fem3d_pack


fem3d_pack, a FORTRAN90 code which contains utility routines for 3D finite element calculations.

Licensing:

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

Languages:

fem3d_pack is available in a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and codes:

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_pack_test

FEM3D_SAMPLE, a FORTRAN90 code which evaluates a finite element function defined on 3D tetrahedral mesh.

GM_RULE, a FORTRAN90 code which defines Grundmann-Moeller rules for quadrature over a triangle, tetrahedron, or general M-dimensional simplex.

KEAST, a FORTRAN90 code which defines a number of quadrature rules for a tetrahedron.

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.

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.