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fem1d_lagrange.html
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<html>
<head>
<title>
FEM1D_LAGRANGE - 1D Finite Element Code Using Lagrange Basis Polynomials
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FEM1D_LAGRANGE <br> 1D Finite Element Code Using Lagrange Basis Polynomials
</h1>
<hr>
<p>
<b>FEM1D_LAGRANGE</b>
is a C++ library which
sets up the matrices and vectors associated with the finite element
method (FEM) solution of a boundary value problem (BVP) -u''+u=f(x),
using Lagrange basis polynomials.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files 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_LAGRANGE</b> is available in
<a href = "../../c_src/r8lib/r8lib.html">a C version</a> and
<a href = "../../cpp_src/r8lib/r8lib.html">a C++ version</a> and
<a href = "../../f77_src/r8lib/r8lib.html">a FORTRAN77 version</a> and
<a href = "../../f_src/r8lib/r8lib.html">a FORTRAN90 version</a> and
<a href = "../../m_src/r8lib/r8lib.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Programs:
</h3>
<p>
<a href = "../../cpp_src/fem1d/fem1d.html">
FEM1D</a>,
a C++ program which
applies the finite element method (FEM) to a 1D linear two point
boundary value problem (BVP).
</p>
<p>
<a href = "../../cpp_src/lagrange_interp_1d/lagrange_interp_1d.html">
LAGRANGE_INTERP_1D</a>,
a C++ library which
defines and evaluates the Lagrange polynomial p(x)
which interpolates a set of data, so that p(x(i)) = y(i).
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "fem1d_lagrange.cpp">fem1d_lagrange.cpp</a>, the source code.
</li>
<li>
<a href = "fem1d_lagrange.hpp">fem1d_lagrange.hpp</a>, the include file.
</li>
<li>
<a href = "fem1d_lagrange.sh">fem1d_lagrange.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "fem1d_lagrange_prb.cpp">fem1d_lagrange_prb.cpp</a>,
a sample calling program.
</li>
<li>
<a href = "fem1d_lagrange_prb.sh">fem1d_lagrange_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "fem1d_lagrange_prb_output.txt">fem1d_lagrange_prb_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>FEM1D_LAGRANGE_STIFFNESS</b> evaluates the Lagrange polynomial stiffness matrix.
</li>
<li>
<b>LAGRANGE_DERIVATIVE</b> evaluates the Lagrange basis derivative.
</li>
<li>
<b>LAGRANGE_VALUE</b> evaluates the Lagrange basis polynomials.
</li>
<li>
<b>LEGENDRE_SET</b> sets abscissas and weights for Gauss-Legendre quadrature.
</li>
<li>
<b>R8MAT_FS</b> factors and solves a system with one right hand side.
</li>
<li>
<b>R8VEC_LINSPACE</b> creates a vector of linearly spaced values.
</li>
<li>
<b>R8VEC_PRINT</b> prints an R8VEC.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 19 November 2014.
</i>
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