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<html>
<head>
<title>
FEM3D_PACK - 3D Finite Element Method Utility Library
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FEM3D_PACK <br> 3D Finite Element Method Utility Library
</h1>
<hr>
<p>
<b>FEM3D_PACK</b>
is a MATLAB library which
contains utility routines for 3D finite element calculations.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>FEM3D_PACK</b> is available in
<a href = "../../cpp_src/fem3d_pack/fem3d_pack.html">a C++ version</a> and
<a href = "../../f_src/fem3d_pack/fem3d_pack.html">a FORTRAN90 version</a> and
<a href = "../../m_src/fem3d_pack/fem3d_pack.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/fem_basis/fem_basis.html">
FEM_BASIS</a>,
a MATLAB library 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.)
</p>
<p>
<a href = "../../m_src/fem1d_pack/fem1d_pack.html">
FEM1D_PACK</a>,
a MATLAB library which
contains utilities for 1D finite element calculations.
</p>
<p>
<a href = "../../m_src/fem2d_pack/fem2d_pack.html">
FEM2D_PACK</a>,
a MATLAB library which
contains utilities for 2D finite element calculations.
</p>
<p>
<a href = "../../data/fem3d/fem3d.html">
FEM3D</a>,
a data directory which
contains examples of 3D FEM files,
three text files that describe a 3D finite element geometry;
</p>
<p>
<a href = "../../m_src/fem3d_project/fem3d_project.html">
FEM3D_PROJECT</a>,
a MATLAB program which
projects a function F(X,Y,Z), given as a data, into a given finite element space
of piecewise linear tetrahedral elements.
</p>
<p>
<a href = "../../m_src/fem3d_sample/fem3d_sample.html">
FEM3D_SAMPLE</a>,
a MATLAB program which
evaluates a finite element function defined on 3D tetrahedral mesh.
</p>
<p>
<a href = "../../m_src/oned/oned.html">
ONED</a>,
a MATLAB library which
contains functions useful for 1D finite element calculations.
</p>
<p>
<a href = "../../m_src/threed/threed.html">
THREED</a>,
a MATLAB library which
contains functions useful for 3D finite element calculations.
</p>
<p>
<a href = "../../m_src/twod/twod.html">
TWOD</a>,
a MATLAB library which
contains functions useful for 2D finite element calculations.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Claudio Rocchini, Paolo Cignoni,<br>
Generating Random Points in a Tetrahedron,<br>
Journal of Graphics Tools,<br>
Volume 5, Number 4, 2000, pages 9-12.
</li>
<li>
Reuven Rubinstein,<br>
Monte Carlo Optimization, Simulation and Sensitivity of
Queueing Networks,<br>
Krieger, 1992,<br>
ISBN: 0894647644,<br>
LC: QA298.R79.
</li>
<li>
Gilbert Strang, George Fix,<br>
An Analysis of the Finite Element Method,<br>
Cambridge, 1973,<br>
ISBN: 096140888X,<br>
LC: TA335.S77.
</li>
<li>
Olgierd Zienkiewicz,<br>
The Finite Element Method,<br>
Sixth Edition,<br>
Butterworth-Heinemann, 2005,<br>
ISBN: 0750663200,<br>
LC: TA640.2.Z54.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "bandwidth_mesh.m">bandwidth_mesh.m</a>,
bandwidth of finite element mesh.
</li>
<li>
<a href = "bandwidth_var.m">bandwidth_var.m</a>,
determines the bandwidth for finite element variables.
</li>
<li>
<a href = "basis_brick8.m">basis_brick8.m</a>,
evaluates basis functions for a BRICK8 element.
</li>
<li>
<a href = "basis_brick8_test.m">basis_brick8_test.m</a>,
tests BASIS_BRICK8.
</li>
<li>
<a href = "basis_brick20.m">basis_brick20.m</a>,
evaluates basis functions for a BRICK20 element.
</li>
<li>
<a href = "basis_brick20_test.m">basis_brick20_test.m</a>,
tests BASIS_BRICK20.
</li>
<li>
<a href = "basis_brick27.m">basis_brick27.m</a>,
evaluates basis functions for a BRICK27 element.
</li>
<li>
<a href = "basis_brick27_test.m">basis_brick27_test.m</a>,
tests BASIS_BRICK27.
</li>
<li>
<a href = "basis_mn_tet4.m">basis_mn_tet4.m</a>,
all bases at N points for a TET4 element.
</li>
<li>
<a href = "basis_mn_tet4_test.m">basis_mn_tet4_test.m</a>,
verifies BASIS_MN_TET4.
</li>
<li>
<a href = "basis_mn_tet10.m">basis_mn_tet10.m</a>,
all bases at N points for a TET10 element.
</li>
<li>
<a href = "basis_mn_tet10_test.m">basis_mn_tet10_test.m</a>,
verifies BASIS_MN_TET10.
</li>
<li>
<a href = "nodes_brick8.m">nodes_brick8.m</a>,
returns the nodes of the BRICK8 element.
</li>
<li>
<a href = "nodes_brick20.m">nodes_brick20.m</a>,
returns the nodes of the BRICK20 element.
</li>
<li>
<a href = "nodes_brick27.m">nodes_brick27.m</a>,
returns the nodes of the BRICK27 element.
</li>
<li>
<a href = "physical_to_reference_tet4.m">physical_to_reference_tet4.m</a>,
maps TET4 physical points to reference points.
</li>
<li>
<a href = "r8mat_det_4d.m">r8mat_det_4d.m</a>
computed the determinant of a 4x4 R8MAT.
</li>
<li>
<a href = "r8mat_solve.m">r8mat_solve.m</a>
uses Gauss-Jordan elimination to solve an N by N linear system.
</li>
<li>
<a href = "r8mat_uniform_01.m">r8mat_uniform_01.m</a>,
returns a unit pseudorandom R8MAT.
</li>
<li>
<a href = "r8vec_uniform_01.m">r8vec_uniform_01.m</a>,
returns a unit pseudorandom R8VEC.
</li>
<li>
<a href = "reference_tet4_sample.m">reference_tet4_sample.m</a>,
returns nonuniform sample points from the reference tetrahedron.
</li>
<li>
<a href = "reference_tet4_uniform.m">reference_tet4_uniform.m</a>,
returns uniform sample points from the reference tetrahedron.
</li>
<li>
<a href = "reference_tet4_uniform2.m">reference_tet4_uniform2.m</a>,
returns uniform sample points from the reference tetrahedron.
</li>
<li>
<a href = "reference_to_physical_tet4.m">reference_to_physical_tet4.m</a>,
maps TET4 reference points to physical points.
</li>
<li>
<a href = "tetrahedron_barycentric.m">
tetrahedron_barycentric.m</a>
computes the barycentric coordinates of a point with respect to a tetrahedron.
</li>
<li>
<a href = "tetrahedron_volume.m">tetrahedron_volume.m</a>
computes the volume of a tetrahedron.
</li>
<li>
<a href = "timestamp.m">timestamp.m</a>,
prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "fem3d_pack_test.m">fem3d_pack_test.m</a>,
a sample calling program.
</li>
<li>
<a href = "fem3d_pack_test03.m">fem3d_pack_test03.m</a>,
tests REFERENCE_TO_PHYSICAL_TET4 and PHYSICAL_TO_REFERENCE_TET4.
</li>
<li>
<a href = "fem3d_pack_prb_output.txt">fem3d_pack_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 02 March 2010.
</i>
<!-- John Burkardt -->
</body>
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</html>