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FEM2D_SAMPLE\ Evaluate a Finite Element Function of a 2D Argument {#fem2d_sample-evaluate-a-finite-element-function-of-a-2d-argument align=”center”} ===================================================


FEM2D_SAMPLE is a C++ program which can evaluate a finite element function of a 2D argument.

The current version of the program can only handle finite element meshes which are made of piecewise linear triangles of order 3 or 6.

Usage: {#usage align=”center”}

fem2d_sample fem_prefix sample_prefix

where fem_prefix is the common prefix for the FEM files:

and sample_prefix is the common prefix for the SAMPLE files, for which the node file is input, and the values file is created by the program:

Licensing: {#licensing align=”center”}

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

Languages: {#languages align=”center”}

FEM2D_SAMPLE is available in a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

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

FEM2D, a data directory which contains examples of 2D FEM files, three text files that describe a 2D finite element geometry;

FEM2D_HEAT, a C++ program which solves the time dependent heat equation in the unit square.

FEM2D_PACK, a C++ library which includes utitlies for 2D finite element calculations.

FEM2D_POISSON, a C++ program which solves Poisson’s equation on a square, using the finite element method.

FEM2D_POISSON_LINEAR, a C++ program which solves the 2D Poisson equation on a rectangle, using the finite element method, and piecewise linear triangular elements.

FEM2D_PROJECT, a C++ program which projects a function F(X,Y) into a given finite element space of piecewise linear triangular elements.

FEM3D_SAMPLE, a C++ program which evaluates a finite element function defined on 3D tetrahedral mesh.

HISTOGRAM_DATA_2D_SAMPLE, a C++ program which demonstrates how to construct a Probability Density Function (PDF) from a frequency table over a 2D domain, and then to use that PDF to create new samples.

Reference: {#reference align=”center”}

  1. Hans Rudolf Schwarz,\ Finite Element Methods,\ Academic Press, 1988,\ ISBN: 0126330107,\ LC: TA347.F5.S3313.
  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,\ LC: TA640.2.Z54.

Source Code: {#source-code align=”center”}

Examples and Tests: {#examples-and-tests align=”center”}

SQ is FEM data for the function f(x,y)=x\^2+y\^2, on a 5x5 grid of nodes, organized into linear triangles. The sample data seeks the values of this function on a 4x4 evenly spaced grid.

List of Routines: {#list-of-routines align=”center”}

You can go up one level to the C++ source codes.


Last revised on 08 August 2009.