):\n", " u_prime_0 = femlb.evaluation_matrix(x, derivative=True)@c_star_vec\n", " w_prime = lift_basis.evaluation_matrix(x, derivative=True)@alpha_vec\n", " return u_prime_0 + w_prime" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### [Results: Dirichlet/Robin Boundary Conditions Case](#toc)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:32.984592Z", "start_time": "2022-04-23T05:50:32.795712Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Rayleigh Ritz Method with Fourier Basis Functions'''\n", "\n", "n_pts = 500\n", "x = np.linspace(x_a, x_b, n_pts)\n", "u_values = u_star(x)\n", "\n", "import matplotlib.pyplot as plt\n", "#%matplotlib inline\n", "#plt.style.use('dark_background')\n", "plt.figure(1, figsize=(18, 5))\n", "\n", "plt.plot(x, u_values, 'r-', label='Rayleigh-Ritz Solution w/ Dirichlet/Robin BC')\n", "\n", "plt.title(r'Rayleigh-Ritz Method with Finite Element Lagrange Basis Functions (n='+str(len(femlb.basis_func_list))+')', fontsize=20)\n", "plt.ylabel(r'$u_N(x)$', fontsize=18)\n", "plt.xlabel(r'$x$', fontsize=18)\n", "plt.xticks(fontsize=16)\n", "plt.yticks(fontsize=16)\n", "plt.legend(loc='best',fontsize=12)\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:32.993807Z", "start_time": "2022-04-23T05:50:32.986232Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "u^*_N(a) = [2.] u^*_N(b) = [4.29112] u^*'_N(b) = [5.23683]\n" ] } ], "source": [ "'''Rayleigh-Ritz solution evaluated at the boundaries'''\n", "\n", "np.set_printoptions(precision=5)\n", "print('u^*_N(a) = ',u_star(x_a), 'u^*_N(b) = ', u_star(x_b), \" u^*'_N(b) = \",u_prime_star(x_b))" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:50:33.016260Z", "start_time": "2022-04-23T05:50:32.996142Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q_nb computed = [-0.52368]\n", "h (u(b)-u_ref) = [-0.52138]\n", "flux error [%]= [0.44102]\n" ] } ], "source": [ "'''Flux at boundary'''\n", "\n", "print('q_nb computed = ', -diff_coeff*u_prime_star(x_b))\n", "print('h (u(b)-u_ref) = ',h*(u_star(x_b)-u_ref))\n", "print('flux error [%]= ',(-diff_coeff*u_prime_star(x_b) - h*(u_star(x_b)-u_ref))/(h*(u_star(x_b)-u_ref))*100)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Poisson Problem with Dirichlet/Robin Boundary Conditions](#toc)\n", "\n", "The following sections describe what is referred to in the literature as the one-dimensional Poisson problem with Dirichlet boundary conditions. This is a classical boundary-value problem of mathematics." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solve the Poisson model problem. Find $u:[a,b]\\subset\\Reals\\rightarrow\\Reals$ such that:\n", "\n", "\\begin{align*}\n", " -\\bigl(-D(x)\\, u'\\bigr)'(x) + S(x)\\,u(x) + f(x) &= 0 \\quad\\quad \\forall \\quad\\quad x\\in\\ ]a,b[, \\\\\n", " q_n(a) &= h\\,\\bigl(u(a)-u_\\text{ref}\\bigr) \\\\\n", " u(b) &= u_b.\n", "\\end{align*}\n", " \n", "This problem is linear and has an analytical solution for given data: diffusion coefficient, $D(x)$, source, $S(x)$ slope, source bias, $f(x)$. The *diffusion flux* associated to the quantity $u$, is denoted $q := -D(x)\\,u'$, and it is often of interest as a derived quantity.\n", "\n", "The normal diffusive flux at $x=a$ is $q_n(a) = -\\bigl(-D\\,u'(a)\\bigr) = h\\bigl(u(a)-u_\\text{ref}\\bigr)$.\n", "\n", "The values of the dependent variable are given on the two end points of the domain. This is called *essential* boundary conditions or *Dirichlet boundary conditions*. If the values are equal to zero, the boundary condition is referred to as homogeneous." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## [Rayleigh-Ritz Method w/ Dirichlet/Robin Boundary Conditions](#toc)\n", "\n", "Find $u^*_N \\in V_N(a,b)\\subset V(a,b) = \\bigl\\{ u:[a,b]\\subset\\Reals\\rightarrow\\Reals \\bigr\\}$ such that it minimizes the constrained Poisson energy norm:\n", "\n", "\\begin{equation*}\n", " \\min\\limits_{u_0\\, \\in\\, V} \\norm{u_0+w-u_N}^2_{\\Ecal},\n", "\\end{equation*}\n", "\n", "where \n", "$V_N(a,b) := \\bigl\\{ u_N = \\sum\\limits_{i=1}^N\\,c_i\\,\\phi_i \\mid u_N(a) = 0, (u'_N,u'_N) < \\infty \\bigr\\}$, $\\{\\phi_i\\mid i=1\\ldots,N\\}$ is a basis of $V_N(a,b)$, and any $w \\in V$ with $w(a) = u_a$ is called the *lift* function.\n", "\n", "The optimum coefficients $\\cvec^* := \\{c_i\\mid i=1,\\ldots,N\\}$ solve\n", "\n", "\\begin{equation*}\n", " \\overset{(N\\times N)}{\\Amtrx}\\,\\overset{(N\\times 1)}{\\cvec^*} = \\overset{(N\\times 1)}\\bvec ,\n", "\\end{equation*}\n", "\n", "where:\n", " + $A_{i,j} = (D\\,\\phi'_i,\\phi'_j) - (S\\,\\phi_i,\\phi_j) + h\\phi_j(a)\\,\\phi_i(a)$\n", " + $b_i = (f,\\phi_i) - (D\\,w',\\phi'_i) + (S\\,w,\\phi_i) - h\\,\\bigl(w(a)-u_\\text{ref}\\bigr) \\,\\phi_i(a)$\n", " \n", "This formulation uses basis functions that satisfy the left homogeneous boundary condition, however the linear algebraic problem for the optimum coefficients accounts for the inhomogeneous boundary condition data through the lift function $w$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### [Data](#toc)\n", "\n", "Solve problem with parameter values:\n", "\n", "> + a = 0 cm\n", "> + b = 25 cm\n", "> + $u_b$ = 2 g/cc\n", "> + $h$ = see next cm/s\n", "> + $u_\\text{ref}$ = 0 g/cc\n", "> + D = 0.1 cm^2/s\n", "> + S = 2e-3 $s^{-1}$\n", "> + f = 1e-3 g/cc-s" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:51:06.354086Z", "start_time": "2022-04-23T05:51:06.352027Z" } }, "outputs": [], "source": [ "'''Domain'''\n", "\n", "x_a = 0\n", "x_b = 25" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:51:14.534652Z", "start_time": "2022-04-23T05:51:14.531554Z" } }, "outputs": [], "source": [ "'''Parameters and data'''\n", "\n", "diff_coeff = 0.1\n", "source_bias_value = 1e-2\n", "source_slope_value = 1.87e-2\n", "\n", "u_b = 2\n", "h = 1\n", "u_ref = 4.8125" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:51:15.282506Z", "start_time": "2022-04-23T05:51:15.126075Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# shape pts = 3\n" ] }, { "data": { "image/png": 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JfJ3LxcWF999/n6+//ppNmzZx6tQpypUrR/v27enXrx87d+7MdUyVKlUYOXIkO3fuJD4+npMnTwLg4+PDU089Rffu3Yt1AQgRERGxLk4xMTHFN3FGMTp69CgvvfQSzZs3JywsLGf78uXL+fTTT3nrrbdo1arVDY/fvn07Y8aMISgoiNdeey1n+8yZM4mIiGDmzJkW38ImJCRQsWJFnJycGD58OIcPH77hiLaBAwdy/Phx5s2bR4UKFQA4f/48ffv2pV69ekyZMqWgL19ERERERERERIqZ3c7RtmHDBrKysujWrZvF9sDAQNzc3HLmRLmR7Of/eXz243Xr1llsr1Sp0i1HyIGx4ldsbCwtW7bMabIBVKhQgZYtW7Jz584Cf+MsIiIiIiIiIiLFz24bbbGxsTg7O+Pv72+xvVSpUvj6+hIbG3vT4+Pi4vD29sbHx8diu4+PD97e3sTFxd1xLsh7GfnatWuTmZnJwYMH7+jcIiIiIiIiIiJiHrtttF24cAFPT09KlSqV6zlvb28uXrxIRkbGDY9PTEzE29s7z+e8vb1JTEy841zZ58jrvNnXFhERERERERER22K3iyGkpaXdcCLc7OZbeno6pUuXvuHxeTXpso//+7L2tyP7uLyyZV/vRgspZGZmcuHCBUqXLp2v21RFREREREREROTmsrKyuHr1KuXLl8fZuWBj0uy20ebq6srVq1fzfC49PR3gho207OOz98vreDc3tzvKlX3ctWvXbpjL1dU1z2MvXLhA9+7d7+i6IiIiIiIiIiJyY0uWLLGYT/9O2G2jrXz58hw7doz09PRcDbXExETuvvtuXFxcbnj8zW4PTUxMzDV32+3kyj5HXufNvnZeskff9SrhxWLnH3nllWqMGAF3331HUUTkNowdO5bJkyebHUPE4aj2RMyh2hMxh2pPpOilp8O8eRAeDg88AAMHHmVnyJN8funSDe96vB1222jz9/fn559/JjY2lvr16+dsT09PJz4+noYNG970eD8/P9avX8+5c+csmmrnzp0jMTGRFi1a3HEugH379tGhQweL5/bv34+zszMPPvhgnsdm3y56tLIHQ1rOZ9/hD3joIXjjDRg2DMqUuaNIIpIPpUqVwsPDw+wYIg5HtSdiDtWeiDlUeyJFJzMTIiLgzTehVCmYPRs6dYKpI+ez18MDLl0qlGm67HYxhFatWuHk5MTSpUsttkdFRZGamkrr1q1ztp06dYrjx49b7BcQEACQ6/jsx38//nZUqVIFPz8/fvzxR4tRbYmJifz44480atQILy+vm55j/saN+Deswpo1EBlp/KlRA778Eq5fv6NYInILKSkpZkcQcUiqPRFzqPZEzKHaEyka69fDo4/CiBEQGgq//QadO4OTE5SrUoV/b9xYaNey2xFt1atX59lnnyUyMpK33nqLxx9/nGPHjrF8+XIaNmxIq1atcvYdMWIEZ8+eJSYmJmdbkyZNaNKkCREREaSkpFC7dm3279/P6tWradu2LbVr17a43tatW4mPjwfg7NmzXLt2jQULFgBQtmxZunTpkrPv4MGDCQkJYdiwYTnbIyMjycrKYuDAgbd8beXLl+fl118HoFUr2L4dli0zurIffgiTJ0OXLsb/MCJSOC5dumR2BBGHpNoTMYdqT8Qcqj2RwrV7N4wZAzt3wtixMHgw/PPu0AEhISQnJxfaNZ1iYmKyCu1sViYjI4Nly5YRFRVFQkICnp6eBAQE0LdvX4v7boODg3M12sC4zXT+/PmsX7+eixcvUqFCBdq1a0dwcDAlSlj2KKdMmUJ0dHSeOSpWrMg333xjsW3v3r3MmTOHAwcO4OzsTN26dRkwYAA1atS44etJSUkhMDCQpKSkPIcTX7sGc+bA229D1arG/cYtW97qXRIRERERERERsR/x8TBuHKxYAUOGGM22cuVuvH9ycjKenp5ERUXh7u5eoGvbdaPN3tyq0fZ/+8HHHxuNtmbN4L33oEGDYgwqIiIiIiIiIlLMzp6FiRPh66/hhReMgUj33nvr4wqz0Wa3c7Q5Mnd3Y0hkfDzUqgWNG0OvXvDHH2YnExEREREREREpXJcvw4QJxvz1J0/Crl3GYgf5abIVNjXa7Ji3N0ybBrGx4OJiNN1efx3+tgaDiOTTrFmzzI4g4pBUeyLmUO2JmEO1J3J70tPh00/B1xc2bIDoaPj2W/jHtPrFSo02B1C1KsybBzt2wKFDxv+AkyYZt5iKSP400P3XIqZQ7YmYQ7UnYg7Vnkj+ZGbCokXg7w+zZhm3iv70EzRtanYyNdocSr16EBUFK1fCqlXGkMovvjAWURCRm2vcuLHZEUQckmpPxByqPRFzqPZEbi4ryxi11qiRscDBhAmwZw907AhOTmanM6jR5oCeeAK2boWZM2H6dKhTByIijP9hRURERERERESszc6d0Lo1PP88vPgiHDwIffoYU2VZEzXaHJSTE3TpAnv3wujRMHw4PPaYcU+ziOQWGxtrdgQRh6TaEzGHak/EHKo9kdwOHYLu3eHJJ+Hxx42FH0eMADc3s5PlTY02B1eiBLz8svE/brdu0LUrPPMM/PKL2clErMuKFSvMjiDikFR7IuZQ7YmYQ7Un8n/OnIGBA6F+fShXzuhbTJ4MXl5mJ7s5p5iYGN0waCNSUlIIDAwkKSkJDw+PIrnGxYswZQp89pkx4m3iRKhevUguJSIiIiIiIiJiITkZpk6Fjz4yBgK9+66x6EHRXjMZT09PoqKicHd3L9C5NKJNLNx9N7z/PsTFgaurMX/b0KFw7pzZyURERERERETEXqWlGfPIV68OmzbB+vWwbFnRN9kKmxptkqf77oM5c+Dnn+HYMfD1hXfegcuXzU4mIiIiIiIiIvYiIwMWLAA/P6MPsWABxMSArS7Cq0ab3FSdOrBiBaxZA99/DzVqwIwZkJ5udjKR4hUeHm52BBGHpNoTMYdqT8Qcqj1xJFlZRq/h4Ydh/Hhj6qpffoF27YwFHG2VGm2SL82bw+bN8NVXMHMm1KoF33wDmZlmJxMpHp07dzY7gohDUu2JmEO1J2IO1Z44iu3boVUr6NUL+vUzpq/q1QtcXMxOVnBqtEm+OTlBp07w228wbhyMGgWPPALr1pmdTKTo+dvaxAAidkK1J2IO1Z6IOVR7Yu/i4uC55+Cpp6BFC4iPh+HDjTni7YUabXLbXFyMjvPBg/D889CjB7RpA7t2mZ1MRERERERERKzN6dPw6qvw0EPg4wOHDhm3inp6mp2s8KnRJnesdGkYOdLoQDdqBE88AcHBcPiw2clECt+2bdvMjiDikFR7IuZQ7YmYQ7Un9ubSJRg7FmrWhD//hD174PPP4Z57zE5WdNRokwIrVw6mTDGGgN51F9SrB4MGwdmzZicTKTx79uwxO4KIQ1LtiZhDtSdiDtWe2IvUVJg2DXx9Yds22LgRliyBBx80O1nRc4qJickyO4TkT0pKCoGBgSQlJeHh4WF2nBs6cADefNNYpXTECOOPFccVERERERERkUKQkQELFxqriJYvbwzKefpp619FNDk5GU9PT6KionB3dy/QuTSiTQpdrVqwfLmxSEJMjNHB/uQTSEszO5mIiIiIiIiIFLasLIiKMuZge+cdo8G2axc884z1N9kKmxptUmSaNIEff4R58+Crr8DfH/7zH8jMNDuZiIiIiIiIiBSGrVuNOdv79YNXXoHYWGPhRGcH7Tg56MuW4uLkBB06wK+/Gl3tsWPh4Ydh7Vqj4y1iK0JDQ82OIOKQVHsi5lDtiZhDtSe25MAB6NLFuDU0IMBYKHHIEChVyuxk5lKjTYqFiwv07m0smNC7N7zwAjz1FOzcaXYykfwZNmyY2RFEHJJqT8Qcqj0Rc6j2xBacPAkvv2wMoqlSxWiwvfOO5mbPpkabFCs3NwgJgSNHjFtLn3wSgoLg4EGzk4ncXKVKlcyOIOKQVHsi5lDtiZhDtSfW7M8/4Y03jJVDU1Lg99/hs8+gYkWzk1kXNdrEFJ6e8O67cOiQsRJJgwYwcCCcOWN2MhERERERERHJdvUqTJ0K1avDL7/Apk3w3/9CjRpmJ7NOarSJqSpXhi++MOZwO38eataEceMgKcnsZCKWoqOjzY4g4pBUeyLmUO2JmEO1J9bk+nWYM8cYwfbNN7BkCXz/PTRqZHYy66ZGm1gFPz9YuhR++AG2bAFfX/joI0hLMzuZiOHSpUtmRxBxSKo9EXOo9kTModoTa5CVBStWQP36MHkyfPCBMb96mzZmJ7MNTjExMVr70UakpKQQGBhIUlISHnY8y2BWFkRHG/d+JyVBWJixeIKLi9nJREREREREROzX5s3G7+KHD8Nbb8GAAY6ximhycjKenp5ERUXh7u5eoHOVKKRMVikzM5Nly5axcuVKEhIS8PLyIiAggL59++Lm5nbL49PT01m4cCHr1q3jwoULVKhQgfbt2xMcHIxLHl2f6OhoIiIiOH78OGXLlqVp06YMGDAAT0/PXPtu2LCB5cuXc+LECa5fv06lSpVo3bo1Xbp0yVc2e+bkBG3bGksEL1oE48cbHfQpU6BdO+N5ERERERERESkce/fC2LEQEwOjRhmDX8qWNTuVbbLrW0dnzJjBzJkzqVatGkOHDqVly5YsXbqUcePGkZV164F8YWFhLFiwgIYNGzJs2DAaNGjA7Nmz+fDDD3PtGxERwZQpUyhbtixDhgwhMDCQH374gZCQEFJTUy32nTt3LhMnTqRUqVL07duXV155hSpVqvDll18yfvz4Qnv9ts7ZGV58EWJj4aWXoHdvY5XSbdvMTiaO6J91LCLFQ7UnYg7Vnog5VHtS3I4fh3794NFH4YEHID7eGMmmJtuds9tG29GjR4mMjKRFixaEhYURGBjIoEGDeO2119i1axcbN2686fHbt29ny5YtBAUFMXr0aDp06MDo0aMJCgpi9erVHDhwIGffpKQk5syZg7+/P9OmTaNjx47079+f8ePHc+TIESIjI3P2zczMZOnSpdSsWZMPPviALl260LlzZ8LCwmjWrBk///wzCQkJRfW22CRXVxg2DI4cgZYtoXVreO45owEnUlzGjh1rdgQRh6TaEzGHak/EHKo9KS4XLxoj1/z94do12LcPPv4YfHzMTmb77LbRtmHDBrKysujWrZvF9sDAQNzc3Fi/fv1Nj89+/p/HZz9et25dzrbNmzeTmppKly5dLG4pbdq0KZUrV7a4VkZGBqmpqdx99904O1u+/eXLlwfA1dU1vy/ToXh4GPO1HT4MFStCw4bwyitw6pTZycQRTJ482ewIIg5JtSdiDtWeiDlUe1LU/vrLmJapenX4/XdjMcKFC43HUjjsttEWGxuLs7Mz/v7+FttLlSqFr68vsbcYDhUXF4e3tzc+/2jn+vj44O3tTVxcnMW1AOrUqZPrPLVq1eKPP/4g7f8vn1myZEnq1avHzp07+e9//8upU6dISEggKiqKtWvX8uyzz1KuXLk7es2OolIlmDkTfvvNWCzhwQchNBS0QI8UJUefO1HELKo9EXOo9kTModqTonL9Onz1FdSsCcuWwfLlsHatMYBFCpfdLoZw4cIFPD09KZXH8hje3t7s27ePjIyMPBc1AEhMTKRq1ap5Puft7U1iYqLFtbK357VvZmYmFy5coHLlyoAxHPi9997jyy+/5MsvvwTA2dmZvn370qtXr9t7oQ6sZk1YvBh+/tlYFaV6dWPyxsGDQZ9PIiIiIiIi4uiysiAy0vhdOTMTpk+Hbt20yGBRstsRbWlpaZQsWTLP57Kbb+np6Tc9Pq8mXfbxf5+kMvvveV0v+xzZI9oAypQpw/3330+zZs0YO3Ysb7/9Nm3atGHu3LnMmzfv5i9McnnkEVi/Hr75xlil9MEHYd48yMgwO5nYk8WLF5sdQcQhqfZEzKHaEzGHak8K048/QpMm8NprMHy4MQ9bUJCabEXNbhttrq6uXLt2Lc/nshtsN2qkZR9/o0Zcenq6xZDe7L/ndb3sc2TPu5aZmcnIkSOJj49n4sSJtGnThpYtWzJmzBg6duzI/PnzOXz48E1fW1BQECEhIYSEhLBy5cpcK5suXryY6OjonMcJCQmEhoZanGPWrFls+9vynbGxsYSHh1vsEx4ebnGL7bZt25g1a5bFPqGhoRaLN0RHR1t8OKSmphZLPicn8PDYxoABswgPN+Zya9AAunUL5cwZ8/OBdb9/ynfrfN9//71V57P290/5lO9O85UpU8aq81n7+6d8ynen+by8vKw6XzblUz57y+fl5WXV+cC63z/lM/L99ht06ADt20dTrdpi4uPhX/+CjAzryJfN7Pdv6NChOb2VwlyIxCkmJiar0M5mRUaNGsXu3btZs2ZNroba4MGDOXPmDMuWLbvh8b179+bq1atERETkei4oKAgfHx9mzJgBwLRp04iKimLhwoVUqVLFYt9JkyYRExPD6tWrcXV15ddff+X1119n4MCBdO/e3WLfXbt2MXLkSAYNGpRrEQaAlJQUAgMDSUpKwsPDI9/vhSNKT4cvvzQabn5+EB4OTZuanUpERERERESkaBw7Bm+9BUuWwMCBxu2iecxwJXlITk7G09OTqKgo3N3dC3Quux3R5u/vT2ZmZq5FD9LT04mPj8fPz++mx/v5+ZGYmMi5c+cstp87d47ExESL47MXXNi3b1+u8xw4cICqVavmjGjLns8tMzMz174Z//9ex7yek9tTqpQxV1t8PDz1FDzzDDz7LOzfb3YyERERERERkcKTmAghIeDvb8zJduAAfPihmmxmsdtGW6tWrXBycmLp0qUW26OiokhNTaV169Y5206dOsXx48ct9gsICADIdXz2478f36xZM1xdXYmMjMxplgFs3bqV06dPW+ybvcDCDz/8YLEvkDMc8lZNQMm/u+6Ct9+Gw4fhvvugUSN46SU4ccLsZGJr/j7EWUSKj2pPxByqPRFzqPbkdqSkwLvvgq8vxMXB9u0wfz5Uq2Z2Msdmt4226tWr8+yzz7Jp0ybeeustVq1axcyZM5k5cyYNGzakVatWOfuOGDGCPn36WBzfpEkTmjRpQkREBFOnTmXVqlVMnTqViIgI2rZtS+3atXP29fLyon///sTGxjJy5EhWrlzJ3LlzmThxItWqVaNr1645+9aoUYPmzZtz+PBh/vWvf7FkyRIiIyMZNWoUGzZs4PHHH6dBgwZF/wY5mIoV4dNPYe9euHrVuJ109Gi4eNHsZGIrPv74Y7MjiDgk1Z6IOVR7IuZQ7Ul+XLsGX3wBNWrAypXw3XewahXUr292MgE7nqMNjFsxly1bRlRUFAkJCXh6ehIQEEDfvn0pXbp0zn7BwcGcPXuWmJgYi+PT09OZP38+69ev5+LFi1SoUIF27doRHBxMiRIlcl1v7dq1REREcOLECdzd3WnatCkDBgzImUw22/Xr14mKimLt2rWcPn2a1NRU7rnnHgICAujZs+cNF2nQHG2FZ/duCA2FHTuM/w4ZAn/7X0JERERERETEqmRlwdKl8OabxoKA770HXbpoFdHCUJhztNl1o83eqNFW+NavhzFjICEB3nkH+vSBPHqoIiIiIiIiIqaJiYE33oCTJ43fXfv10++uhUmLIYgUktatjVFtH35ofBtQvz58+63xTYGIiIiIiIiImX79Fdq2NUaude1qzD8+YICabNZMjTZxeM7O0L27sTLL4MHwr39Bs2awaZPZycSazJo1y+wIIg5JtSdiDtWeiDlUe5Lt6FF48UVo2hTq1YP4eONurDJlzE4mt6JGm8j/V7IkvPaa8Q1Bu3bQoQN07GgsoCCiRUpEzKHaEzGHak/EHKo9OX8ehg2D2rWN31FjY2HqVChf3uxkkl9qtIn8Q9myMH688Y2Bry88+ij07QvHj5udTMzUuHFjsyOIOCTVnog5VHsi5lDtOa4rVyAsDKpXN0az7dwJc+fC/febnUxulxptIjdQoQJMnw7790NGBvj7w8iRcOGC2clERERERETEHqSnw4wZxiCPtWth9Wr47juoW9fsZHKn1GgTuYUHHoAFC2DrVti3z/gH8L334K+/zE4mxSk2NtbsCCIOSbUnYg7Vnog5VHuOIzMTFi82bhGdMQO+/BK2bIEWLcxOJgWlRptIPj30EKxZA5GRxp8aNYx/DK9fNzuZFIcVK1aYHUHEIan2RMyh2hMxh2rPMaxfb0xRNGIEjB0Lv/0GnTuDk5PZyaQwOMXExGSZHULyJyUlhcDAQJKSkvDw8DA7jkPLyoJly+DNN41/DCdPNpZb1j+MIiIiIiIikpfdu42VQ3fuNBpsgwdD6dJmpxKA5ORkPD09iYqKwt3dvUDn0og2kTvg5ATduhkrkr7+OgwaBE2awI8/mp1MRERERERErEl8PPTsCc2bQ8OGcOQIjBqlJpu9UqNNpABKloRXX4XDh6FTJ+NP+/awZ4/ZyURERERERMRMZ88ao9bq1gV3dzh4EMLDoVw5s5NJUVKjTaQQuLsbQ3+PHIFataBxY+jVC/74w+xkUljCw8PNjiDikFR7IuZQ7YmYQ7VnHy5fhgkTjHm9T56EXbtg9my4916zk0lxUKNNpBCVLw/TpkFsLLi4GE2311+HxESzk0lBde7c2ewIIg5JtSdiDtWeiDlUe7YtPR0+/RR8fWHDBoiOhm+/NVYWFcehRptIEahaFebNgx074NAh4x/aSZMgJcXsZHKn/P39zY4g4pBUeyLmUO2JmEO1Z5syM2HRIvD3h1mzYM4c+OknaNrU7GRiBjXaRIpQvXoQFQUrV8KqVcbQ4S++gGvXzE4mIiIiIiIiBZGVZYxaa9TIWE10wgRjvu7AQGMBPXFMarSJFIMnnoCtW2HmTJg+HerUgYgI4x9msQ3btm0zO4KIQ1LtiZhDtSdiDtWe7di5E1q3huefhxdfNBY66NPHmEJIHJsabSLFxMkJunSBvXth9GgYPhwee8y4d1+s3x4tJStiCtWeiDlUeyLmUO1Zv0OHoHt3ePJJePxxiI+HESPAzc3sZGItnGJiYjSmxkakpKQQGBhIUlISHh4eZseRAvrrL2OizPfeM/6BnjIFGjY0O5WIiIiIiIj805kzEBZmzMXdu7dxm2jlymanksKSnJyMp6cnUVFRuLu7F+hcGtEmYpIyZeCNN+DIEWjQAJo1gxdeMB6LiIiIiIiI+ZKTYfx4qFkTzp2DX34xFjxQk01uRI02EZPdfTe8/z7ExYGrqzF/29Chxj/iIiIiIiIiUvzS0oz5tatXh02bYP16WLbMWFlU5GbUaBOxEvfdZywD/fPPcOwY+PrCO+/A5ctmJxOA0NBQsyOIOCTVnog5VHsi5lDtmS8jAxYsAD8/4/ezBQsgJgYaNzY7mdgKNdpErEydOrBiBaxZA99/DzVqwIwZkJ5udjLHNmzYMLMjiDgk1Z6IOVR7IuZQ7ZknK8v4Hezhh41bRSdONG4TbdfOWNhOJL/UaBOxUs2bw+bN8NVXMHMm1KoF33wDmZlmJ3NMlSpVMjuCiENS7YmYQ7UnYg7Vnjm2b4dWraBXL+jXz5jWp1cvcHExO5nYIjXaRKyYkxN06gS//QbjxsGoUfDII7BundnJREREREREbFtcHDz3HDz1FLRoAfHxMHy4MXe2yJ1So03EBri4GN+sHDwIzz8PPXpAmzawa5fZyRxHdHS02RFEHJJqT8Qcqj0Rc6j2isfp0/Dqq/DQQ+DjA4cOGbeKenqanUzsgRptIjakdGkYOdL4pqVRI3jiCQgOhsOHzU5m/y5dumR2BBGHpNoTMYdqT8Qcqr2idekSjB0LNWvCn3/Cnj3w+edwzz1mJxN7okabiA0qVw6mTDGGOt91F9SrB4MGwdmzZiezXz169DA7gohDUu2JmEO1J2IO1V7RSE2FadPA1xe2bYONG2HJEnjwQbOTiT0qYXaAopSZmcmyZctYuXIlCQkJeHl5ERAQQN++fXFzc7vl8enp6SxcuJB169Zx4cIFKlSoQPv27QkODsYlj1kRo6OjiYiI4Pjx45QtW5amTZsyYMAAPG8w/vT777/nu+++4+jRo2RmZlKpUiVatWpF7969C/zaxTHce6+xWEJICLz5pvHBMWKE8cfDw+x0IiIiIiIi5snIgIULjVVEy5eHRYvg6ae1iqgULbtutM2YMYPly5fTokULunfvzrFjx1i6dCmHDx9m6tSpON2iusLCwtiyZQvt2rWjTp067Nu3j9mzZ3P69GlGjRplsW9ERAQzZ86kQYMGDBkyhPPnzxMREcGBAweYMWNGrsZeeHg469atIyAggKeffhqA06dPc1ZDkuQO1KoFy5fD//4Hb7xhrFI6frwx74Am8iwcqamp+WrQi0jhUu2JmEO1J2IO1V7hyMqCVasgNBRSUoy7gYKDwVn39EkxsNtG29GjR4mMjKRFixaEhYXlbL/nnnv49NNP2bhxI61atbrh8du3b2fLli0EBQXx2muvAdChQwfKli1LREQEgYGB1KpVC4CkpCTmzJmDv78/06ZNyxnt5u/vz5tvvklkZCQ9e/bMOfeqVav4/vvvee+993jssceK4uWLg2rSBH78EVavhjFj4KOPYNIk6NlTHyoFNXbsWD788EOzY4g4HNWeiDlUeyLmUO0V3NatxuCD2Fh46y1j8EGpUmanEkdit796b9iwgaysLLp162axPTAwEDc3N9avX3/T47Of/+fx2Y/XrVuXs23z5s2kpqbSpUsXi1tKmzZtSuXKlS2ulZWVxaJFi2jSpAmPPfYYWVlZ/PXXX3f2IkXy4OQEHTrAr7/CO+8Yk30+/DCsXWt8syN3ZvLkyWZHEHFIqj0Rc6j2RMyh2rtzBw5Aly7GraEBAcYCckOGqMkmxc9uG22xsbE4Ozvj7+9vsb1UqVL4+voSGxt70+Pj4uLw9vbGx8fHYruPjw/e3t7ExcVZXAugTp06uc5Tq1Yt/vjjD9LS0gA4ceIEp0+fxt/fny+++IKOHTvSoUMHOnXqxCeffEJqauodvV6Rf3Jxgd69jQUTeveGF16Ap56CnTvNTmabNIRfxByqPRFzqPZEzKHau30nT8LLLxuDC6pUMRps77yjOavFPHbbaLtw4QKenp6UyqN97e3tzcWLF8nIyLjh8YmJiXh7e+f5nLe3N4mJiRbXyt6e176ZmZk5+xw/fhyAZcuWsW7dOvr378/bb79N48aNiYyM5M033yRLw46kELm5GYslHDli3Fr65JMQFAQHD5qdTERERERE5M78+adxi+iDDxrzsP3+O3z2GVSsaHYycXR222hLS0ujZMmSeT6X3XxLT0+/6fF5Nemyj//7yLPsv+d1vexzZI9ou3r1KgDJyclMmzaNrl270rJlS8aOHUubNm3YvXs3OzXkSIqApye8+y4cOmSsuNOgAQwcCGfOmJ3MNixevNjsCCIOSbUnYg7Vnog5VHu3dvUqTJ0K1avDL7/Apk3w3/9CjRpmJxMx2G2jzdXVlWvXruX5XHaD7UaNtOzjb9SIS09PtxjSm/33vK6XfQ7X/7/0Y/Y1a9WqRbVq1Sz2bdeuHQC//vrrDXMBBAUFERISQkhICCtXriQkJMSi8bd48WKio6NzHickJBAaGmpxjlmzZrFt27acx7GxsYSHh1vsEx4ebnGL7bZt25g1a5bFPqGhoSQkJOQ8jo6OtvhwSE1NVT4ry1e5MnzxBQwaFE58fCw1a8K4cbB+vXXky2Zt79/3339v1fms/f1TPuW703xlypSx6nzW/v4pn/LdaT4vLy+rzpdN+ZTP3vJ5eXlZdT4w7/27fh1mzUrFxyeERYtSWbIEvv8eDh+2jnxg3e+f8uXON3To0JzeytixYyksTjExMXZ5n+KoUaPYvXs3a9asydVQGzx4MGfOnGHZsmU3PL53795cvXqViIiIXM8FBQXh4+PDjBkzAJg2bRpRUVEsXLiQKlWqWOw7adIkYmJiWL16Na6uruzfv59BgwbxxBNP8M4771jse/z4cfr06UOHDh0YOXJkruumpKQQGBhIUlISHrrhXArJ9u3GCqW//w5vvgmvvQb/vy8sIiIiIiJiqqws+O47CA2F9HTjLp2gIHC222FDYobk5GQ8PT2JiorC3d29QOey2/81/f39yczMzLXoQXp6OvHx8fj5+d30eD8/PxITEzl37pzF9nPnzpGYmGhxfPaCC/v27ct1ngMHDlC1atWcEW3Vq1fH1dU113kBzp49C0C5cuXy8QpFCsfjj8OGDbBwIcybB35+MH8+3GQKQxERERERkSK3eTM0bw6vvAKDBsH+/dCjh5psYt3s9n/PVq1a4eTkxNKlSy22R0VFkZqaSuvWrXO2nTp1KmeRgmwBAQEAuY7Pfvz345s1a4arqyuRkZEWCyxs3bqV06dPW+zr5uZGixYtiIuLY//+/Tnbs7Ky+PbbbwF4/PHH7+Qli9wxJydo29aY42DSJJgwARo2hNWrjW+QBIshziJSfFR7IuZQ7YmYQ7Vn2LsXOnWC9u3hmWeMlUQHDYKbzP4kYjXsttFWvXp1nn32WTZt2sRbb73FqlWrmDlzJjNnzqRhw4a0atUqZ98RI0bQp08fi+ObNGlCkyZNiIiIYOrUqaxatYqpU6cSERFB27ZtqV27ds6+Xl5e9O/fn9jYWEaOHMnKlSuZO3cuEydOpFq1anTt2tXi3C+//DJeXl6MHj2ar7/+msjISEaPHs3WrVt5+umnqVu3btG+OSI34OwML74IsbHw0kvQu7exSunfbnd3WB9//LHZEUQckmpPxByqPRFzOHrtHT8O/frBo4/CAw/A4cPw1ltQtqzZyUTyz27naAPIyMhg2bJlREVFkZCQgKenJwEBAfTt25fSpUvn7BccHMzZs2eJiYmxOD49PZ358+ezfv16Ll68SIUKFWjXrh3BwcGUKFEi1/XWrl1LREQEJ06cwN3dnaZNmzJgwICcyWT/LiEhgdmzZ/Pzzz+TkpJC5cqVad++PUFBQTjfYBys5miT4pacDB98AB9+aHyT9O678P/vlBYRERERESkUFy/Ce+/BjBnQtSuEhRmriooUl8Kco82uG232Ro02MUtCgvFhN3cu9Opl3Fr6j3U/REREREREbstff8Enn8CUKdC4sdFsa9jQ7FTiiLQYgogUq0qVYOZM+O03SEqCBx80Vv25dMnsZCIiIiIiYmuuX4evvoKaNWHZMli+HNauVZNN7IMabSKSbzVrwuLF8OOPsGOHMZz7gw8gNdXsZEVv1qxZZkcQcUiqPRFzqPZEzGHvtZeVZTTV6taFqVNh+nTj94r/vxahiF1Qo01Ebtsjj8D69fDNN7BokTHCbd48+Nuiu3anQYMGZkcQcUiqPRFzqPZEzGHPtffjj9CkibF66PDhsG8fBAWBk5PZyUQKlxptInJHnJzg6afh558hPNyYw61BA1i50vimyt40btzY7AgiDkm1J2IO1Z6IOeyx9n77DTp0gE6doGNHYyXRf/0LSpY0O5lI0VCjTUQKxNkZevaE2FjjA/Oll+CJJ2DrVrOTiYiIiIiIWY4dgz594PHHwc8P4uPhzTehgPPMi1g9NdpEpFCUKgWDBxsfoE89Bc88A88+C/v3m52scMTGxpodQcQhqfZEzKHaEzGHPdReYiKEhIC/v3Gny4ED8OGH4O1tdjKR4qFGm4gUqrvugrffNoaE33cfNGpkjHI7ccLsZAWzYsUKsyOIOCTVnog5VHsi5rDl2ktJgXffBV9fiIuD7dth/nyoVs3sZCLFyykmJsYOZ1OyTykpKQQGBpKUlISHh4fZcUTyJT4exo+Hb781RryNGQN33212KhERERERKQzXrsHXX8M770DVqsb8zS1bmp1K5PYkJyfj6elJVFQU7gW8v1kj2kSkSPn6GiuTbt4Me/YYj99/H65eNTuZiIiIiIjcqawsiIiAOnVg+nSYMQP+9z812UTUaBORYvHwwxAdbXwYL1kCNWsa33xdv252MhERERERuR0xMcYiB8OHw6hRsHcvdO0KTk5mJxMxnxptIlKsWreGHTuMCVHfew/q1zduK82y8pvYw8PDzY4g4pBUeyLmUO2JmMPaa+/XX6FtW+jSxWisHToEAwZAiRJmJxOxHmq0iUixc3aG7t2NFYgGD4Z//QuaNYNNm8xOdmOdO3c2O4KIQ1LtiZhDtSdiDmutvaNH4cUXoWlTqFfPmId5zBgoU8bsZCLWR402ETFNyZLw2mvGCqXt2kGHDtCxozH03Nr4+/ubHUHEIan2RMyh2hMxh7XV3vnzMGwY1K5t/OweGwtTp0L58mYnE7FearSJiOnKljVWJo2PNxZLePRR6NsXjh83O5mIiIiIiOO5cgXCwqB6dWM0286dMHcu3H+/2clErJ8abSJiNSpUMFYs2r8fMjLA3x9GjoQLF8xOBtu2bTM7gohDUu2JmEO1J2IOs2svPd1YPdTX11jIbM0a+O47qFvX1FgiNkWNNhGxOg88AAsWwNatsG+f8UH/3nvw11/mZdqzZ495FxdxYKo9EXOo9kTMYVbtZWbC4sXGLaIzZsCXX8LmzdC8uSlxRGyaU0xMjJWv9SfZUlJSCAwMJCkpCQ8PD7PjiBSbmBh44w04eRLefhv699fKRiIiIiIihWH9euNn7bNnjdtFe/fWz9rieJKTk/H09CQqKgp3d/cCnUsj2kTE6rVqBdu3wyefwLRpxtD15cshS18TiIiIiIjckd274emnISgIgoPh0CF9oS1SGNRoExGb4OQE3boZK5K+/joMHgxNmsCPP5qdTERERETEdsTHQ8+exm2hDRvCkSMwahSULm12MhH7oEabiNiUkiXh1VeNb9w6dTL+tG8PRT2dRWhoaNFeQETypNoTMYdqT8QcRVl7Z88aX1bXrQvu7nDwIISHQ7lyRXZJEYekRpuI2CR3dxg71vgGrlYtaNwYevWCP/4omusNGzasaE4sIjel2hMxh2pPxBxFUXuXL8OECVCjBpw6Bbt2wezZcO+9hX4pEUGNNhGxceXLG/O2xcaCi4vRdHv9dUhMLNzrVKpUqXBPKCL5otoTMYdqT8QchVl76enw6afg6wsbNkB0NERGGiuLikjRUaNNROxC1aowbx7s2GHcVurrC5MmQUqK2clERERERIpPZiYsWgT+/jBrFsyZAz/9BE2bmp1MxDGo0SYidqVePYiKgpUrYdUqY4j8F1/AtWsFO290dHThBBSR26LaEzGHak/EHAWpvawsY9Rao0YwZoxxu+iePRAYaCwsJiLFQ402EbFLTzwBW7fCzJkwfTrUqQMREcYPIHfi0qVLhRlPRPJJtSdiDtWeiDnutPZ27oTWreH55+HFF42FDvr0MaZWEZHi5RQTE3OHv3ZKcUtJSSEwMJCkpCQ8PDzMjiNiM65fN24rnTABKlc2VlcKCDA7lYiIiIhIwRw6BG++adzJMWwYjB4NXl5mpxKxPcnJyXh6ehIVFYW7u3uBzlWikDJZpczMTJYtW8bKlStJSEjAy8uLgIAA+vbti5ub2y2PT09PZ+HChaxbt44LFy5QoUIF2rdvT3BwMC55fDUQHR1NREQEx48fp2zZsjRt2pQBAwbg6el50+u88847bNy4EV9fX2bPnn3Hr1dE8laiBLz8svEN36efQteu8PjjMGUKNGxodjoRERERkdtz5gyEhRlfJvfubTTcKlc2O5WIgJ3fOjpjxgxmzpxJtWrVGDp0KC1btmTp0qWMGzeOrHzcPxYWFsaCBQto2LAhw4YNo0GDBsyePZsPP/ww174RERFMmTKFsmXLMmTIEAIDA/nhhx8ICQkhNTX1htfYsWMHP/30E66urgV6rSJya2XKwBtvwJEj0KABNGsGL7xgPL6Vm9WxiBQd1Z6IOVR7Iua4Ve0lJ8P48VCzJpw/D7/+aix4oCabiPWw20bb0aNHiYyMpEWLFoSFhREYGMigQYN47bXX2LVrFxs3brzp8du3b2fLli0EBQUxevRoOnTowOjRowkKCmL16tUcOHAgZ9+kpCTmzJmDv78/06ZNo2PHjvTv35/x48dz5MgRIiMj87xGamoq06dPp1OnTnhpfK9Isbn7bnj/fYiLA1dXY/62oUPh3LkbHzN27NjiCygiOVR7IuZQ7YmY40a1l5ZmzDtcvTps2gTr18PSpeDnV7z5ROTW7LbRtmHDBrKysujWrZvF9sDAQNzc3Fi/fv1Nj89+/p/HZz9et25dzrbNmzeTmppKly5dLG4pbdq0KZUrV77htebNm0dqaiovvfRS/l+YiBSa++4zljv/+Wc4dgx8feGdd+Dy5dz7Tp48ufgDiohqT8Qkqj0Rc/yz9jIyYMECo6E2Z47x95gYaNzYpIAickt222iLjY3F2dkZf39/i+2lSpXC19eX2NjYmx4fFxeHt7c3Pj4+Ftt9fHzw9vYmLi7O4loAderUyXWeWrVq8ccff5CWlmaxPT4+nqVLlzJw4EDKli17W69NRApXnTqwYgWsWQPffw81asCMGZCe/n/75GdeRxEpfKo9EXOo9kTMkV17WVnGz6YPP2zcKjpxIvzyC7RrB05OJocUkZuy20bbhQsX8PT0pFSpUrme8/b25uLFi2RkZNzw+MTERLy9vfN8ztvbm8TERItrZW/Pa9/MzMycfcBYpGHatGnUr1+fNm3a5Ps1iUjRat4cNm+Gr76CmTOhVi345hvIzDQ7mYiIiIg4iu3boVUr6NUL+vUzpjvp1QvyWI9PRKyQ3Tba0tLSKFmyZJ7PZTff0v8+XCWP4/Nq0mUf//dJKrP/ntf1ss/x9xFtK1as4NChQwwbNuwWr0JEipuTE3TqBL/9BuPGwahR8Mgj8Oabi82OJuKQFi9W7YmYQbUnUvzi4uDxxxfz1FPQogXEx8Pw4cacwiJiO+y20ebq6sq1a9fyfC67wXajRlr28TdqxKWnp1sMp8/+e17Xyz5H9qqiiYmJfP3113Tv3p2qVavm45XkFhQUREhICCEhIaxcuTLXyqaLFy8mOjo653FCQgKhoaEW55g1axbbtm3LeRwbG0t4eLjFPuHh4Ra32G7bto1Zs2ZZ7BMaGkpCQkLO4+joaIsfzFJTU5VP+Wwy386d2+jXDw4ehNatY/ngg+9p0wZ27bKOfNb+/imf8hVWvjJlylh1Pmt//5RP+e40X/ZCXdaaL5vyKZ895Pv888W0bx/NQw9BhQpebNmSwPXroXh6Wkc+a3//lE/57jTf0KFDc3orhbkIkFNMTExWoZ3NiowaNYrdu3ezZs2aXA21wYMHc+bMGZYtW3bD43v37s3Vq1eJiIjI9VxQUBA+Pj7MmDEDgGnTphEVFcXChQupUqWKxb6TJk0iJiaG1atX4+rqypQpU9i2bRvTp0+3aNYNGTIEd3d3pkyZgpubW56rkKakpBAYGEhSUhIeHh6383aISAH9+SeEh8Onn0LHjjBpkjGXm4iIiIjInbh0Cd5/Hz7+GDp0MH6+fPBBs1OJOKbk5GQ8PT2JiorC3d29QOey2xFt/v7+ZGZm5lr0ID09nfj4ePxusQ6yn58fiYmJnDt3zmL7uXPnSExMtDg+e8GFffv25TrPgQMHqFq1as6ItoSEBJKSkujXrx89e/bM+ZOYmMixY8fo2bMnn3zyyR29ZhEpOuXKwZQpxpD+u+6CevVg0CA4e9bsZCIiIiJiS1JTYdo0Y8X7bdtg40ZYskRNNhF7YbeNtlatWuHk5MTSpUsttkdFRZGamkrr1q1ztp06dYrjx49b7BcQEACQ6/jsx38/vlmzZri6uhIZGWmxwMLWrVs5ffq0xb4vvfQSEydOzPXHy8uLSpUqMXHiRHr06FHAVy8ihS17iPO99xqLJezeDWfOGD8gTZgAyckmBxSxU3+/vUBEio9qT6TwZWTAv/9tNNQWLoRFi+CHH+DRR/9vH9WeiO0rYXaAolK9enWeffZZIiMjeeutt3j88cc5duwYy5cvp2HDhrRq1Spn3xEjRnD27FliYmJytjVp0oQmTZoQERFBSkoKtWvXZv/+/axevZq2bdtSu3btnH29vLzo378/n3/+OSNHjiQgIIDExESWLFlCtWrV6Nq1a86+9erVyzPvZ599hru7O82bNy+Cd0NECurjjz/mvffey3lcqxYsXw7/+x+88YaxSun48fDqq5qwVqQw/bP2RKR4qPZECk9WFqxaBaGhkJJi3CURHAzOeQx7Ue2J2D67naMNICMjg2XLlhEVFUVCQgKenp4EBATQt29fSpcunbNfcHBwrkYbGLeZzp8/n/Xr13Px4kUqVKhAu3btCA4OpkSJ3D3KtWvXEhERwYkTJ3B3d6dp06YMGDAgz/nW/ik4OJiyZcsye/bsG+6jOdpErFNWFqxeDWPGwJUrxvwaPXvm/cOTiIiIiDiOrVuNL2Xj4v7vS9mbrMknIiYpzDna7LrRZm/UaBOxbhkZ8J//GD9EZc/p9swz4ORkdjIRERERKU4HDsDYsbB+PYwYYfy56y6zU4nIjWgxBBERK+TiAr17G99Y9u4NL7wATz0FO3eanUxEREREisPJk/Dyy/Dww1ClChw+DG+/rSabiCNRo01EJB9mzZqV733d3CAkBI4cgSZN4MknISgIDh4sunwi9up2ak9ECo9qT+T2/PmncYvogw8a87D9/jt89hlUrHh751Htidg+NdpERPKhQYMGt32Mpye8+y4cOgTly0ODBjBwoLFaqYjkz53UnogUnGpPJH+uXoWpU6F6dfjlF9i0Cf77X6hR487Op9oTsX1qtImI5EPjxo3v+NjKleGLL+DXX+H8eahZE8aNg6SkwssnYq8KUnsicudUeyI3d/06zJljjGD75htYsgS+/x4aNSrYeVV7IrZPjTYRkWLi5wdLl8IPP8CWLeDrCx99BGlpZicTERERkfzIyoIVK6B+fZg8GT74wJiPt00bs5OJiLVQo01EJB9iY2ML7VyPPw4bNsDChTBvntGAmz/fWLVURCwVZu2JSP6p9kRy27wZmjeHV16BQYNg/37o0QOcC/G3atWeiO1To01EJB9WrFhRqOdzcoK2bY25PCZNggkToGFDWL3a+KZURAyFXXsikj+qPZH/s3cvdOoE7dvDM89AfLzRaCtVqvCvpdoTsX1OMTEx+pXORqSkpBAYGEhSUhIeHh5mxxGRQpSWZszjNnEi1KkD4eGgKTpEREREzHP8uPFl6DffGKPY3nwTfHzMTiUiRSE5ORlPT0+ioqJwd3cv0Lk0ok1ExAq4usKwYXDkCLRsCa1bw3PPge4eEBERESleFy/CqFHg7w/XrsG+ffDxx2qyiUj+qNEmImJFPDwgLAwOH4aKFY3bSV95BU6dMjuZiIiIiH376y+YMgWqV4fffzcWr1q40HgsIpJfarSJiORDeHh4sV6vUiWYORN++w2Skoyl40ND4dKlYo0hYrrirj0RMaj2xJFcvw5ffQU1a8KyZbB8Oaxda3zhWdxUeyK2T402EZF86Ny5synXrVkTFi+GH3+EHTuMb1Q/+ABSU02JI1LszKo9EUen2hNHkJVlNNXq1oWpU2H6dOPnrYAA8zKp9kRsnxptIiL54O/vb+r1H3kE1q83JuNdtMgY4TZvHmRkmBpLpMiZXXsijkq1J/buxx+hSRNj9dDXXzfmYQsKMlaGN5NqT8T2qdEmImIjnJzg6afh55+NVUnDwqBBA1i50vhGVkRERERu7rffoEMH6NQJOnY05sV99VUoWdLsZCJiL9RoExHJh23btpkdIYezM/TsaaxI+q9/wUsvwRNPwNatZicTKXzWVHsijkS1J/bm2DHo0wcefxz8/CA+Ht58E9zdzU5mSbUnYvvUaBMRyYc9e/aYHSGXUqVg8GDjB8WnnoJnnoFnn4X9+81OJlJ4rLH2RByBak/sRWIihISAv79xB8CBA/Dhh+DtbXayvKn2RGyfGm0iIvnw6quvmh3hhu66C95+22i43X8/NGpkjHI7ccLsZCIFZ821J2LPVHti61JS4N13wdcX4uJg+3aYPx+qVTM72c2p9kRsnxptIiJ2wscHPvkE9u6Fq1eN2yJGj4aLF81OJiIiIlI8rl2DL76AGjWMeWy/+w5WrYL69c1OJiKOosSdHnj06FF27tzJ4cOHOX36NFeuXMHFxYVy5cpRrlw5qlevzsMPP4yfn19h5hURkVvw9TVWJt29G0JDjcehoTBkCJQubXY6ERERkcKXlQVLlxrzrjk7w8yZxpQaZq8iKiKO57ZGtGVlZbFu3Tr69u3LkCFD2LVrF+XKlaNx48Z06dKFzp0789BDD1GuXDl+//13Ro4cSa9evVixYgUZGRlF9RpERIpcaGio2RFu28MPQ3Q0RETAkiVQsyZ8/TVcv252MpH8s8XaE7EHqj2xJTExxiIHw4fDqFHG6P4uXWyzyabaE7F9TjExMVn52fHMmTNMnjwZHx8fnnvuOfz9/XF2vnmfLisri7i4OJYvX86RI0cYO3Ys1atXL5TgjiglJYXAwECSkpLw8PAwO46IQ0lISKBSpUpmx7hjmZnGt7xjxxqLKEyeDJ072+YPoOJYbL32RGyVak9swa+/wpgxsG2b8d+hQ6FMGbNTFYxqT8QcycnJeHp6EhUVhXsBlyPOV6Pt8OHDzJo1i+HDh1OlSpU7utCZM2eYPn06PXv25KGHHrqjczg6NdpEpKCuXYOvvoKwMKheHcLDoUULs1OJiIiI5N/RozB+PCxfDoMGGU228uXNTiUitqwwG235unV08+bNvPvuu3fcZAO45557mDx5Mr/88guZmZl3fB4REblzJUvCa6/B4cPQrh106AAdOxq3WIiIiIhYs/PnYdgwqF3b+JkmNhamTlWTTUSsS74abX379qVUqVIFvpiLiwv9+vW75S2nIiLWJjo62uwIhapsWeOb4Ph4Y7GERx+Fvn3h+HGzk4lYsrfaE7EVqj2xJleuGKPxfX2N0Ww7d8LcuXD//WYnK3yqPRHbV6CO15kzZ4iIiCA5Obmw8oiIWKVLly6ZHaFIVKgA06fD/v2QkQH+/jByJFy4YHYyEYO91p6ItVPtiTVIT4cZM4wGW3Q0rF4N330HdeuanazoqPZEbF+BGm1z587liy++YNGiRTnbsudi279/f4HDiYhYix49epgdoUg98AAsWABbt8K+fcYPtO+9B3/9ZXYycXT2Xnsi1kq1J2bKzITFi41bRGfMgC+/hM2boXlzs5MVPdWeiO0rUZCDvb29+fjjj6lYsWLOtnvuuYdhw4axcOFCrl69SqNGjQoc8k5lZmaybNkyVq5cSUJCAl5eXgQEBNC3b1/c3NxueXx6ejoLFy5k3bp1XLhwgQoVKtC+fXuCg4NxcXHJtX90dDQREREcP36csmXL0rRpUwYMGICnp2fOPpcvXyY6Oppt27Zx7NgxLl++TMWKFXnsscd48cUXLfYVESluDz0Ea9ZATAy88QZ8+im8/Tb07w8lCvSJISIiInJr69cbP4OcPWvcLtq7t34GERHbUqARbWXLlsXZ2ZkKFSpYbHdycqJXr15s3bq1QOEKasaMGcycOZNq1aoxdOhQWrZsydKlSxk3bhxZWbdcbJWwsDAWLFhAw4YNGTZsGA0aNGD27Nl8+OGHufaNiIhgypQplC1bliFDhhAYGMgPP/xASEgIqampOfsdOHCAzz//HCcnJ7p27crgwYOpX78+kZGRvPzyy1y8eLFQ3wMRKRx/r2NH0KoVbN8On3wC06YZt2gsXw75+KdTpFA5Wu2JWAvVnhS33bvh6achKAiCg+HQIcf8ok+1J2L7CtRo69ixI1OmTGHQoEHMmTOH3bt3k56envP89evXCxzwTh09epTIyEhatGhBWFgYgYGBDBo0iNdee41du3axcePGmx6/fft2tmzZQlBQEKNHj6ZDhw6MHj2aoKAgVq9ezYEDB3L2TUpKYs6cOfj7+zNt2jQ6duxI//79GT9+PEeOHCEyMjJn3/vvv5/58+czdepUevbsSWBgICNGjCAkJITExEQWL15cVG+JiBTA2LFjzY5Q7JycoFs3Y0XS11+HwYOhSRO4xT+fIoXKEWtPxBqo9qS4xMdDz57GbaENG8KRIzBqFJQubXYyc6j2RGxfgRptH3zwAXXq1KFChQqsWbOGkSNH0rFjRwYOHMiwYcMsmm7FbcOGDWRlZdGtWzeL7YGBgbi5ubF+/fqbHp/9/D+Pz368bt26nG2bN28mNTWVLl26WNxS2rRpUypXrmxxrUqVKlGlSpVc13vyyScBo0EoItZn8uTJZkcwTcmS8OqrxjfLnTpB587Qvj3s2WN2MnEEjlx7ImZS7UlRO3vW+BKvbl1wd4eDByE8HMqVMzuZuVR7IravQANxK1asyGuvvZbz+Pjx4+zatYtdu3Zx5swZhg8fXtB8dyw2NhZnZ2f8/f0ttpcqVQpfX19iY2NvenxcXBze3t74+PhYbPfx8cHb25u4uDiLawHUqVMn13lq1apFTEwMaWlpuLq63vB658+fB8DLy+umuUTEHPmZ19HeubvD2LFG023yZGjc2BjxNnEiVKtmdjqxV6o9EXOo9qSoXL4MH3wAH34IrVsbt4zWqmV2Kuuh2hOxfQUa0fbPec7uv/9+unTpwqRJk5gwYQJz584tULiCuHDhAp6enpQqVSrXc97e3ly8eJGMjIwbHp+YmIi3t3eez3l7e5OYmGhxreztee2bmZmZs8+NzJ8/H4DWrVvfdD8REbOVL2/M2xYbCy4uxg/Hr78Of/tnUURERMRCerqxyJKvL2zYANHREBmpJpuI2J8CNdratGnDp59+SlpamsX2o0ePEh8fj5OTU4HCFURaWholS5bM87ns5tvNbm1NS0vLs0mXffzfJ6nM/nte18s+xz/fo79btmwZGzZsoE2bNjz22GM33E9EzKP5E3OrWhXmzYMdO4zbSn19YdIkSEkxO5nYE9WeiDlUe1JYMjNh0SLw94dZs2DOHPjpJ2ja1Oxk1km1J2L7CtRoe/DBB+natStffPEF586dy9n+/fffM2nSJJKTkwsc8E65urpy7dq1PJ/LbrDdqJGWffyNGnHp6ekWQ3qz/57X9bLPcaPbRtetW8fMmTN5+OGHGTly5A3z/F1QUBAhISGEhISwcuXKXCubLl68mOjo6JzHCQkJhIaGWpxj1qxZbNu2LedxbGws4eHhFvuEh4db3GK7bds2Zs2aZbFPaGgoCQkJOY+jo6MtPhxSU1OVT/nsIt/3339v1fnMfP8WLQolKgpWroRVq6By5VmMHr2N7H8Szc5n7e+f8t08X5kyZaw6n7W/f8qnfHeaL3s6E2vNl035rDffmDGhREdDo0YwZgw88cQsZs3aRmCgseCS2fms9f3z8vKy6nxg3e+f8inf7eQbOnRoTm+lMBcicYqJicm69W63Jz09nW3bttGgQQM8PT0L+/T5MmrUKHbv3s2aNWtyNdQGDx7MmTNnWLZs2Q2P7927N1evXiUiIiLXc0FBQfj4+DBjxgwApk2bRlRUFAsXLsy10MGkSZOIiYlh9erVuZptGzduZOLEidStW5fw8PBb3o+fkpJCYGAgSUlJeHh43HRfEREzZGXBt98ac7llZMC77xrzuJk4wFlERESK2c6dRnPt11+NnwkGDQJNPSYi1iw5ORlPT0+ioqJwd3cv0LkKNKLtRkqVKsUTTzxhWpMNwN/fn8zMzFyLHqSnpxMfH4+fn99Nj/fz8yMxMdFipB7AuXPnSExMtDg+e8GFffv25TrPgQMHqFq1aq4m2+bNm5k0aRK1atViypQpmvRSROyCkxN06QK//w6jR8Pw4fDYY8ZcLCIiImLfDh2C7t3hySfh8cchPh5GjFCTTUQcyy0bbRkZGaxdu7bQLrh06dJCO9fNtGrVCicnp1zXi4qKIjU11WLRgVOnTnH8+HGL/QICAoDcebMf//34Zs2a4erqSmRkpMUCC1u3buX06dO5FjjYtm0bYWFh1KxZk/DwcEqXLl2AVyoixeHvQ5zl1kqUgJdfNn7g7tYNunaFZ56BX34xO5nYGtWeiDlUe3I7zpyBgQOhfn0oV874/J88Gf7/HchyG1R7Irbvlo02FxcXSpcuzWeffXbTxQNu5cqVK0yYMIH777//js9xO6pXr86zzz7Lpk2beOutt1i1ahUzZ85k5syZNGzYkFatWuXsO2LECPr06WNxfJMmTWjSpAkRERFMnTqVVatWMXXqVCIiImjbti21a9fO2dfLy4v+/fsTGxvLyJEjWblyJXPnzmXixIlUq1aNrl275uwbFxfHhAkTcHZ2pk2bNmzdupV169bl/Nm8eXPRvzkicts+/vhjsyPYpDJl4I034MgRaNAAmjWDF14wHovkh2pPxByqPcmP5GQYPx5q1oTz541bRWfNgsqVzU5mu1R7IrYv33O0/fLLL8ycOZPmzZvTuXPnnAlSb+XChQssXbqUHTt2MGLECIsGVVHLyMhg2bJlREVFkZCQgKenJwEBAfTt29diFFlwcDBnz54lJibG4vj09HTmz5/P+vXruXjxIhUqVKBdu3YEBwdTokSJXNdbu3YtERERnDhxAnd3d5o2bcqAAQMs3qu1a9fmmpTv7ypWrMg333yT53Oao01EbN2JEzBhAvz3vzBgAIwbBz4+ZqcSERGR25GWBp9/bqw2XrcuTJkCjRubnUpE5M4V5hxtt7UYQkpKCv/5z39YtWoVlSpVok6dOlSvXp2yZctStmxZMjMzuXz5MsnJyRw7dow9e/bw559/8uyzz9KjRw/dIllAarSJiL3Yt8+YHHnDBhg5EkJC4K67zE4lIiIiN5ORAYsWGaPYPDwgPBzattWiRyJi+0xrtF25coWyZcuSnp7Or7/+yvbt24mNjeXPP//kzz//xMnJiXLlylGuXDnq1KnDY489Rv369SlZsmSBQopBjTYRsTebNxurkh06BG+9ZYxy+8dC0SIiImKyrCxYu9b4zE5KgokT4fnnwcXF7GQiIoWjMBttue9/vIGPPvqI1atXM2XKFBo1asRjjz3GY489VqCLi4jYilmzZvHqq6+aHcPuNG8OmzbBypUQGgoffgjvvmusWOZcJOtii61R7YmYQ7Un2bZvN+Zb3bvXmPJh4EBwdTU7lf1S7YnYvnz/GuPm5sZTTz1F2bJlc7ZNnz69KDKJiFidBg0amB3Bbjk5QadO8Ntvxg/wo0bBI4/AunVmJxNroNoTMYdqT+Li4Lnn4KmnoEULiI+H4cPVZCtqqj0R25fvRtvx48d56KGHLG5Z1NLDIuIoGmuG3yLn4gL9+sHBg8btKD16QJs2sGuX2cnETKo9EXOo9hzX6dPw6qvw0ENQsaIxvcPEieDpaXYyx6DaE7F9+W60DR48mAULFvDiiy/SpUsXQkNDSUhIYPPmzWq4iYhIoSld2lggIT4eGjWCJ56A4GA4fNjsZCIiIvbr0iVjoaKaNeHPP2HPHpg5E+65x+xkIiK25bYWQ7h+/To7duxgz549xMbG8vvvvxsncXKiTJky1KhRgxo1auDr65vzx1mT7BQaLYYgYp7Y2Fj8/f3NjuGQTp6Ed96BhQuhf39j0YSKFc1OJcVFtSdiDtWe40hNhRkzYPJkaNDAWEn00UfNTuW4VHsi5jBlMQSAEiVK0LRpU5o2bQrAG2+8wfDhwzl06BDx8fEcPnyYTZs2sWzZspzmW6NGjWjZsiVPPPEELlqWRkRs1IoVK/RDj0nuvRe++gpCQuDNN8HXF0aMMP7oOwf7p9oTMYdqz/5lZBhfYo0fD+XLw6JF8PTTxtypYh7Vnojtu60Rbf/03nvvERoammv75cuXOXToEIcOHeLgwYPExcVRokQJwsLCuP/++wsU2JFpRJuICPzvf8bqZwcOGL8cvPqqJmYWERHJr6wsWLXKWO07JQUmTTKmaNCNSCLiyApzRFuBGm234+jRoyxcuJDx48cXx+XskhptIiKGrCxYvRrGjIErV4xfEnr21C8JIiIiN7N1q/FlVVzc/31ZVaqU2alERMxXmI22YvmVZNSoUXz11VcFDisiIgLGbS0dOsCvvxrzt40dCw8/DGvXGk04ERER+T8HDkCXLvDMM/DUU8aCQ0OGqMkmIlIUiqXR9vDDD5OQkECdOnWK43IiIoUuPDzc7AiSBxcX6N3b+Ga+d2944QXjF4idO81OJoVFtSdiDtWefTh5El5+2fgyqkoVYwXvt9+Gu+4yO5nciGpPxPYVS6OtZ8+ezJkzh2eeeaY4LiciUug6d+5sdgS5CTc3Y7GEI0egSRN48kkICoKDB81OJgWl2hMxh2rPtv35p3GL6IMPGvOw/f47fPaZVu22Bao9Edun2WxERPJBqz/ZBk9PePddOHTIWEGtQQMYOBDOnDE7mdwp1Z6IOVR7tunqVZg6FapXh19+gU2b4L//hRo1zE4m+aXaE7F9arSJiIjdqVwZvvjCmMMtMRFq1oRx4yApyexkIiIihe/6dZgzxxjBtngxRETA999Do0ZmJxMRcTxqtImI5MO2bdvMjiB3wM/P+GXjhx9gyxbw9YWPPoK0NLOTSX6p9kTModqzDVlZsGIF1K8PkyfDBx/Ajh3QurXZyeROqfZEbJ8abSIi+bBnzx6zI0gBPP44bNgACxfCvHlGA27+fMjIMDuZ3IpqT8Qcqj3rt3kzNG8Or7wCgwfD/v3Qowc46zc8m6baE7F9TjExMVlmh5D8SUlJITAwkKSkJDw8PMyOIyJikzIzYdEiGD/eWHVtyhRo1w6cnMxOJiIicmt798LYsbBxI4wcaSwGVLas2alERGxbcnIynp6eREVF4e7uXqBz6fsOERFxKM7O8OKLEBsLL70EvXsbq5TqTg0REbFmx49Dv37w6KPwwANw+DC89ZaabCIi1kaNNhERcUiurjBsGBw5Ai1bGvPZPPec0YATERGxFhcvwqhR4O8P167Bvn3w8cfg42N2MhERyYsabSIi+RAaGmp2BCkiHh4QFmaMDKhYERo2NOa7OXXK7GQCqj0Rs6j2zPfXX8b0BtWrw++/G4v6LFxoPBb7pdoTsX1qtImI5MOwYcPMjiBFrFIlmDkTfvsNkpLgwQchNBQuXTI7mWNT7YmYQ7VnnuvX4auvoGZNWL7c+LN2rfFFkNg/1Z6I7VOjTUQkHypVqmR2BCkmNWvC4sXw44+wY4cxcuCDDyA11exkjkm1J2IO1V7xy8oymmp168LUqcbtodu3Q0CA2cmkOKn2RGyfGm0iIiJ5eOQRWL8evvnGWKX0wQdh3jzIyDA7mYiI2Jsff4QmTWDQIHj9dWMetm7dtCK2iIgtUqNNRCQfoqOjzY4gJnBygqefhp9/hvBwYy63Bg1g5Upj5IEUPdWeiDlUe8Xjt9+gQwfo1Ak6djTmC331VShZ0uxkYhbVnojtU6NNRCQfLmmiLofm7Aw9exorkv7rX/DSS/DEE7B1q9nJ7J9qT8Qcqr2idewY9OkDjz8Ofn4QHw9vvgnu7mYnE7Op9kRsnxptIiL50KNHD7MjiBUoVQoGDzZ+IXrqKXjmGXj2Wdi/3+xk9ku1J2IO1V7RSEyEkBDw9zdGRh84AB9+CN7eZicTa6HaE7F9JcwOUJQyMzNZtmwZK1euJCEhAS8vLwICAujbty9ubm63PD49PZ2FCxeybt06Lly4QIUKFWjfvj3BwcG4uLjk2j86OpqIiAiOHz9O2bJladq0KQMGDMDT0zPXvvv37+frr7/mwIEDODs7U7duXQYMGICvr2+hvHYRESk6d90Fb78Nr70GkyZBo0bw/PPGtvvuMzudiIhYm5QUmD4d3n8fmjc3FjmoX9/sVCIiUhTsekTbjBkzmDlzJtWqVWPo0KG0bNmSpUuXMm7cOLLyMblOWFgYCxYsoGHDhgwbNowGDRowe/ZsPvzww1z7RkREMGXKFMqWLcuQIUMIDAzkhx9+ICQkhNR/LFW3f/9+hg8fTkJCAv369aNPnz6cOHGCoUOH8scffxTWyxeRQvTPOhYB8PGBTz6BvXvh6lXj9p/Ro+HiRbOT2Q/Vnog5VHuF49o1+OILqFHDmN/zu+9g1So12eTGVHsits9uG21Hjx4lMjKSFi1aEBYWRmBgIIMGDeK1115j165dbNy48abHb9++nS1bthAUFMTo0aPp0KEDo0ePJigoiNWrV3PgwIGcfZOSkpgzZw7+/v5MmzaNjh070r9/f8aPH8+RI0eIjIy0OPenn35KyZIlmT59OkFBQQQFBTF9+nQAvvjii8J+K0SkEIwdO9bsCGLFfH2NlUk3b4Y9e4zH779vNN+kYFR7IuZQ7RVMVhZERECdOsZItpkz4X//g5YtzU4m1k61J2L77LbRtmHDBrKysujWrZvF9sDAQNzc3Fi/fv1Nj89+/p/HZz9et25dzrbNmzeTmppKly5dLG4pbdq0KZUrV7a41qlTp4iNjaVly5ZUqFAhZ3uFChVo2bIlO3fu1ASYIlZo8uTJZkcQG/DwwxAdbfxytWQJ1KwJX38N16+bncx2qfZEzKHau3MxMcYiB8OHw6hRxqjnLl2MlaxFbkW1J2L77LbRFhsbi7OzM/7+/hbbS5Uqha+vL7GxsTc9Pi4uDm9vb3x8fCy2+/j44O3tTVxcnMW1AOrUqZPrPLVq1eKPP/4gLS3tlvvWrl2bzMxMDh48mI9XKCLFKT/zOopka90aduwwJrh+7z3jFqFvvzVGOMjtUe2JmEO1d/t+/RXatjWaal27wqFDMGAAlLDrWbGlsKn2RGyf3TbaLly4gKenJ6VKlcr1nLe3NxcvXiQjI+OGxycmJuJ9g+V/vL29SUxMtLhW9va89s3MzMzZ51b7Zl9bRERsm7MzdO9urCg3eDD861/QrBls2mR2MhERKUxHj8KLL0LTplCvnrEy9ZgxUKaM2clERMQMdttoS0tLo2TJknk+l918S09Pv+nxeTXpso//+ySV2X/P63rZ58ge0XY7+4qI9Vi8eLHZEcRGlSxprE56+DC0bw8dOkDHjsatRHJrqj0Rc6j2bu38eRg2DGrXNv6tj42FqVOhfHmzk4ktU+2J2D67bbS5urpy7dq1PJ/LbrDdqJGWffyNGnHp6ekWQ3qz/57X9bLP4erqetv73khQUBAhISGEhISwcuXKXCubLl68mOjo6JzHCQkJhIaGWpxj1qxZbNu2LedxbGws4eHhFvuEh4db3GK7bds2Zs2aZbFPaGgoCQkJOY+jo6MtPhxSU1OVT/nsIt/3339v1fms/f1TPihbFmrWXMxXX0Xj6wuPPgo9eiQwaJB15APrfP/K/G1IiDXms/b3T/mU707zeXl5WXW+bGbku3IFwsKgWrVY1q0LZ+dOmDsX7r/fOvJls9b3T/luns/Ly8uq84F1v3/Kp3y3k2/o0KE5vZXCXIjEKSYmxi5njBk1ahS7d+9mzZo1uRpqgwcP5syZMyxbtuyGx/fu3ZurV68SERGR67mgoCB8fHyYMWMGANOmTSMqKoqFCxdSpUoVi30nTZpETEwMq1evxtXVlR9++IFJkyYxcuRIOnToYLFvVFQU06ZNIzw8nMceeyzXdVNSUggMDCQpKQkPD498vxciImJ9jh6Ft96CZcuMEW+hoRoFISJizdLT4auvjCZbjRoQHg7Nm5udSkRECkNycjKenp5ERUXh7u5eoHPZ7Yg2f39/MjMzcy16kJ6eTnx8PH5+fjc93s/Pj8TERM6dO2ex/dy5cyQmJlocn73gwr59+3Kd58CBA1StWjVnlNrN9t2/fz/Ozs48+OCD+XiFIiJiyx54ABYsgK1bYd8+8PU1Fk746y+zk4mIyN9lZsLixcYtojNmwJdfwubNarKJiEje7LbR1qpVK5ycnFi6dKnF9qioKFJTU2ndunXOtlOnTnH8+HGL/QICAgByHZ/9+O/HN2vWDFdXVyIjIy0WWNi6dSunT5+22LdKlSr4+fnx448/Wix6kJiYyI8//kijRo1yhuqLiPX4+xBnkcL00EOwZg1ERhp/atQwfom7ft3sZNZBtSdiDtWeYf1641b/ESNg7Fj47Tfo3BmcnMxOJvZKtSdi++y20Va9enWeffZZNm3axFtvvcWqVauYOXMmM2fOpGHDhrRq1Spn3xEjRtCnTx+L45s0aUKTJk2IiIhg6tSprFq1iqlTpxIREUHbtm2pXbt2zr5eXl7079+f2NhYRo4cycqVK5k7dy4TJ06kWrVqdO3a1eLcgwcP5tq1awwbNoylS5eydOlShg0bRlZWFgMHDizaN0ZE7sjHH39sdgSxc61awfbt8MknMG0a1K0Ly5dDll1O8JB/qj0Rczh67e3eDU8/DUFBEBwMhw5B//5QooTZycTeOXrtidgDu52jDSAjI4Nly5YRFRVFQkICnp6eBAQE0LdvX0qXLp2zX3BwMGfPniUmJsbi+PT0dObPn8/69eu5ePEiFSpUoF27dgQHB1Mij0/ZtWvXEhERwYkTJ3B3d6dp06YMGDAgzxFqe/fuZc6cORw4cABnZ2fq1q3LgAEDqFGjxg1fj+ZoExFxDNeuGRNrv/22Mbn2lCnw5JNmpxIRsX/x8TBuHKxYAUOGwJgxUK6c2alERKSoFeYcbXbdaLM3arSJiDiWlBT4+GNjwu1mzYw53Bo0MDuViIj9OXsWJk6Er7+GF14wvui4916zU4mISHHRYggiIiIOwN3dmBPoyBGoVQsaN4ZeveCPP8xOJiJiHy5fhgkTjPkxT50ybhmdPVtNNhERuXNqtImI5MOsWbPMjiAOrHx5Y9622FhwcTGabq+/Dn9bU8duqfZEzGHvtZeeDp9+aqz4vGEDREcbC9LUqmV2MnF09l57Io5AjTYRkXxooPv1xApUrQrz5sGOHcbE3L6+MGmScYupvVLtiZjDXmsvMxMWLQJ/f5g1C+bMgZ9+gqZNzU4mYrDX2hNxJGq0iYjkQ+PGjc2OIJKjXj2IioKVK2HVKuOWpy++MBZRsDeqPRFz2FvtZWUZo9YaNTIWOJgwAfbsgcBAcHIyO53I/7G32hNxRGq0iYiI2KgnnoCtW+Hzz41FE+rUgYgI4xdKEREx7NwJrVvD88/Diy/CwYPQp49xK76IiEhhU6NNRCQfYmNjzY4gkicnJ3j2Wfj9dxg9GoYPh8ceM+YcsgeqPRFz2EPtHToE3bvDk0/C449DfDyMGAFubmYnE7kxe6g9EUenRpuISD6sWLHC7AgiN1WiBLz8svGLZbdu0LUrPPMM/PKL2ckKRrUnYg5brr0zZ2DgQKhfH8qVM/5dnDwZvLzMTiZya7ZceyJicIqJidENJjYiJSWFwMBAkpKS8PDwMDuOiIhYsYsXYcoU+Owz6NIFJk6E6tXNTiUiUnSSk2HqVPjoI2jbFt59F/z8zE4lIiK2IDk5GU9PT6KionB3dy/QuTSiTURExA7dfTe8/z7ExYGrqzF/29ChcO6c2clERApXWhpMn258mbBpE6xfD0uXqskmIiLmUKNNRETEjt13H8yZAz//DMeOga8vvPMOXL5sdjIRkYLJyIAFC4yG2pw5xt9jYkCLNoqIiJnUaBMRyYfw8HCzI4gUSJ06sGIFrF0L69ZBjRowYwakp5ud7OZUeyLmsObay8qCNWvg4Ydh/Hjj1vhffoF27YwFYkRsmTXXnojkjxptIiL50LlzZ7MjiBSKZs2MW6u++gpmzoRateCbbyAz0+xkeVPtiZjDWmtv+3Zo1Qp69YJ+/Yzb43v1AhcXs5OJFA5rrT0RyT812kRE8sHf39/sCCKFxskJOnWC336DceNg1Ch45BFjpJu1Ue2JmMPaai8uDp57Dp56Clq0gPh4GD7cmINSxJ5YW+2JyO1To01ERMRBubgYI0IOHoTnn4cePaBNG9i1y+xkIiKG06fh1VfhoYegYkU4dMi4VdTT0+xkIiIieVOjTUQkH7Zt22Z2BJEiU7o0jBxpjBBp1AieeAKCg+HwYbOTqfZEzGJ27V26BGPHQs2a8OefsGePcbv7PfeYGkukyJldeyJScGq0iYjkw549e8yOIFLkypWDKVOMW7Tuugvq1YNBg+DsWfMyqfZEzGFW7aWmwrRpxgrJ27bBxo2wZAk8+KApcUSKnT73RGyfU0xMTJbZISR/UlJSCAwMJCkpCQ8PD7PjiIiInTtwAN58E77/HkaMMP7o40dEikJGBixcaKwiWr680fR/+mmtIioiIsUjOTkZT09PoqKicHd3L9C5NKJNRERE8lSrFixfbiySEBNjjDD55BNISzM7mYjYi6wsiIoy5mB75x0IDzfmiXzmGTXZRETENqnRJiIiIjfVpAn8+CPMmwdffQX+/vCf/0BmptnJRMSWbd1qzAnZvz+88grExkLPnuCs31BERMSG6WNMRCQfQkNDzY4gYionJ+jQAX791Rh1MnYsPPwwrF1rjEgpKqo9EXMUZe0dOABduhij1p56yliIZcgQKFWqyC4pYjP0uSdi+9RoExHJh2HDhpkdQcQquLhA797Gggm9e8MLLxi/KO/cWTTXU+2JmKMoau/kSXj5ZaNJX6WKsbLx228bi6+IiEGfeyK2T402EZF8qFSpktkRRKyKmxuEhMCRI8atpU8+CUFBcPBg4V5HtSdijsKsvT//hDfeMFYOTUmB33+Hzz6DihUL7RIidkOfeyK2T402ERERuWOenvDuu3DokLFSYIMGMHAgnDljdjIRMdvVqzB1KlSvDr/8Aps2wX//CzVqmJ1MRESk6KjRJiKSD9HR0WZHELFqlSvDF18Yc7glJkLNmjBuHCQlFey8qj0RcxSk9q5fhzlzjBFsixdDRAR8/z00alSIAUXslD73RGyfGm0iIvlw6dIlsyOI2AQ/P+OX6h9+gC1bwNcXPvoI0tLu7HyqPRFz3EntZWXBihVQvz5MngwffAA7dkDr1oWfT8Re6XNPxPY5xcTEFOFaYVKYUlJSCAwMJCkpCQ8PD7PjiIiI3FRWFkRHG3MzJSVBWJixeIKLi9nJRKSwbd5s1PrhwzBhgrHogVYRFRERW5GcnIynpydRUVG4u7sX6FwlCimTVUpPT2fhwoWsW7eOCxcuUKFCBdq3b09wcDAu+fwp/8qVK8yZM4effvqJ5ORkqlSpQpcuXejUqVOufTMzM1m2bBkrV64kISEBLy8vAgIC6Nu3L25ubjn7nT9/nujoaHbs2MHJkye5evUqlStX5oknnqB79+6ULl260N4DERERszg5Qdu28PTTsGgRjB9vjHCZMgXatTOeFxHbtncvjB0LGzfCyJFGc71sWbNTiYiImMeubx0NCwtjwYIFNGzYkGHDhtGgQQNmz57Nhx9+mK/jr127xqhRo/juu+9o1aoVQ4cO5b777uOjjz5iwYIFufafMWMGM2fOpFq1agwdOpSWLVuydOlSxo0bR1bW/w0c/N///sf8+fPx9PSkZ8+eDBw4kGrVqvHvf/+bQYMGkZqaWmjvgYgUDtWlyJ1zdoYXX4TYWHjpJejd21ildNu2Wx+r2hMxx61q7/hx6NcPHn0UHnjAGMn21ltqsokUlD73RGyf3Tbatm/fzpYtWwgKCmL06NF06NCB0aNHExQUxOrVqzlw4MAtz7F69WpiY2N57bXXGDRoEIGBgYSFhdGiRQsWLFjA+fPnc/Y9evQokZGRtGjRgrCwMAIDAxk0aBCvvfYau3btYuPGjTn71qtXj2+++YaJEycSFBREp06dGD9+PC+++CJHjx5lzZo1RfGWiEgBjB071uwIIjbP1RWGDYMjR6BlS2PepueeMxpwN6LaEzHHjWrv4kUYNQr8/eHaNdi3Dz7+GHx8ijmgiJ3S556I7bPbRtv69esB6Natm8X27Mfr1q3L1znc3NwIDAzMdY5r164RExOTs23Dhg1kZWXlul5gYCBubm45eQAeeOAB7r777lzXe/LJJwGjaSci1mXy5MlmRxCxGx4exnxthw9DpUrQsCG88gqcOpV7X9WeiDn+WXt//WXc9l29unG76NatsHCh8VhECo8+90Rsn9022uLi4vD29sbnH1+v+fj44O3tTVxc3E2Pz8zM5NChQ9SoUYNS/5jJ1d/fH2dnZ4tzxMbG4uzsjL+/v8W+pUqVwtfXl9ibfV3//2WPkPPy8rrlviJSvP4+z6KIFI5KlWDGDPjtN2OxhAcfhNBQ+PuCa6o9EXNk19716/DVV1CzJixfDpGRsGYNPPSQuflE7JU+90Rsn9022hITE/H29s7zOW9vbxITE296/OXLl0lLS8vzHKVKlcLDw8PiHBcuXMDT0zNXUy77ehcvXiQjI+OG18vMzGThwoU4OzsTEBBw02wiIiL2pGZNWLwYfvwRduwwRsh88AFomhoR82RlGY21unVh6lTj9tDt26FVK7OTiYiIWDerX3U0NTWVn3/+Od/7N2/eHIC0tLQ8m15gNMpuNclkWloaACVLlszXOdLS0m66LxiroN5oRdHPP/+cvXv30qtXL6pVq3bTbCJS/BYvXkyPHj3MjiFi1x55BNavh3XrYMwY+OQT6NBhMZ991oN8LhYuIoXgxx/h5ZcXc+VKD95+G/r3hxv8mCsihUw/c4rYPqsf0Xbp0iXGjx+f7z/ZXF1dSU9Pz/Oc6enptxyS6+rqChgrj+bnHK6urjfdF7hh4+8///kPS5cupU2bNvTr1++muQCCgoIICQkhJCSElStXEhISYtH0W7x4MdHR0TmPExISCA0NtTjHrFmz2Pa35d5iY2MJDw+32Cc8PNziltdt27Yxa9Ysi31CQ0NJSEjIeRwdHc3ixYtzHqempiqf8tlFvu+//96q81n7+6d8ypfffE5O8PTTsHlzKnXrhrB8eRkaNICVK+Gbb8zPl81a3z/lU76C5PvtN/D3D6dDh1iaNfPi8GFo0GAbc+ZYRz6w7vdP+ZSvMPJ5eXlZdT6w7vdP+ZTvdvINHTo0p7dSmAuROMXExGQV2tmKwPXr1zl9+nS+97///vsB6N27N1evXiUiIiLXPkFBQfj4+DBjxowbniczM5P27dtTs2ZNPv30U4vn0tPTadeuHU8++WROc2/UqFHs3r2bNWvW5GqoDR48mDNnzrBs2bJc11myZAmff/45Tz75JOPGjcPlJl/Zp6SkEBgYSFJSEh4eHjd+E0REROxEejp8+aWxeIKfH4SHQ9OmZqcSsS/HjsFbb8GSJTBwIIwdCzeYgUVERMQuJScn4+npSVRUFO7u7gU6l9WPaCtRogT3339/vv9k8/PzIzExkXPnzlmc79y5cyQmJuLn53fT6zo7O1OzZk0OHz6ca2RcbGwsmZmZFufw9/cnMzMz16IH6enpxMfH53m9yMhIPv/8c1q0aHHLJpuIiIgjKlUKBg+G+Hho3RqeeQaefRb27zc7mYjtS0yEkBDIXsvrwAH48EM12URERArC6httdyp7QYGlS5dabM9+3Lp1a4vtx48f59SpU7nOkZqaSlRUVK5zlChRgpYtW+Zsa9WqFU5OTrmuFxUVRWpqaq7rRUVF8emnn9KkSRPeeustNdlErNzfhziLSPHJrr277oIJE4yG2/33Q6NG8NJLcOKEyQFFbFBKCrz7Lvj6wsGDxiIH//43/H2aYH3uiZhDtSdi+6x+MYQ71aRJE5o0aUJERAQpKSnUrl2b/fv3s3r1atq2bUvt2rUt9u/Tpw8VK1bkm2++ydkWGBjI2rVrmTlzJgkJCVStWpXt27ezadMm+vbtS8WKFXP2rV69Os8++yyRkZG89dZbPP744xw7dozly5fTsGFDWv1tiaYtW7bw4Ycfctddd9GsWTNiYmIsspQrV45HHnmkiN4ZEbkTH3/8Me+9957ZMUQczj9rz8fHWCRh2DAYP964nXTwYGPxhLvvNjGoiA24dg2+/hreeQeqVoXvvoO/fW9sQZ97IuZQ7YnYPqufo60g0tPTmT9/PuvXr+fixYtUqFCBdu3aERwcTIkSlj3GVq1a5Wq0AVy5coXZs2ezadMmLl++TOXKlenSpQudO3fOdb2MjAyWLVtGVFQUCQkJeHp6EhAQQN++fS1WG503bx7//ve/b5i7QYMGTJ8+Pdd2zdEmIiJiafduCA2FHTuM/w4ZAjdY4FvEYWVlwdKl8Oab4OwM771n3ILt5GR2MhEREetQmHO02XWjzd6o0SYiIpK39euNUW0JCcZonT59oITdjtsXyb+YGHjjDTh1Ct5+G/r1U22IiIj8k0MthiAiIiJyK61bG6PaPvwQpkyB+vXh22+NkTwijujXX6FtW+jSBbp2hUOHYMAANdlERESKmhptIiL5MGvWLLMjiDik26k9Z2fo3t1YkXTIEPjXv6BZM9i0qQgDiliZo0fhxRehaVOoV89YQGTMGChT5vbOo889EXOo9kRsnxptIiL50KBBA7MjiDikO6m9kiVh4EA4fBjat4cOHaBjR9i7twgCiliJ8+eNRUJq14ZSpSA2FqZOhfLl7+x8+twTMYdqT8T2qdEmIpIPjRs3NjuCiEMqSO2VLQvjxhkjenx94dFHoW9fOH688PKJmO3KFQgLM/4fP3oUdu6EOXPg/vsLdl597omYQ7UnYvvUaBMRERG7VqECTJ9u3FKakQH+/jByJFy4YHYykTuXng4zZhgNtuhoWL0avvsO6tY1O5mIiIhjU6NNRCQfYmNjzY4g4pAKs/YeeAAWLICtW2HfPqNB8d578NdfhXYJkSKXmQmLFxu3iM6YAV9+CZs3Q/PmhXsdfe6JmEO1J2L71GgTEcmHFStWmB1BxCEVRe099BCsWQORkcbKpDVqGM2K69cL/VIihWr9euMW6BEjYOxY+O036NwZnJwK/1r63BMxh2pPxPY5xcTEaOF7G5GSkkJgYCBJSUl4eHiYHUdERMTmZWXB8uVG08LJCSZPhi5diqZxIXKndu82Vg7dudP4f3XwYChd2uxUIiIi9iM5ORlPT0+ioqJwd3cv0Lk0ok1EREQclpMTPPecsSJpSIjRwGjSBDZuNDuZiLGQR8+exm2hDz8MR47AqFFqsomIiFgzNdpERETE4ZUsCa+8AocOQadOxu147dvDnj1mJxNHdPas0fStWxfc3eHgQZgyBcqVMzuZiIiI3IoabSIi+RAeHm52BBGHVNy15+5u3Jp35AjUqgWNG0OvXvDHH8UaQxzU5cswYYIxb+CpU8Yto7Nnw733Fn8Wfe6JmEO1J2L71GgTEcmHzp07mx1BxCGZVXvly8O0aRAbCy4uRtPt9dchMdGUOGLn0tPh00+NlXA3bIDoaGOxjlq1zMukzz0Rc6j2RGyfGm0iIvng7+9vdgQRh2R27VWtCvPmwY4dxm2lvr4waRKkpJgaS+xEZiYsWgT+/jBrFsyZAz/9BE2bmp3M/NoTcVSqPRHbp0abiIiIyC3UqwdRUbByJaxaZdza98UXcO2a2cnEFmVlGaPWGjUyVhOdMMGYDzAwUCveioiI2Do12kRE8mHbtm1mRxBxSNZWe088AVu3wuefw8cfQ506EBFhNE5E8mPnTmjdGp5/3pj/7+BB6NPHuEXZmlhb7Yk4CtWeiO1To01EJB/2aOlBEVNYY+05OcGzz8Lvv8Po0TB8ODz2mDG3lsiNHDoE3bvDk0/C449DfDyEhICbm9nJ8maNtSfiCFR7IrbPKSYmRt/B2oiUlBQCAwNJSkrCw8PD7DgiIiIC/PWXMZH9e+8ZDZQpU6BhQ7NTibU4cwbCwoy5/nr3Nm4TrVzZ7FQiIiLyd8nJyXh6ehIVFYW7u3uBzqURbSIiIiIFUKYMvPEGHDkCDRpAs2bwwgvGY3FcyckwfjzUrAnnz8OvvxoLHqjJJiIiYt/UaBMREREpBHffDe+/D3Fx4OpqzN82dCicO2d2MilOaWkwfTpUrw6bNsH69bB0Kfj5mZ1MREREioMabSIi+RAaGmp2BBGHZIu1d999MGcO/PwzHDsGvr7wzjtw+bLZyaQoZWTAggVGQ23uXOPvMTHQuLHZye6MLdaeiD1Q7YnYPjXaRETyYdiwYWZHEHFItlx7derAihWwdi2sWwc1asCMGZCebnYyKUxZWbBmDTz8sHGr6KRJ8Msv0K6dsXCGrbLl2hOxZao9EdunRpuISD5UqlTJ7AgiDskeaq9ZM+MWwq++gpkzoVYt+OYbyMw0O5kU1Pbt0KoV9OoF/foZtw2/+CI428FP2PZQeyK2SLUnYvvs4McAEREREevm5ASdOsFvv8G4cTBqFDzyiDHSTWxPXBw89xw89RS0aAHx8TB8uDE3n4iIiDg2NdpERPIhOjra7AgiDsneas/FxRj5dPAgPP889OgBbdrArl1mJ5P8OH0aXn0VHnoIKlaEQ4dg4kTw9DQ7WeGzt9oTsRWqPRHbp0abiEg+XLp0yewIIg7JXmuvdGkYOdIYCdWoETzxBAQHw+HDZieTvFy6BGPHQs2a8OefsGePcRvwPfeYnazo2GvtiVg71Z6I7VOjTUQkH3r06GF2BBGHZO+1V64cTJli3Ip4111Qrx4MGgRnz5qdTABSU2HaNGPl2O3bYeNGWLIEHnzQ7GRFz95rT8RaqfZEbF8JswMUpfT0dBYuXMi6deu4cOECFSpUoH379gQHB+Pi4pKvc1y5coU5c+bw008/kZycTJUqVejSpQudOnXKtW9mZibLli1j5cqVJCQk4OXlRUBAAH379sXNze2G18jKymLIkCHs27ePZs2aMWnSpDt+zSIiImJ77r3XWCwhJATefNNo7IwYYfzx8DA7nePJyICFC41VRMuXh//+17jF15ZXERUREZHiYdeNtrCwMLZs2UK7du2oU6cO+/btY/bs2Zw+fZpRo0bd8vhr164xatQoDh06RJcuXahatSo7duzgo48+IikpiV69elnsP2PGDJYvX06LFi3o3r07x44dY+nSpRw+fJipU6fidIOfzr777jvi4+ML5TWLSNFITU29acNcRIqGo9VerVqwfDn873/wxhvG7Ynjxxvzgmmi/aKXlQWrVkFoKKSkQHi4MY+ePawierscrfZErIVqT8T22e2PDdu3b2fLli0EBQUxevRoOnTowOjRowkKCmL16tUcOHDgludYvXo1sbGxvPbaawwaNIjAwEDCwsJo0aIFCxYs4Pz58zn7Hj16lMjISFq0aEFYWBiBgYEMGjSI1157jV27drFx48Y8r3Hx4kW++uor+vbtW0ivXESKwtixY82OIOKQHLX2mjSBH3+EefOMkW7+/vCf/0BmptnJ7NfWrcZcef37wyuvQGws9OzpmE02cNzaEzGbak/E9tntjw7r168HoFu3bhbbsx+vW7cuX+dwc3MjMDAw1zmuXbtGTExMzrYNGzaQlZWV63qBgYG4ubnl5PmnTz75BB8fn1zHiYh1mTx5stkRRBySI9eekxN06AC//grvvGNMxv/ww7B2rTHySgrHgQPQpQs88ww89ZSxQMWQIVCqlNnJzOXItSdiJtWeiO2z20ZbXFwc3t7e+Pj4WGz38fHB29ubuLi4mx6fmZnJoUOHqFGjBqX+8ZOWv78/zs7OFueIjY3F2dkZf39/i31LlSqFr68vsbGxua6xbds2fvrpJ4YPH57vOeNExBwawi9iDtUeuLhA797Gggm9e8MLLxgNoZ07zU5m206ehJdfNpqXVaoYK76+/baxKIWo9kTMotoTsX1222hLTEzE29s7z+e8vb1JTEy86fGXL18mLS0tz3OUKlUKDw8Pi3NcuHABT0/PXE257OtdvHiRjIyMnG2pqal8/PHHPPPMM9SvXz+/L0tEREQclJubsVjCkSPGraVPPglBQXDwoNnJbMuffxrz3/n5GfOw/f47fPYZVKxodjIRERGxB1bfaEtNTWXz5s35/pMtLS0tz6YXGI2y1NTUm143LS0NgJIlS+brHGlpaTfdF4xVULPNmzePlJQUXn311ZvmEBHrsHjxYrMjiDgk1V5unp7w7rtw6JCxImaDBjBwIJw5Y3Yy63b1KkydCtWrwy+/wKZNxmqiNWqYncw6qfZEzKHaE7F9Vt9ou3Tp/7V372FRl3kfxz/DGUVAQcBDooCKh3JJy0NR4npEzEPZSmWyu5mbhzJLn2xTS2vLLDNdW33isczcVFArSVNRKDugq6mVLhbohWWiSwYkisPp+WMe5nECEXTgB8z7dV1zXcz9+809399cfr2HL/fvvnM1Z86caj/Kubu72xS2Lmc2m686Jdf9/7b2KioqqlYf7u7uVZ4r/X/BLSMjQ4mJiZo4caJ8fX2rjKMyY8eO1YwZMzRjxgxt2bJFM2bMsCn6rV+/Xtu3b7c+z87O1uzZs236WLlypdLS0qzP09PTtXDhQptzFi5caHPLa1pamlauXGlzzuzZs5WdnW19vn37dpvBobCwkPiIr1HEt2PHjnodX33//IiP+K41viZNmtTr+Iz8/JycsrVihWUNt2+/3a4OHdbrmWekvLz6EV99+fw++yxNDz64Up06SevXSwkJUs+es9W6df2Ir75+fuXfUetrfOWIj/gaW3y+vr71Oj6pfn9+xEd8NYnv0UcftdZW7LkRiSklJaVeL6dbXFysn376qdrnt2vXTpL04IMP6uLFi0pISKhwztixYxUQEKDly5dfsZ/S0lJFR0erY8eOWrZsmc0xs9msYcOGqX///tbi3syZM/XVV19p27ZtFWbSTZ06VadPn9bGjRslSdOnT9cvv/yil156SSaTyXpebGysevXqpSeeeEJNmzZVs98sElJQUKCYmBjl5eXJ29u72p8JAABo/PbulZ56ynIr5F//Kk2eLP3f3w0dUlmZ9OGH0uzZktlsmQU4dqzj7iIKAACuLD8/Xz4+PkpKSlLTpk2vqy8XO8VUa1xcXKzFs5ro3LmzkpOTdfbsWZsNEc6ePaucnBxFRkZW+XonJyd17NhRGRkZMpvNNsWz9PR0lZaWqnPnzta28PBw7d+/X+np6TZrrpnNZmVmZioiIsLalp2drTNnzui+++6r8L779+9XbGysYmNj9fDDD9f4ugEAgGPq3VvavVvavt2yBtnrr0vz51s2T3C0PZc++8zyGWRkSPPmWTY9cPRdRAEAQN1otH/TGzBggCQpMTHRpr38+cCBA23aT548qVOnTlXoo7CwUElJSRX6cHFx0Z133mlti4qKkslkqvB+SUlJKiwstHm/J554QgsWLKjwkCwFuwULFmjw4MHXctkAasnlU5wB1B1yr2ZMJmnoUMsaZM8/bykyRURIW7daZng1dt9+K911lxQdLQ0ZImVmWmb2UWSrOXIPMAa5BzR89X5G27Xq27ev+vbtq4SEBBUUFKhr1646evSotm7dqqFDh6pr164250+YMEGBgYFat26dtS0mJkYff/yx3njjDWVnZys4OFh79+7Vnj17FBcXp8DLtqcKCQnRqFGjtHnzZs2dO1e9e/dWVlaWNm3apIiICEVFRVnPveWWW64Yt5+fn26//XY7fhIA7OH111/Xiy++aHQYgMMh966Nk5P0wAOWWyVXrJAmTJC6dpUWLpT69DE6Ovs7edJSVFy3Tnr4YSk+XrrshgZcA3IPMAa5BzR89X6NtuthNpv1zjvvKDk5WefOnVPLli01bNgwjRs3Ti4utjXGqKioCoU2STp//rzi4+O1Z88e/frrr2rdurVGjx6tkSNHVni/kpISbdy4UUlJScrOzpaPj48GDBiguLg4eXp6XjXeqKgo3XbbbXr++ecrPc4abQAA4Frk50uvvCItXmyZ6fXCC1J4uNFRXb9z56QXX5SWL5fGjJEWLJA6dDA6KgAA0NDYc422Rl1oa2wotAEAgOuRnW0pRq1aJY0fb5kF1qaN0VHV3IUL0tKl0ksvSX37Woptv/ud0VEBAICGyp6Ftka7RhsAAABsBQVZZn99/bWUlyd16mTZlTM31+jIqqe4WHrzTaljR2nTJmnzZmnbNopsAACg/mi0a7Q5msLCQpnNZqPDQD3j5uYmDw8Po8NoFFauXKlJkyYZHQbgcMi92tGxo7R+vbR/v2V3zpAQ6emnpalTpfo4bJSVWYpqTz8tlZZadlS9+27L5g+oHeQeYAxyD2j4KLQ1AoWFherQoQM71KCCoKAgnThxgmKbHfTo0cPoEACHRO7Vrl69pORkaedO6amnLLdjzp9vua3U2dno6Cw++cRSDMzKkp59VvrTnyRXV6OjavzIPcAY5B7Q8LFGWwNypTXayu8l/uGHH1i7DVb5+fm64YYbWNMPAFAtpaWWWW7PPCN5elrWPYuJMW7W2NdfW25r/ewzadYsafp06TqXTAEAAKiUPddoY0ZbI+Lt7U1BBQAAXBMnJyk21nJL5n//t/TnP0udO0sLF0r9+tVdHFlZ0ty5UkKC9Je/SKtXS/7+dff+AAAA14PNEACgGtLT040OAXBI5F7dc3OzrNWWmSkNHCgNGSKNGiUdPVq775uTI82YIYWHW57/+9/S4sUU2YxC7gHGIPeAho9CGwBUwwcffGB0CIBDIveM06yZNG+epeDWrp3Us6dlltsPP9j3fQoKpBdekEJDpe++k/butcxiCw627/ugZsg9wBjkHtDwUWgDgGr4r//6L6NDABwSuWe8gADLJgnffitdvGi5nXTWLOncuevrt6hIWrFCCguTtmyRPvxQSkqSbrrJPnHj+pB7gDHIPaDho9CGeqd9+/aKj483Ogy7i4uL0wMPPGB0GAAAXJPQUOmf/7RsTnD4sOX5yy9bim81UVZmWX+tWzdpyRLpjTekL7+U7ryzVsIGAACoUxTagDry+uuva/ny5dU+Pz4+Xu3bt6+9gAAAuAY33yxt324plm3YIHXsKP3P/0jFxVd/bUqK1Lu3ZQfRmTMts+RGjzZuZ1MAAAB7o9DmQMrKyvTs9OkqKyurF/04Gh8fH/n4+BgdBq7RwoULjQ4BcEjkXv01cKC0b59lw4KXXrLc8vn++1JuruXxyy9lmv3IdP3yS5kOHJCGDbMU1caMkb7/Xpo4UXJxMfgicEXkHmAMcg9o+Ci0OZAP/vlPnYyP14fvvWd4P++9957Cw8Pl4eGhoKAgPfzwwzbH8/LyNHbsWDVt2lRdunTR7t27rcfS09MVHR0tf39/+fr6Kjo6WidOnLAeT01Nlclk0tatW9WpUyd5enpqzJgxys3NtZ5TUlKiOXPmqG3btmrWrJn69++vr7/++orxVqfPgoICPfTQQ2revLm8vLx0991368yZM9bjv711tH379nr11Vcrvc7U1FRNnDhRWVlZMplMMplMSk1NVWFhoSZOnKiAgAB5enoqPDxc77//fk0/flyDkSNHGh0C4JDIvfrNyUm6917LjqTTpkl/+YvUvLnl0bbFP5W5Il5tW7yn226TuneXjh+XnnpKatLE6MhxNeQeYAxyD2j4KLQ5gPilS3VnWJiS58xRfEGBdj7zjO4MC1P80qWG9HP69Gn98Y9/1HPPPadjx44pKSlJPXv2tDnn5Zdf1ogRI3To0CFFRkbqgQcekNlsliSdP39e99xzjz777DN99tlncnNz07hx4yq8z7x587R69WqlpKQoPT1d06dPtx577rnntHXrVr333ns6ePCgbrvtNg0aNEj5+flVxl5Vn48//rg++eQTffDBB/r000916tQpjR8/vsr+rnSd/fr106uvvqq2bdvq9OnTOn36tPr166elS5fqwIED2rZtm44eParXXntN3t7eV/nEYQ/h4eFGhwA4JHKvYXB1lR55RPrxR2nZy0t1e4cwTQieo3Uq0ITgZ3RrmzB1vmGpWrQwOlJUF7kHGIPcAxo+Juw7gD9Pm6aW/v7a9dRTcpJkKi7WjJde0l2xsYb089NPP8nd3V3Dhw+Xl5eXgoOD1atXL5tz7r77bj344IOSLEWxN998U9999526d++uXr162Zy/YsUKtWrVSidPnlS7du2s7QsWLFDfvn0lSUuXLtWwYcO0ZMkSeXh46JVXXtG+ffvUvXt3SdILL7yghIQEffjhh1VuWHClPp2dnfXWW2/pgw8+0B133CFJevvtt9WlSxcdOXJE3bp1q7S/qq7T29tbzs7OCgoKsp7/ww8/KCIiwlqY7NChQzU+cQAA6oaLizTlyWm6oc3/f19wLi3WE3+r+fcFAACAhogZbQ7AZDLpxj591OTCBf2lVSs1uXBBN/XtK1MNVx62Vz89evTQTTfdpJCQEMXFxWnDhg3W2WrlbrzxRuvP5YWms2fPSrLcVjplyhR17NhR3t7eCgsLk2QpQl3u1ltvtfm5uLhYmZmZyszM1MWLF9WnTx95eXlZH5mZmTp+/HiVsV+pz+PHj6u4uFh9+vSxHg8PD5evr6+OHTt2xf6qus7KjB8/XomJierZs6eefvppHThwoMp4YT9paWlGhwA4JHKv4bHX9wUYi9wDjEHuAQ0fhTYHkbh8ufY1a6bpu3drX7NmSqzB7pf27sfFxUWpqalav369AgMDNWvWLPXr18+m2Obq6mr9ufyLeWlpqSTpiSee0CeffKIlS5YoLS1NX3zxhSSpqKjI5n0u/0J/+c/nz5+XZFkH7dChQ9bHsWPHNHXq1Cpjv1Kf17oxRFXXWZlbb71VJ06c0PTp05WVlaXbbrtNr7zyyjW9N2rm8OHDRocAOCRyr2Gy1/cOGIfcA4xB7gENH4U2B9G8TRtt+Ne/FB4eroR//UvN27QxtB9nZ2dFRUVp4cKF2rdvnw4cOKBDhw5V67VpaWl66KGHNHz4cHXt2lV5eXmVnrdv3z6bn11cXBQaGqouXbrIzc1Np0+fVlhYmM2jxVUWj7lSn6GhoXJxcbH5C1R6erpyc3OveZ0FV1dXlZSUVGhv0aKFxo8fr7Vr12r+/PlatWrVNfWPmpk0aZLRIQAOidxrmOz1fQHGIfcAY5B7QMPHGm0OYuKMGdaf/f399dDjjxvWz969e5WamqpBgwbJz89PCQkJcnd3V3BwcLVeHxoaqsTERA0ePFjnzp3TzJkzKz1vzpw58vX1lSQ99thjuu+++6zPp06dqkceeURms1k333yzsrOztWXLFt1///1XXE/tan3+6U9/0vTp09WsWTM1bdpUkydP1qBBg9S1a9dqXddvBQcH68yZM9q/f7/at28vHx8f/f3vf1fbtm31u9/9ToWFhdqxY4c6d+58Tf0DAFBb7PW9AwAAoKGh0IY65+3trV27dmnRokW6cOGCunTpok2bNikwMLBar3/11Vc1YcIE9ezZUx06dNCSJUs0ZMiQCufNmTNH999/v3788UcNHTpUS5YssR5btGiR/Pz89OSTT+rUqVMKDAxU//795efnV+V7V9Xnq6++qscee0wjRoxQcXGxhgwZojfeeKNa11SZO+64Q+PGjdPAgQOVl5enlJQUNW3aVAsWLFBGRoY8PT31+9//XktruOsrAAAAAACoHaaUlJRrW1wKda6goEAxMTHKy8uTt7e3tT0/P18+Pj4V2h1VamqqoqKiVFRUJBcX+9SSa6PP2sa/C/uaPXu2XnzxRaPDABwOuQcYg9wDjEHuAcYo//05KSlJTZs2va6+WKMNAKrhscceMzoEwCGRe4AxyD3AGOQe0PBRaAOAaggKCjI6BMAhkXuAMcg9wBjkHtDwNYx74IAa6N+/v8rK7HtHdG30CQAAAAAAGhdmtAFANWzfvt3oEACHRO4BxiD3AGOQe0DDR6ENAKohNzfX6BAAh0TuAcYg9wBjkHtAw8eto41Ifn6+0SGgHuHfg3394Q9/MDoEwCGRe4AxyD3AGOQe0PA16kKb2WzWu+++q507d+rnn39Wy5YtFR0drXHjxsnZ2blafZw/f16rVq3Sp59+qvz8fLVp00ajR4/WXXfdVeHc0tJSbdy4UVu2bFF2drZ8fX01YMAAxcXFycPDo8L5JSUlev/997V9+3b98MMPcnZ2VuvWrRUTE1Np/1fi5uamoKAg3XDDDdV+DRxDUFCQ3NzcjA4DAAAAAACH0KgLbfPnz9fnn3+uYcOGqVu3bjpy5Iji4+P1008/aebMmVd9fVFRkWbOnKnvv/9eo0ePVnBwsPbt26fXXntNeXl5Gj9+vM35y5cv16ZNmxQZGal7771XWVlZSkxMVEZGhhYtWiSTyWTT91//+ld98803Gjx4sEaOHCmz2axTp07pzJkzNbpODw8PnThxQmazuUavQ+Pn5uZWaZEXNVdYWMhnCRiA3AOMQe4BxiD3gIav0Rba9u7dq88//1xjx47V5MmTJUnDhw+Xl5eXEhISFBMToy5dulTZx9atW5Wenq5p06ZpzJgxkqSYmBjNnTtXa9as0dChQ9WyZUtJ0okTJ7R582ZFRkZq/vz51j5atWqlZcuWKTU1VVFRUdb2NWvW6JtvvtGyZcsUFhZ23dfr4eHBf8hALXr66ae1ePFio8MAHA65BxiD3AOMQe4BDV+j3QwhOTlZknTPPffYtJc/37lzZ7X68PDwUExMTIU+ioqKlJKSYm3bvXu3ysrKKrxfTEyMPDw8rPFI0sWLF7Vx40YNHz5cYWFhKi0t1cWLF2t2gQDq1OWFcgB1h9wDjEHuAcYg94CGr9EW2o4dOyZ/f38FBATYtAcEBMjf31/Hjh2r8vWlpaX6/vvvFRYWVmGNq/DwcDk5Odn0kZ6eLicnJ4WHh9uc6+bmptDQUKWnp1vbvvnmG124cEEhISFatGiRoqOjFR0drTFjxujtt99WSUnJtV42gFpyeWEdQN0h9wBjkHuAMcg9oOFrtLeO5uTkKDg4uNJj/v7+ysnJqfL1v/76qy5duiR/f/8Kx9zc3OTt7W3Tx88//ywfH59KF5739/fXkSNHVFJSImdnZ508eVKS9Oabb8rLy0vTpk2Tp6enduzYodWrV+vs2bOaNWtWTS4XAAAAAAAABqv3hbbCwkLt37+/2ufffvvtkqRLly5dcbdFNzc3FRYWVtnPpUuXJEmurq7V6uPSpUtVnitZdkH19PS03iZaVFSkZcuWydfXV5JlmvD06dO1bds2jRs3Tu3atbPpp6ysTJKUn59fZewA7O/IkSPkHmAAcg8wBrkHGIPcA4xRnnfldZfrUe8Lbbm5uZozZ061zy+fauvu7n7FXTjNZvNVNw5wd3eXZCmGVacPd3f3K66zVh5HecGtvO8+ffpYi2ySZDKZNHToUH399dc6dOhQhUJbef833HBDlbEDqB0+Pj5GhwA4JHIPMAa5BxiD3AOMc/HiRXl5eV1XH/W+0Obv76/Vq1df0+uudHtoTk5OhbXbfqtZs2Zyd3evtA+z2az8/Hyb20r9/PyUlZUls9lcYSZdTk6OWrRoIWdnZ2ts5a/5rfK2yv6K4efnpw0bNsjT01Mmk6nK+AEAAAAAAHB1ZWVlunjxYqV1mpqq94U2FxeXCjO7qqNz585KTk7W2bNnbYpqZ8+eVU5OjiIjI6t8vZOTkzp27KiMjIwKxbP09HSVlpaqc+fO1rbw8HDt379f6enpuummm6ztZrNZmZmZioiIsLZ16dLFGstvnTlzRpLUvHnzSmNq2bLl1S4dAAAAAAAANXC9M9nKNdpdRwcMGCBJSkxMtGkvfz5w4ECb9pMnT+rUqVMV+igsLFRSUlKFPlxcXHTnnXda26KiomQymSq8X1JSkgoLC23er1WrVurevbu++OILZWdnW9uLi4u1ZcsWOTs7q1evXjW9ZAAAAAAAABio3s9ou1Z9+/ZV3759lZCQoIKCAnXt2lVHjx7V1q1bNXToUHXt2tXm/AkTJigwMFDr1q2ztsXExOjjjz/WG2+8oezsbAUHB2vv3r3as2eP4uLiFBgYaD03JCREo0aN0ubNmzV37lz17t1bWVlZ2rRpkyIiIhQVFWXzfo8++qgeffRRTZkyRaNGjVKTJk2UnJys77//Xg8++KBN3wAAAAAAAKj/TCkpKde/pUI9ZTab9c477yg5OVnnzp1Ty5YtNWzYMI0bN04uLrY1xqioqAqFNkk6f/684uPjtWfPHv36669q3bq1Ro8erZEjR1Z4v5KSEm3cuFFJSUnKzs6Wj4+PBgwYoLi4OHl6elY4PzMzU6tWrdLhw4dlNpsVHBysu+++W0OHDrXvBwEAAAAAAIBa16gLbY1BaWmpNm7cqC1btig7O1u+vr7W4t3Vdk4FcO2ys7MVGxtb6bHu3btr2bJldRwR0PisXbtW3333nY4dO6YzZ84oNDRU8fHxVzw/LS1Na9as0fHjx+Xm5qabb75ZkyZNUlBQUB1GDTR8Ncm9cePGWdcQ/q3k5GTrZl8Aqvbdd98pOTlZBw8e1OnTp+Xs7Ky2bdtq1KhRGjhwYIXN7hjzAPupSf7ZY9xrtLeONhbLly/Xpk2bFBkZqXvvvVdZWVlKTExURkaGFi1axO6jQC2LjIyssHmKr6+vMcEAjUx8fLy8vb3VqVOnSnfbvtynn36qZ599VqGhoZo0aZIKCgq0ceNGTZs2TStXrlSLFi3qKGqg4atJ7klSu3bt9MADD1Rod3JqtMs9A3a3bt06HThwQJGRkRoxYoTMZrNSU1P1t7/9TQcPHtSsWbOs5zLmAfZVk/yTrn/co9BWj504cUKbN29WZGSk5s+fb21v1aqVli1bptTU1AprvwGwr5CQEA0aNMjoMIBGae3atWrdurUky18Pr6S4uFjLli1TQECAli5dal2OoXfv3po0aZJWr16txx9/vE5iBhqD6uZeuebNmzMWAtdp9OjReuqpp+Tm5mZtGzNmjGbMmKFt27Zp7Nix6tChA2MeUAuqm3/lrnfc489Q9dju3btVVlame+65x6Y9JiZGHh4eSk5ONigywLGYzWYVFhYaHQbQ6JT/on81hw8fVk5OjqKjo23WPA0LC1OPHj2UkpKikpKS2goTaHSqm3uXKykp0YULF2ohGsAx3HjjjTa/5EuW2TF33HGHJMskC4kxD6gN1c2/y13PuMeMtnosPT1dTk5OCg8Pt2l3c3NTaGio0tPTDYoMcBwbNmzQ6tWrJUmBgYGKjo7WfffdV2FDFQC1p3y869atW4VjXbt21cGDB3Xq1Cm1a9eurkMDHMK///1vDR06VMXFxfLy8lJkZKQmTpyo5s2bGx0a0OD95z//kST5+PhIYswD6tJv86/c9Y57/KZYj/3888/y8fGpUHmVJH9/fx05ckQlJSUsQgvUApPJpIiICN1+++0KCgrSL7/8ol27dumtt97SsWPH9Pzzz7NGIlBHfv75Z0mWse+3yttycnL4pQOoBe3bt9fw4cPVrl07FRUV6auvvtLHH3+sQ4cO6R//+EeFX04AVN+5c+f00UcfKTAwUDfddJMkxjygrlSWf5J9xj0KbfXYpUuX5OrqWumx8uKb2Wy2mVIMwD4CAwO1ePFim7bhw4fr+eef165du/Tll1+qX79+BkUHOJbyW7crGxPLx8NLly7VaUyAo3jppZdsng8cOFBdunTR4sWLtXbtWk2ePNmgyICGzWw2a+7cuSooKNC8efOsYxxjHlD7rpR/kn3GPdZoq8fc3d1VVFRU6TGz2SxJlc52A1B7ynef2bt3r8GRAI7Dw8NDkiodE8vHQ3d39zqNCXBkI0aMkK+vr/bt22d0KECDVFxcrHnz5uno0aN6/PHH1bNnT+sxxjygdlWVf1dS03GPQls95ufnp7y8POt/qJfLyclRixYtuG0UqGOBgYGSpLy8PIMjARyHn5+fJMvY91vlbZXdYgOg9gQGBjIWAtegpKRE8+fPV1pamqZOnaqYmBib44x5QO25Wv5VpSbjHoW2eiw8PFylpaUVNj0wm83KzMxU586dDYoMcFynTp2SJLVo0cLgSADHUb4p0JEjRyocO3r0qLy8vNSmTZu6DgtwWKWlpTp9+jSbIQA1VFJSohdeeEF79uzRI488ojFjxlQ4hzEPqB3Vyb8rqem4R6GtHouKipLJZFJiYqJNe1JSkgoLCzVw4ECDIgMav3PnzlVoKykp0apVqyRJffv2reuQAIfVo0cP+fn5aevWrbp48aK1PSMjQ4cPH1ZUVBQzvIFakJeXp9LS0grt69evV35+PmMhUAOlpaVauHChUlJS9NBDD+nee++t9DzGPMD+qpt/9hr32AyhHgsJCdGoUaO0efNmzZ07V71791ZWVpY2bdqkiIgIRUVFGR0i0Gi99tprys3NVUREhAICApSbm6uUlBQdP35cgwYN0i233GJ0iECDt2PHDp05c0aSVFBQoKKiIq1Zs0aSZXr+4MGDJUkuLi6aOnWq5s+fr0cffVTDhw/XhQsXlJiYqObNm2vChAmGXQPQEFU393bu3KnNmzcrMjJSQUFBKio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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Generate the source bias'''\n", "\n", "try: \n", " from engy_5310.toolkit import TargetFunction \n", "except ModuleNotFoundError:\n", " assert False, 'You need to provide your own code here. Bailing out.'\n", "\n", "shape_pts = [(x_a,source_bias_value), (x_b,source_bias_value)]\n", "#shape_pts = [(x_a,source_bias_value), ((x_a+x_b)/2,1.3*source_bias_value), (x_b,source_bias_value)]\n", "shape_pts = [(x_a,source_bias_value), ((x_b+x_a)/2,-2*source_bias_value/4), (x_b,source_bias_value)]\n", "#shape_pts = [(x_a,source_bias_value), ((x_b+x_a)/8,2*source_bias_value), ((x_b+x_a)/4,source_bias_value), (3*(x_b+x_a)/4,2*source_bias_value), (x_b,source_bias_value)]\n", "\n", "print('# shape pts = ', len(shape_pts))\n", "\n", "source_bias = TargetFunction(shape_pts, type='stepwise')\n", "source_bias = TargetFunction(shape_pts, type='linear')\n", "#source_bias = TargetFunction(shape_pts, type='legendre')\n", " \n", "source_bias.plot(n_plot_pts=200, show_shape_pts=True, title='Source Bias')" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:51:16.002386Z", "start_time": "2022-04-23T05:51:15.850801Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# shape pts = 5\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Generate the source slope'''\n", "\n", "try: \n", " from engy_5310.toolkit import TargetFunction \n", "except ModuleNotFoundError:\n", " assert False, 'You need to provide your own code here. Bailing out.'\n", "\n", "shape_pts = [(x_a,source_slope_value), (x_b,source_slope_value)]\n", "#shape_pts = [(x_a,source_slope_value), ((x_b+x_a)/2,source_slope_value/4), (x_b,source_slope_value)]\n", "shape_pts = [(x_a,source_slope_value), ((x_b+x_a)/8,4*source_slope_value), ((x_b+x_a)/4,source_slope_value/3), (3*(x_b+x_a)/4,2*source_slope_value), (x_b,source_slope_value)]\n", "\n", "print('# shape pts = ', len(shape_pts))\n", "\n", "source_slope = TargetFunction(shape_pts, type='legendre')\n", "#source_slope = TargetFunction(shape_pts, type='linear')\n", " \n", "source_slope.plot(n_plot_pts=200, show_shape_pts=True, title='Source Slope', y_label=r'$S(x)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### [Lift Function](#toc)\n", "Since $w\\in V(a,b)$, construct as follows $w = \\sum\\limits_{i=1}^N\\,\\alpha_i\\,\\phi_i$ such that $w(b) = u_b$." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:51:17.292103Z", "start_time": "2022-04-23T05:51:17.096815Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Build the basis functions'''\n", "\n", "degree = 1\n", "n_elem = 1\n", "\n", "try: \n", " from engy_5310.toolkit import LagrangeFEMBasis \n", "except ModuleNotFoundError:\n", " assert False, 'You need to provide your own code here. Bailing out.'\n", " \n", "lift_basis = LagrangeFEMBasis(degree=degree, n_elem=n_elem, x_partition=[x_a, x_b])\n", "lift_basis.plot(n_plot_pts=300)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:51:17.779162Z", "start_time": "2022-04-23T05:51:17.775896Z" } }, "outputs": [], "source": [ "'''Build the coefficients of the lift function'''\n", "import numpy as np\n", "alpha_vec = np.zeros(len(lift_basis.basis_func_list))\n", "alpha_vec[0] = u_b/2 # any value\n", "alpha_vec[-1] = u_b" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:51:19.029392Z", "start_time": "2022-04-23T05:51:19.026825Z" }, "code_folding": [ 2 ] }, "outputs": [], "source": [ "'''Build the lift function'''\n", "\n", "def w_lift(x):\n", " a_mtrx = lift_basis.evaluation_matrix(x)\n", " return a_mtrx@alpha_vec" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:51:19.672878Z", "start_time": "2022-04-23T05:51:19.670159Z" }, "code_folding": [ 2 ] }, "outputs": [], "source": [ "'''Build the lift function derivative'''\n", "\n", "def w_lift_prime(x):\n", " a_mtrx = lift_basis.evaluation_matrix(x, derivative=True)\n", " return a_mtrx@alpha_vec" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:51:20.289037Z", "start_time": "2022-04-23T05:51:20.285216Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "w(a) = [1.] w(b) = [2.]\n" ] } ], "source": [ "'''Test boundary values'''\n", "\n", "print('w(a) = ',w_lift(x_a), ' w(b) = ',w_lift(x_b))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T05:51:21.039249Z", "start_time": "2022-04-23T05:51:20.896186Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Rayleigh Ritz Method with FEM Lagrange Basis Functions'''\n", "\n", "n_pts = 500\n", "x = np.linspace(x_a, x_b, n_pts)\n", "u_values = w_lift(x)\n", "\n", "import matplotlib.pyplot as plt\n", "#%matplotlib inline\n", "#plt.style.use('dark_background')\n", "plt.figure(1, figsize=(18, 5))\n", "\n", "plt.plot(x, u_values, 'r-', label='Lift function')\n", "\n", "plt.title(r'Rayleigh-Ritz Method with Finite Element Lagrange Basis Functions (n='+str(len(lift_basis.basis_func_list))+')', fontsize=20)\n", "plt.ylabel(r'$w(x)$', fontsize=18)\n", "plt.xlabel(r'$x$', fontsize=18)\n", "plt.xticks(fontsize=16)\n", "plt.yticks(fontsize=16)\n", "plt.legend(loc='best',fontsize=12)\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### [Finite Element Lagrange Basis Functions](#toc)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T06:02:03.703786Z", "start_time": "2022-04-23T06:02:03.244678Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Build the basis functions'''\n", "\n", "degree = [2,2]\n", "n_elem = [3,10]\n", "\n", "try: \n", " from engy_5310.toolkit import LagrangeFEMBasis \n", "except ModuleNotFoundError:\n", " assert False, 'You need to provide your own code here. Bailing out.'\n", " \n", "femlb = LagrangeFEMBasis(degree=degree, n_elem=n_elem, x_partition=[x_a, x_a+1, x_b], bc_x_max='dirichlet')\n", "femlb.plot(n_plot_pts=300, n_legend_cols=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " + $A_{i,j} = (D\\,\\phi'_i,\\phi'_j) - (S\\,\\phi_i,\\phi_j) + h\\phi_j(a)\\,\\phi_i(a)$" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T06:02:34.107943Z", "start_time": "2022-04-23T06:02:05.305041Z" } }, "outputs": [], "source": [ "'''Build the matrix of coefficients of the linear system (using global basis functions)'''\n", "# Too slow (keep for information)\n", "\n", "import numpy as np\n", "n = len(femlb.basis_func_list)\n", "a_mtrx = np.zeros((n, n), dtype=np.float64)\n", " \n", "for i,phi_prime_i in enumerate(femlb.basis_func_prime_list):\n", " for j,phi_prime_j in enumerate(femlb.basis_func_prime_list):\n", " (a_ij, _) = femlb.inner_product(phi_prime_j, phi_prime_i)\n", " a_mtrx[i,j] = a_ij * diff_coeff\n", " \n", "for i,phi_i in enumerate(femlb.basis_func_list):\n", " for j,phi_j in enumerate(femlb.basis_func_list):\n", " s_x_phi_j = lambda x: source_slope(x) * phi_j(x)\n", " (a_ij, _) = femlb.inner_product(s_x_phi_j, phi_i)\n", " a_mtrx[i,j] -= a_ij\n", " \n", "for i,phi_i in enumerate(femlb.basis_func_list):\n", " for j,phi_j in enumerate(femlb.basis_func_list):\n", " a_mtrx[i,j] += h * phi_j(x_a) * phi_i(x_a) " ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T06:02:34.119344Z", "start_time": "2022-04-23T06:02:34.110665Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A is full rank.\n" ] } ], "source": [ "try: \n", " from engy_5310.toolkit import matrix_rank\n", "except ModuleNotFoundError:\n", " assert False, 'You need to provide your own code here. Bailing out.'\n", " \n", "if matrix_rank(a_mtrx) == min(a_mtrx.shape):\n", " print('A is full rank.')\n", "else:\n", " print('A is rank deficient.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " + $b_i = (f,\\phi_i) - (D\\,w',\\phi'_i) + (S\\,w,\\phi_i) - h\\,\\bigl(w(a)-u_\\text{ref}\\bigr) \\,\\phi_i(a)$" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T06:02:36.118633Z", "start_time": "2022-04-23T06:02:34.121180Z" } }, "outputs": [], "source": [ "'''Build load vector (using global basis functions)'''\n", "# Too slow (keep for information)\n", "\n", "b_vec = np.zeros(n, dtype=np.float64)\n", "\n", "for i, phi_i in enumerate(femlb.basis_func_list):\n", " (b_vec[i], _) = femlb.inner_product(source_bias, phi_i) \n", " (term1, _) = femlb.inner_product(w_lift_prime, femlb.basis_func_prime_list[i])\n", " b_vec[i] -= diff_coeff * term1\n", " s_x_w = lambda x: source_slope(x) * w_lift(x)\n", " (term2, _) = femlb.inner_product(s_x_w, phi_i)\n", " b_vec[i] += term2\n", " b_vec[i] -= h * (w_lift(x_a) - u_ref) * phi_i(x_a)" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T06:02:36.123704Z", "start_time": "2022-04-23T06:02:36.120965Z" } }, "outputs": [], "source": [ "'''Compute optimal coefficient vector'''\n", "\n", "c_star_vec = np.linalg.solve(a_mtrx, b_vec)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T06:02:36.128579Z", "start_time": "2022-04-23T06:02:36.125422Z" }, "code_folding": [ 2 ] }, "outputs": [], "source": [ "'''Build the best approximation function in V_N'''\n", "\n", "def u_star(x):\n", " u_0 = femlb.evaluation_matrix(x)@c_star_vec\n", " w = lift_basis.evaluation_matrix(x)@alpha_vec\n", " return u_0 + w" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T06:02:36.133612Z", "start_time": "2022-04-23T06:02:36.130325Z" }, "code_folding": [ 2 ] }, "outputs": [], "source": [ "'''Build the best approximation function in V_N'''\n", "\n", "def u_prime_star(x):\n", " u_prime_0 = femlb.evaluation_matrix(x, derivative=True)@c_star_vec\n", " w_prime = lift_basis.evaluation_matrix(x, derivative=True)@alpha_vec\n", " return u_prime_0 + w_prime" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### [Results: Dirichlet/Robin Boundary Conditions Case](#toc)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T06:02:36.378450Z", "start_time": "2022-04-23T06:02:36.135214Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "'''Rayleigh Ritz Method with Fourier Basis Functions'''\n", "\n", "n_pts = 500\n", "x = np.linspace(x_a, x_b, n_pts)\n", "u_values = u_star(x)\n", "\n", "import matplotlib.pyplot as plt\n", "#%matplotlib inline\n", "#plt.style.use('dark_background')\n", "plt.figure(1, figsize=(18, 5))\n", "\n", "plt.plot(x, u_values, 'r-', label='Rayleigh-Ritz Solution w/ Dirichlet/Robin BC')\n", "\n", "plt.title(r'Rayleigh-Ritz Method with Finite Element Lagrange Basis Functions (n='+str(len(femlb.basis_func_list))+')', fontsize=20)\n", "plt.ylabel(r'$u_N(x)$', fontsize=18)\n", "plt.xlabel(r'$x$', fontsize=18)\n", "plt.xticks(fontsize=16)\n", "plt.yticks(fontsize=16)\n", "plt.legend(loc='best',fontsize=12)\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T06:02:36.392278Z", "start_time": "2022-04-23T06:02:36.381939Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "u^*_N(a) = [5.00917] u^*_N(b) = [2.] u^*'_N(a) = [1.99502]\n" ] } ], "source": [ "'''Rayleigh-Ritz solution evaluated at the boundaries'''\n", "\n", "np.set_printoptions(precision=5)\n", "print('u^*_N(a) = ', u_star(x_a), 'u^*_N(b) = ', u_star(x_b), \" u^*'_N(a) = \", u_prime_star(x_a))" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "ExecuteTime": { "end_time": "2022-04-23T06:02:36.404013Z", "start_time": "2022-04-23T06:02:36.394291Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q_na computed = [0.1995]\n", "h (u(a)-u_ref) = [0.19667]\n", "flux error [%]= [1.44137]\n" ] } ], "source": [ "'''Flux at boundary'''\n", "\n", "print('q_na computed = ', -(-diff_coeff*u_prime_star(x_a)))\n", "print('h (u(a)-u_ref) = ', h*(u_star(x_a)-u_ref))\n", "print('flux error [%]= ', (-(-diff_coeff*u_prime_star(x_a)) - h*(u_star(x_a)-u_ref))/(h*(u_star(x_a)-u_ref))*100)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.9" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "220.75px" }, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }