FEM1D_FUNCTION_10_DISPLAY
Display Piecewise Linear 1D Finite Element Function

FEM1D_FUNCTION_10_DISPLAY is a MATLAB program which reads a prefix defining three finite element data files, reads the data, samples the finite element function, and displays a plot.

Usage:

fem1d_function_10_display prefix

• prefix_nodes.txt, the node coordinates.
• prefix_elements.txt, the nodes that make up each element;
• prefix_values.txt, the values defined at each node.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Related Data and Programs:

FEM_NEUMANN, a MATLAB program which sets up a time-dependent reaction-diffusion equation in 1D, with Neumann boundary conditions, discretized using the finite element method.

FEM1D, a data directory which contains examples of 1D FEM files, three text files that describe a 1D finite element model;

FEM1D, a MATLAB program which applies the finite element method to a 1D linear two point boundary value problem.

FEM1D_ADAPTIVE, a MATLAB program which applies the finite element method to a 1D linear two point boundary value problem using adaptive refinement to improve the solution.

FEM1D_DISPLAY, a MATLAB program which reads three files defining a 1D arbitrary degree finite element function, and displays a plot.

FEM1D_NONLINEAR, a MATLAB program which applies the finite element method to a 1D nonlinear two point boundary value problem.

FEM1D_PMETHOD, a MATLAB program which applies the p-method version of the finite element method to a 1D linear two point boundary value problem.

FEM1D_SAMPLE, a MATLAB program which samples a scalar or vector finite element function of one variable, defined by FEM files, returning interpolated values at the sample points.

Reference:

1. Hans Rudolf Schwarz,
   Methode der Finiten Elemente,
   Teubner Studienbuecher, 1980,
   ISBN: 3-519-02349-0.
2. Gilbert Strang, George Fix,
   An Analysis of the Finite Element Method,
   Cambridge, 1973,
   ISBN: 096140888X,
   LC: TA335.S77.
3. Olgierd Zienkiewicz,
   The Finite Element Method,
   Sixth Edition,
   Butterworth-Heinemann, 2005,
   ISBN: 0750663200.

Source Code:

• fem1d_function_10_display.m, the source code.

Examples and Tests:

ARCTAN is an example of a 1D finite element model, using 29 nodes, and piecewise linear elements, in which a scalar value is stored. The exact solution of the problem is the arctangent function. This data was computed by the FEM1D_ADAPTIVE program.

• arctan_nodes.txt
• arctan_elements.txt
• arctan_values.txt
• arctan.png, a PNG image of the MATLAB plot created by FEM1D_FUNCTION_10_DISPLAY.

You can go up one level to the MATLAB source codes.