FEM2D_BVP_SERENE
Finite Element Method, 2D, Boundary Value Problem, Serendipity Elements


FEM2D_BVP_SERENE is a FORTRAN90 program which applies the finite element method, with serendipity elements, to a 2D boundary value problem over a rectangle.

The boundary value problem (BVP) that is to be solved has the form:

        - d/dx ( a(x,y) * du/dx ) - d/dy ( a(x,y) * du/dy ) + c(x,y) * u(x,y) = f(x,y)
      
This equation holds in the interior of some rectangle R. The functions a(x,y), c(x,y), and f(x,y) are given.

Zero boundary conditions are imposed on the boundary of R.

The MATLAB "gallery()" command can produce a copy of the Wathen matrix, which arises as a weighted sum of elementary mass matrices associated with a grid of serendipity elements.

Licensing:

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

Languages:

FEM2D_BVP_SERENE is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

FEM2D_BVP_LINEAR, a FORTRAN90 program which applies the finite element method (FEM), with piecewise linear elements, to a 2D boundary value problem (BVP) over a rectangle, and compares the computed and exact solutions with the L2 and seminorm errors.

FEM2D_BVP_QUADRATIC, a FORTRAN90 program which applies the finite element method (FEM), with piecewise quadratic elements, to a 2D boundary value problem (BVP) over a rectangle, and compares the computed and exact solutions with the L2 and seminorm errors.

WATHEN, a FORTRAN90 library which compares storage schemes (full, banded, sparse triplet, sparse) and solution strategies (A\x, Linpack, conjugate gradient (CG)) for linear systems involving the Wathen matrix, which can arise when solving a problem using the finite element method (FEM).

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN90 source codes.


Last revised on 01 July 2014.