fem1d_function_10_display

fem1d_function_10_display, a MATLAB code 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 MIT license

Languages:

fem1d_function_10_display is available in a MATLAB version.

Related Data and Programs:

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

fem1d_adaptive, a MATLAB code 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 code which reads three files defining a 1d arbitrary degree finite element function, and displays a plot.

fem1d_display_function_10_test

fem1d_nonlinear, a MATLAB code which applies the finite element method to a 1d nonlinear two point boundary value problem.

fem1d_pmethod, a MATLAB code which applies the p-method version of the finite element method to a 1d linear two point boundary value problem.

fem1d_sample, a MATLAB code 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.

Last modified on 20 January 2019.