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
where prefix is the common prefix for the files:

Licensing:

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

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.

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.

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


Last revised on 12 February 2010.