fem2d_poisson_lake/fem2d_poisson_lake.html

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      FEM2D_POISSON_LAKE - A Problem in a Lake-shaped Region for FEM2D_POISSON
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      FEM2D_POISSON_LAKE <br> A Problem in a Lake-shaped Region for FEM2D_POISSON
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    <p>
      <b>FEM2D_POISSON_LAKE</b>
      is a FORTRAN90 library which
      defines the geometry of a lake-shaped region, as well as boundary
      conditions for a given Poisson problem, and is called by FEM2D_POISSON
      as part of a solution procedure.
    </p>

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      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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      Related Data and Programs:
    </h3>

    <p>
      <a href = "../../f_src/fem2d_poisson/fem2d_poisson.html">
      FEM2D_POISSON</a>,
      a FORTRAN90 program which
      solves Poisson's equation on a triangulated region,
      using the finite element method.
    </p>

    <p>
      <a href = "../../f_src/fem2d_poisson_ell/fem2d_poisson_ell.html">
      FEM2D_POISSON_ELL</a>,
      a FORTRAN90 library which
      defines the geometry of an L-shaped region, as well as boundary
      conditions for a given Poisson problem, and is called by FEM2D_POISSON
      as part of a solution procedure.
    </p>

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      Reference:
    </h3>

    <p>
      <ol>
        <li>
          Hans Rudolf Schwarz,<br>
          Methode der Finiten Elemente,<br>
          Teubner Studienbuecher, 1980,<br>
          ISBN: 3-519-02349-0.
        </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.
        </li>
      </ol>
    </p>

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      Source Code:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "lake.f90">lake.f90</a>,
          the user-supplied routines to evaluate the right hand side,
          linear coefficient, and boundary conditions;
        </li>
        <li>
          <a href = "lake.sh">lake.sh</a>,
          commands to compile the user routines, link them with
          the partial program, and run the program;
        </li>
        <li>
          <a href = "lake_nodes.txt">lake_nodes.txt</a>,
          a text file containing a list, for each node, of its X and Y
          coordinates;
        </li>
        <li>
          <a href = "lake_nodes.png">lake_nodes.png</a>,
          a PNG image of the nodes;
        </li>
        <li>
          <a href = "lake_elements.txt">lake_elements.txt</a>,
          a text file containing a list, for each element, of the three
          nodes that compose it;
        </li>
        <li>
          <a href = "lake_elements.png">lake_elements.png</a>,
          a PNG image of the element mesh;
        </li>
      </ul>
    </p>

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      Examples and Tests:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "lake_output.txt">lake_output.txt</a>,
          output from a run of the program;
        </li>
        <li>
          <a href = "lake_solution.txt">lake_solution.txt</a>,
          a text file containing the solution U at each node (X,Y);
        </li>
      </ul>
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      List of Routines:
    </h3>

    <p>
      <ul>
        <li>
          <b>DIRICHLET_CONDITION</b> sets the value of a Dirichlet boundary condition.
        </li>
        <li>
          <b>H_COEF</b> evaluates the coefficient H(X,Y) of DEL U in the Poisson equation.
        </li>
        <li>
          <b>K_COEF</b> evaluates the coefficient K(X,Y) of U in the Poisson equation.
        </li>
        <li>
          <b>RHS</b> gives the right-hand side of the differential equation.
        </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 01 January 2011.
    </i>

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