FEM2D_POISSON_ELL
A Problem in an L-shaped Region for FEM2D_POISSON

FEM2D_POISSON_ELL is a MATLAB library which sets up the geometry and data for the Poisson problem in the "Ell" region. The problem is then suitable for solution by fem2d_poisson.

This mesh, which uses 65 nodes, was created by starting with a crude mesh, and having it refined by TRIANGULATION_REFINE and renumbered by TRIANGULATION_RCM.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Related Data and Programs:

FEM2D_POISSON, a MATLAB program which solves Poisson's equation on a triangulated region, using the finite element method. In order to run, it requires user-supplied routines that define problem data.

Source Code:

• dirichlet_condition.m, defines the Dirichlet boundary condition values.
• h_coef.m, defines the coefficient function H(X).
• k_coef.m, defines the coefficient function K(X).
• rhs.m, defines the right hand side function.
• ell_output.txt, output from a run of the program;
• ell_nodes.txt, a text file containing a list, for each node, of its X and Y coordinates;
• ell_nodes.png, a PNG image of the nodes;
• ell_elements.txt, a text file containing a list, for each element, of the three nodes that compose it;
• ell_elements.png, a PNG image of the element mesh;
• ell_solution.txt, a text file containing the solution U at each node (X,Y);

You can go up one level to the MARTLAB source code page.