fem2d_poisson_cg_lake

fem2d_poisson_cg_lake, a Fortran90 code 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_cg() as part of a solution procedure.

Licensing:

This code is distributed under the MIT license.

Languages:

fem2d_poisson_cg_lake is available in a C++ version and a Fortran90 version and a MATLAB version.

Related Data and Programs:

fem2d_poisson_cg, a Fortran90 code which solves Poisson's equation on a triangulated region, using the finite element method, sparse storage, and a conjugate gradient solver.

fem2d_poisson_cg_baffle, a Fortran90 code which defines the geometry of a channel with 13 hexagonal baffles, as well as boundary conditions for a given Poisson problem, and is called by fem2d_poisson_cg as part of a solution procedure.

fem2d_poisson_cg_ell, a Fortran90 code 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_cg as part of a solution procedure.

Reference:

1. Hans Rudolf Schwarz,
   Methode der Finiten Elemente,
   Teubner Studienbuecher, 1980,
   ISBN: 3-519-02349-0.
2. Gilbert Strang, George Fix,
   An Analysis of the Finite Element Method,
   Cambridge, 1973,
   ISBN: 096140888X,
   LC: TA335.S77.
3. Olgierd Zienkiewicz,
   The Finite Element Method,
   Sixth Edition,
   Butterworth-Heinemann, 2005,
   ISBN: 0750663200.

Source Code:

• lake.f90, the user-supplied routines to evaluate the right hand side, linear coefficient, and boundary conditions;
• lake.sh, runs all the tests;
• lake_nodes.txt, a text file containing a list, for each node, of its X and Y coordinates;
• lake_nodes.png, a PNG image of the nodes.
• lake_elements.txt, a text file containing a list, for each element, of the three nodes that compose it;
• lake_elements.png, a PNG image of the elements.

• lake.txt, the output file.
• lake_values.txt, a text file containing the solution U at each node (X,Y);