FEM2D_POISSON_LAKE
A Problem in a Lakeshaped Region for FEM2D_POISSON
FEM2D_POISSON_LAKE
is a FORTRAN90 library which
defines the geometry of a lakeshaped region, as well as boundary
conditions for a given Poisson problem, and is called by FEM2D_POISSON
as part of a solution procedure.
Licensing:
The computer code and data files described and made available on this
web page are distributed under
the GNU LGPL license.
Languages:
FEM2D_POISSON_LAKE is available in
a FORTRAN90 version.
Related Data and Programs:
FEM2D_POISSON,
a FORTRAN90 program which
solves Poisson's equation on a triangulated region,
using the finite element method.
FEM2D_POISSON_ELL,
a FORTRAN90 library which
defines the geometry of an Lshaped region, as well as boundary
conditions for a given Poisson problem, and is called by FEM2D_POISSON
as part of a solution procedure.
Reference:

Hans Rudolf Schwarz,
Methode der Finiten Elemente,
Teubner Studienbuecher, 1980,
ISBN: 3519023490.

Gilbert Strang, George Fix,
An Analysis of the Finite Element Method,
Cambridge, 1973,
ISBN: 096140888X,
LC: TA335.S77.

Olgierd Zienkiewicz,
The Finite Element Method,
Sixth Edition,
ButterworthHeinemann, 2005,
ISBN: 0750663200.
Source Code:

lake.f90,
the usersupplied routines to evaluate the right hand side,
linear coefficient, and boundary conditions;

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 element mesh;
Examples and Tests:
List of Routines:

DIRICHLET_CONDITION sets the value of a Dirichlet boundary condition.

H_COEF evaluates the coefficient H(X,Y) of DEL U in the Poisson equation.

K_COEF evaluates the coefficient K(X,Y) of U in the Poisson equation.

RHS gives the righthand side of the differential equation.
You can go up one level to
the FORTRAN90 source codes.
Last revised on 01 January 2011.