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<html>
<head>
<title>
FEM1D_PACK - 1D Finite Element Routines
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FEM1D_PACK <br> 1D Finite Element Routines
</h1>
<hr>
<p>
<b>FEM1D_PACK</b>
is a MATLAB library which
contains utilities for implementing the finite element method
in a 1D region.
</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>FEM1D_PACK</b> is available in
<a href = "../../c_src/fem1d_pack/fem1d_pack.html">a C version</a> and
<a href = "../../cpp_src/fem1d_pack/fem1d_pack.html">a C++ version</a> and
<a href = "../../f_src/fem1d_pack/fem1d_pack.html">a FORTRAN90 version</a> and
<a href = "../../f77_src/fem1d_pack/fem1d_pack.html">a FORTRAN77 version</a> and
<a href = "../../m_src/fem1d_pack/fem1d_pack.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../data/fem1d/fem1d.html">
FEM1D</a>,
a data directory which
contains examples of 1D FEM files,
text files that describe a 1D finite element model
and associated nodal values.
</p>
<p>
<a href = "../../m_src/fem1d/fem1d.html">
FEM1D</a>,
a MATLAB program which
applies the finite element method to a 1D linear two point
boundary value problem.
</p>
<p>
<a href = "../../m_src/fem1d_adaptive/fem1d_adaptive.html">
FEM1D_ADAPTIVE</a>,
a MATLAB program which
applies the finite element method to a 1D linear two point
boundary value problem
using adaptive refinement to improve the solution.
</p>
<p>
<a href = "../../m_src/fem1d_bvp_linear/fem1d_bvp_linear.html">
FEM1D_BVP_LINEAR</a>,
a MATLAB program which
applies the finite element method, with piecewise linear elements,
to a two point boundary value problem in one spatial dimension.
</p>
<p>
<a href = "../../m_src/fem1d_display/fem1d_display.html">
FEM1D_DISPLAY</a>,
a MATLAB program which
reads three files defining a 1D arbitrary degree finite element function,
and displays a plot.
</p>
<p>
<a href = "../../m_src/fem1d_function_10_display/fem1d_function_10_display.html">
FEM1D_FUNCTION_10_DISPLAY</a>,
a MATLAB program which
reads three files defining a 1D piecewise linear finite element function
and displays a plot.
</p>
<p>
<a href = "../../m_src/fem1d_nonlinear/fem1d_nonlinear.html">
FEM1D_NONLINEAR</a>,
a MATLAB program which
applies the finite element method to a 1D nonlinear two point
boundary value problem.
</p>
<p>
<a href = "../../m_src/fem1d_pmethod/fem1d_pmethod.html">
FEM1D_PMETHOD</a>,
a MATLAB program which
applies the p-method version of the finite element method to a 1D linear
two point boundary value problem.
</p>
<p>
<a href = "../../m_src/fem1d_project/fem1d_project.html">
FEM1D_PROJECT</a>,
a MATLAB program which
projects data into a finite element space, including the least squares
approximation of data, or the projection of a finite element solution
from one mesh to another.
</p>
<p>
<a href = "../../m_src/fem1d_sample/fem1d_sample.html">
FEM1D_SAMPLE</a>,
a MATLAB program which
samples a scalar or vector finite element function of one variable,
defined by FEM files,
returning interpolated values at the sample points.
</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 = "../../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/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>
Hans Rudolf Schwarz,<br>
Finite Element Methods,<br>
Academic Press, 1988,<br>
ISBN: 0126330107,<br>
LC: TA347.F5.S3313.
</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>
computes the bandwidth associated with the finite element mesh;
</li>
<li>
<a href = "legendre_com.m">legendre_com.m</a>
computes abscissas and weights for Gauss-Legendre quadrature.
</li>
<li>
<a href = "local_basis_1d.m">local_basis_1d.m</a>
evaluates the basis functions in an element.
</li>
<li>
<a href = "local_basis_prime_1d.m">local_basis_prime_1d.m</a>
evaluates the basis function derivatives in an element.
</li>
<li>
<a href = "local_fem_1d.m">local_fem_1d.m</a>
evaluates a local finite element function.
</li>
<li>
<a href = "r8_uniform_ab.m">r8_uniform_ab.m</a>
returns a pseudorandom R8 in [A,B].
</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 = "fem1d_pack_test.m">fem1d_pack_test.m</a>,
runs all the tests;
</li>
<li>
<a href = "fem1d_pack_test01.m">fem1d_pack_test01.m</a>,
tests LOCAL_BASIS_1D.
</li>
<li>
<a href = "fem1d_pack_test02.m">fem1d_pack_test02.m</a>,
tests LOCAL_BASIS_PRIME_1D.
</li>
<li>
<a href = "fem2d_pack_test_output.txt">fem2d_pack_test_output.txt</a>,
the output from the tests.
</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 18 March 2011.
</i>
<!-- John Burkardt -->
</body>
</html>