fem1d_pack/fem1d_pack.html

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      FEM1D_PACK - 1D Finite Element Routines
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      FEM1D_PACK <br> 1D Finite Element Routines
    </h1>

    <hr>

    <p>
      <b>FEM1D_PACK</b>
      is a FORTRAN90 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>

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      Languages:
    </h3>

    <p>
      <b>FEM1D_PACK</b> is available in
      <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 = "../../m_src/fem1d_pack/fem1d_pack.html">a MATLAB version</a>.
    </p>

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      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 = "../../f_src/fem1d/fem1d.html">
      FEM1D</a>,
      a FORTRAN90 program which
      applies the finite element method to a 1D linear two point
      boundary value problem.
    </p>

    <p>
      <a href = "../../f_src/fem1d_adaptive/fem1d_adaptive.html">
      FEM1D_ADAPTIVE</a>,
      a FORTRAN90 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 = "../../f_src/fem1d_bvp_linear/fem1d_bvp_linear.html">
      FEM1D_BVP_LINEAR</a>,
      a FORTRAN90 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 = "../../f_src/fem1d_heat_steady/fem1d_heat_steady.html">
      FEM1D_HEAT_STEADY</a>,
      a FORTRAN90 program which
      uses the finite element method to solve the steady (time independent)
      heat equation in 1D.
    </p>

    <p>
      <a href = "../../f_src/fem1d_nonlinear/fem1d_nonlinear.html">
      FEM1D_NONLINEAR</a>,
      a FORTRAN90 program which
      applies the finite element method to a 1D nonlinear two point
      boundary value problem.
    </p>

    <p>
      <a href = "../../f_src/fem1d_pmethod/fem1d_pmethod.html">
      FEM1D_PMETHOD</a>,
      a FORTRAN90 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 = "../../f_src/fem1d_project/fem1d_project.html">
      FEM1D_PROJECT</a>,
      a FORTRAN90 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 = "../../f_src/fem1d_sample/fem1d_sample.html">
      FEM1D_SAMPLE</a>,
      a FORTRAN90 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 = "../../f_src/fem2d_pack/fem2d_pack.html">
      FEM2D_PACK</a>,
      a FORTRAN90 library which
      contains utilities for 2D finite element calculations.
    </p>

    <p>
      <a href = "../../f_src/fem3d_pack/fem3d_pack.html">
      FEM3D_PACK</a>,
      a FORTRAN90 library which
      contains utilities for 3D finite element calculations.
    </p>

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      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>

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      Source Code:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "fem1d_pack.f90">fem1d_pack.f90</a>, the source code.
        </li>
        <li>
          <a href = "fem1d_pack.sh">fem1d_pack.sh</a>,
          BASH commands to compile the source code.
        </li>
      </ul>
    </p>

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      Examples and Tests:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "fem1d_pack_prb.f90">fem1d_pack_prb.f90</a>,
          a sample calling program.
        </li>
        <li>
          <a href = "fem1d_pack_prb.sh">fem1d_pack_prb.sh</a>,
          BASH commands to compile and run the sample program.
        </li>
        <li>
          <a href = "fem1d_pack_prb_output.txt">fem1d_pack_prb_output.txt</a>,
          the output file.
        </li>
      </ul>
    </p>

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      List of Routines:
    </h3>

    <p>
      <ul>
        <li>
          <b>BANDWIDTH_MESH:</b> bandwidth of finite element mesh.
        </li>
        <li>
          <b>LEGENDRE_SET</b> sets abscissas and weights for Gauss-Legendre quadrature.
        </li>
        <li>
          <b>LOCAL_BASIS_1D</b> evaluates the basis functions in an element.
        </li>
        <li>
          <b>LOCAL_BASIS_PRIME_1D</b> evaluates the basis function derivatives in an element.
        </li>
        <li>
          <b>LOCAL_FEM_1D</b> evaluates a local finite element function.
        </li>
        <li>
          <b>R8_UNIFORM</b> returns a scaled pseudorandom R8.
        </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 = "../f_src.html">
      the FORTRAN90 source codes</a>.
    </p>

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    <i>
      Last revised on 19 March 2011.
    </i>

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