# FEM1D_FUNCTION_10_DISPLAY Display Piecewise Linear 1D Finite Element Function

FEM1D_FUNCTION_10_DISPLAY, 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
where prefix is the common prefix for the files:
• 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.

### Languages:

FEM1D_FUNCTION_10_DISPLAY is available in a MATLAB version.

### 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.