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<html>
<head>
<title>
TWOD - Functions for 2D Finite Elements
</title>
</head>
<body bgcolor="#eeeeee" link="#cc0000" alink="#ff3300" vlink="#000055">
<h1 align = "center">
TWOD <br> Functions for 2D Finite Elements
</h1>
<hr>
<p>
<b>TWOD</b>
is a MATLAB library which
contains functions useful for 2D finite element calculations,
by Jeff Borggaard.
</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>TWOD</b> is available in
<a href = "../../m_src/twod/twod.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../data/fem2d/fem2d.html">
FEM2D</a>,
a data directory which
contains a description of the data files
that can be used to describe a 2D finite element model.
</p>
<p>
<a href = "../../m_src/fem_io/fem_io.html">
FEM_IO</a>,
a MATLAB library which
reads and writes the node, element and data files that define a finite element model.
</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_heat/fem2d_heat.html">
FEM2D_HEAT</a>,
a MATLAB program which
solves the time dependent heat equation in the unit square.
</p>
<p>
<a href = "../../m_src/fem2d_pack/fem2d_pack.html">
FEM2D_PACK</a>,
a MATLAB library which
is useful for 2D finite element calculations.
</p>
<p>
<a href = "../../m_src/fem2d_poisson/fem2d_poisson.html">
FEM2D_POISSON</a>,
a MATLAB program which
solves the Poisson equation in the unit square.
</p>
<p>
<a href = "../../m_src/fem2d_poisson_rectangle_linear/fem2d_poisson_rectangle_linear.html">
FEM2D_POISSON_RECTANGLE_LINEAR</a>,
a MATLAB program which
solves the 2D Poisson equation on a rectangle, using the finite element method,
and piecewise linear triangular elements.
</p>
<p>
<a href = "../../m_src/fem2d_project/fem2d_project.html">
FEM2D_PROJECT</a>,
a MATLAB program which
projects a function F(X,Y) into a given finite element space
of piecewise linear triangular elements.
</p>
<p>
<a href = "../../m_src/fem2d_sample/fem2d_sample.html">
FEM2D_SAMPLE</a>,
a MATLAB library which
evaluates a finite element function defined on an order 3 or order 6 triangulation.
</p>
<p>
<a href = "../../m_src/fem3d_pack/fem3d_pack.html">
FEM3D_PACK</a>,
a MATLAB library which
contains utilities for 3D finite element calculations.
</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_plotc/twod_plotc.html">
TWOD_PLOTC</a>,
a MATLAB program which
makes a color contour plot of scalar data defined on a 2D finite element mesh.
</p>
<p>
<a href = "../../m_src/twod_to_vtk/twod_to_vtk.html">
TWOD_TO_VTK</a>,
a MATLAB program which
accepts computational data from a 2D finite element fluid flow program
and writes it to a VTK "legacy" file for postprocessing by PARAVIEW.
</p>
<p>
<a href = "../../m_src/twod_to_vtu/twod_to_vtu.html">
TWOD_TO_VTU</a>,
a MATLAB program which
accepts computational data from a 2D finite element fluid flow program
and writes it to a VTK unstructured grid file for postprocessing by PARAVIEW.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Jeff Borggaard, Virginia Tech.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "twod_backm2d.m">twod_backm2d.m</a>
calculates a mesh density function and generates
a backm2d file readable by amiral.
</li>
<li>
<a href = "twod_bilinear.m">twod_bilinear.m</a>
integrates kernel(x,y) * basis function(x,y) * test function(x,y).
</li>
<li>
<a href = "twod_f_int.m">twod_f_int.m</a>
computes the integral of f(x,y) times a test function.
</li>
<li>
<a href = "twod_gauss.m">twod_gauss.m</a>
sets Gauss integration points for triangular elements.
</li>
<li>
<a href = "twod_getfaces.m">twod_getfaces.m</a>
finds element faces corresponding to
a set of boundary nodes.
</li>
<li>
<a href = "twod_mesh.m">twod_mesh.m</a>
generates a rectangular mesh with a prescribed density.
This routine returns nodal coordinates, element
connectivity, and the nodal indices of boundary nodes.
</li>
<li>
<a href = "twod_plotc.m">twod_plotc.m</a>
produces a filled contour plot of triangular
finite element data.
</li>
<li>
<a href = "twod_plotm1.m">twod_plotm1.m</a>
plots linear triagular mesh.
Also works for quadratic straight sided elements.
</li>
<li>
<a href = "twod_plotm2.m">twod_plotm2.m</a>
plots linear triagular mesh.
Also works for quadratic straight sided elements.
</li>
<li>
<a href = "twod_projectd.m">twod_projectd.m</a>,
projects the derivative onto the
continuous finite element space (ZZ projection).
</li>
<li>
<a href = "twod_readcad5out.m">twod_readcad5out.m</a>
reads in solution data from a *.cad5out file
generated with cadyf.
This code is quite problem specific, since the
*.cad5out file is setup to solve the Navier-Stokes
equations.
</li>
<li>
<a href = "twod_readcadyf.m">twod_readcadyf.m</a>
reads in mesh, connectivity and boundary node
numbers from a *.cadyf file generated with
amiral (preprocessor for cadyf).
This code is quite problem specific, since the
*.cadyf file is setup to solve the Navier-Stokes
equations.
</li>
<li>
<a href = "twod_readcadyf1.m">twod_readcadyf1.m</a>
reads in mesh, connectivity and boundary node
numbers from a *.cadyf file generated with
amiral (preprocessor for cadyf).
This code is quite problem specific, since the
*.cadyf file is set up to solve the Navier-Stokes
equations.
</li>
<li>
<a href = "twod_shape.m">twod_shape.m</a>
computes test functions and derivatives on an
element given element coordinates and Gauss points.
Optimized for straight-sided elements. Use
"twod_shapeiso" for isoparametric elements.
</li>
<li>
<a href = "twod_shapeiso.m">twod_shapeiso.m</a>
computes test functions and derivatives on an
element given element coordinates and Gauss points.
Specifically set up for isoparametric
elements. Use "twod_shape" for linear elements.
</li>
<li>
<a href = "twod_to_tecplot.m">twod_to_tecplot.m</a>
writes out a 2D finite element solution to a file, in a format
readable by TECPLOT.
</li>
<li>
<a href = "twod_to_vu.m">twod_to_vu.m</a>
writes out a 2D finite element solution to a file, in a format
readable by Vu.
</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 modified on 05 September 2009.
</i>
<!-- John Burkardt -->
</body>
</html>