fem3d_pack

fem3d_pack, a C++ code which contains utilities 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.

Related Data and Programs:

fem3d_pack_test

fem_basis, a C++ 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 C++ code which contains utilities for 1D finite element calculations.

fem2d_pack, a C++ 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_project, a C++ code which projects a function F(X,Y,Z), given as a data, into a given finite element space of piecewise linear tetrahedral elements.

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

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:

• fem3d_pack.cpp, the source code.
• fem3d_pack.sh, compiles the source code.
• fem3d_pack.hpp, the include file.