fem3d_pack


fem3d_pack, a Fortran90 code which contains utility routines for 3D finite element method (FEM) calculations.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

fem3d_pack is available in a C++ version and a Fortran90 version and a MATLAB version and an Octave version.

Related Data and codes:

fem3d_pack_test

fem_basis, a Fortran90 code which can define and evaluate basis functions for any degree in an M-dimensional simplex (1D interval, 2D triangle, 3D tetrahedron, and higher dimensional generalizations.)

fem1d_pack, a Fortran90 code which contains utilities for 1D finite element calculations.

fem2d_pack, a Fortran90 code which contains utilities for finite element calculations.

fem3d, a data directory which contains examples of 3D FEM files, three text files that describe a 3D finite element geometry;

fem3d_sample, a Fortran90 code which evaluates a finite element function defined on 3D tetrahedral mesh.

simplex_gm_rule, a Fortran90 code which defines Grundmann-Moeller rules for quadrature over a triangle, tetrahedron, or general M-dimensional simplex.

tet_mesh, a Fortran90 code which carries out various operations on tetrahedral meshes.

tet_mesh_order4, a data directory which contains a description of a linear tet mesh of a set of 3D points, using a pair of files to list the node coordinates and the 4 nodes that make up each tetrahedron;

tet_mesh_order4, a dataset directory which contains examples of order 4 tetrahedral meshes.

tet_mesh_order10, a data directory which contains a description of a quadratic tet mesh of a set of 3D points, using a pair of files to list the node coordinates and the 10 nodes that make up each tetrahedron;

tet_mesh_order10, a dataset directory which contains examples of order 10 tetrahedral meshes.

tetrahedron_keast_rule, a Fortran90 code which defines a number of quadrature rules for a tetrahedron.

Reference:

  1. Claudio Rocchini, Paolo Cignoni,
    Generating Random Points in a Tetrahedron,
    Journal of Graphics Tools,
    Volume 5, Number 4, 2000, pages 9-12.
  2. Reuven Rubinstein,
    Monte Carlo Optimization, Simulation and Sensitivity of Queueing Networks,
    Krieger, 1992,
    ISBN: 0894647644,
    LC: QA298.R79.
  3. Gilbert Strang, George Fix,
    An Analysis of the Finite Element Method,
    Cambridge, 1973,
    ISBN: 096140888X,
    LC: TA335.S77.
  4. Olgierd Zienkiewicz,
    The Finite Element Method,
    Sixth Edition,
    Butterworth-Heinemann, 2005,
    ISBN: 0750663200,
    LC: TA640.2.Z54.

Source Code:


Last revised on 08 July 2020.