fem3d_sample


fem3d_sample, a FORTRAN90 code which can evaluate a finite element function of a 3D argument.

The current version of the code can only handle tetrahedral finite element meshes using linear basis functions.

The current version of the code uses a NAIVE search algorithm to locate points within the mesh. It is intended that this search algorithm be replaced by a Delaunay search.

Usage:

fem3d_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 code:

Licensing:

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

Languages:

fem3d_sample is available in a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and codes:

FEM_IO, a FORTRAN90 code which reads or writes node, element and data files defining a finite element model.

FEM1D_SAMPLE, a FORTRAN90 code which samples a scalar or vector finite element function of one variable, defined by FEM files, returning interpolated values at the sample points.

FEM2D_SAMPLE, a FORTRAN90 code which samples a scalar or vector finite element function of 2 variables defined by FEM files, returning interpolated values at the sample points.

FEM3D, a data directory which contains examples of 3D FEM files, three text files that describe a 3D finite element geometry;

FEM3D_PACK, a FORTRAN90 code which contains utilities for 3D finite element calculations.

fem3d_sample_test

HISTOGRAM_DATA_2D_SAMPLE, a FORTRAN90 code 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:

  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:


Last revised on 08 July2 2020.