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DIFFUSION - TOMS866 / IFISS Files for the Convection-Diffusion Equation
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DIFFUSION <br> TOMS866 / IFISS Files for the Convection-Diffusion Equation
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<p>
<b>DIFFUSION</b>
is a directory of MATLAB M-files which are specifically for the
solution of the diffusion equation, also known as the Poisson equation.
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Author:
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<ul>
<li>
Howard Elman,<br>
Department of Computer Science,<br>
University of Maryland,<br>
College Park, Maryland 20742,<br>
USA,<br>
elman@cs.umd.edu
</li>
<li>
Alison Ramage,<br>
Department of Mathematics,<br>
University of Strathclyde,<br>
26 Richmond Street,<br>
Glasgow G1 1XH,<br>
United Kingdom,<br>
a.ramage@strath.ac.uk
</li>
<li>
David Silvester,<br>
School of Mathematics,<br>
University of Manchester,<br>
Sackville Street,<br>
Manchester M60 1QD,<br>
United Kingdom,<br>
na.silvester@na-net.ornl.gov
</li>
</ul>
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Licensing:
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The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
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Source Code:
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<ul>
<li>
<a href = "deriv.m">deriv.m</a>
evaluates derivatives of bilinear shape functions.
</li>
<li>
<a href = "diffpost_bc.m">diffpost_bc.m</a>
postprocesses local Poisson error estimator.
</li>
<li>
<a href = "diffpost_p.m">diffpost_p.m</a>
computes local Poisson error estimator for Q1 solution.
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<li>
<a href = "diffpost_res.m">diffpost_res.m</a>
computes Q1 element residual error estimator.
</li>
<li>
<a href = "ell_diff.m">ell_diff.m</a>
solve Poisson problem in L-shaped domain.
</li>
<li>
<a href = "femq1_diff.m">femq1_diff.m</a>
vectorized bilinear coefficient matrix generator.
</li>
<li>
<a href = "femq2_diff.m">femq2_diff.m</a>
vectorized biquadratic coefficient matrix generator.
</li>
<li>
<a href = "gauss_source.m">gauss_source.m</a>
evaluates source term at Gauss point.
</li>
<li>
<a href = "helpme_diff.m">helpme_diff.m</a>
diffusion problem interactive help.
</li>
<li>
<a href = "lderiv.m">lderiv.m</a>
evaluates derivatives of linear shape functions.
</li>
<li>
<a href = "localbc_p.m">localbc_p.m</a>
imposes Dirichlet BC for Poisson error estimator.
</li>
<li>
<a href = "lshape.m">lshape.m</a>
evaluates linear shape functions.
</li>
<li>
<a href = "nonzerobc.m">nonzerobc.m</a>
imposes Dirichlet boundary condition.
</li>
<li>
<a href = "q1fluxjmps.m">q1fluxjmps.m</a>
computes flux jumps for rectangular Q1 grid.
</li>
<li>
<a href = "q1res_diff.m">q1res_diff.m</a>
computes interior residuals for rectangular Q1 grid.
</li>
<li>
<a href = "qderiv.m">qderiv.m</a>
evaluates derivatives of biquadratic shape functions.
</li>
<li>
<a href = "qshape.m">qshape.m</a>
evaluates biquadratic shape functions.
</li>
<li>
<a href = "quad_diff.m">quad_diff.m</a>
solve Poisson problem in quadrilateral domain.
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<li>
<a href = "shape.m">shape.m</a>
evaluates bilinear shape functions.
</li>
<li>
<a href = "specific_bc.m">specific_bc.m</a>
(current) problem boundary condition.
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<li>
<a href = "specific_rhs.m">specific_rhs.m</a>
(current) problem forcing function.
</li>
<li>
<a href = "square_diff.m">square_diff.m</a>
solve Poisson problem in unit square domain.
</li>
</ul>
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Subdirectories:
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<ul>
<li>
<a href = "test_problems/test_problems.html">test_problems</a>,
example test problems for the diffusion codes.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../toms866.html">
the TOMS866 page</a>.
</p>
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<i>
Last modified on 16 September 2009.
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