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scripts default icon3D Crouzeix-Raviart mortar finite element method (Scripts) Publisher's description

Software to paper (please cite when using the software)

Software to paper (please cite when using the software)

Leszek Marcinkowski, Talal Rahman and Jan Valdman,
A 3D Crouzeix-Raviart mortar finite element.
Computing 86, No. 4, 313-330 (2009)

download: http://www.springerlink.com/content/p8nx4573480hm98h/?p=31e284c1655141f691369102e361c9a4&pi=1

This solves the Poisson problem
in the domain Omega= (0,1) x (0,1) x (-1,1) assuming
the volume force equal to 3 pi*pi* sin(pi*x) sin(pi*y) sin(pi*z)
and the zero Dirichlet conditions.

The discrete solution is computed on two equal subdomains, Omega1= (0,1) x (0,1) x (0,1),
Omega2= (0,1) x (0,1) x (-1,0)
using 3D Crouzeix-Raviart mortar finite element method.
The subdomains are triangulated using different regular triangulation in tetrahedrons. Therefore, there are no matching grids across the intersection plane z=0.
To "connect" both subdomains solutions, a new interpolation operator is implemented and compared with a classical one.

To test the functionality of the algorithm, run "start.m".

It takes about 2 minutes on my PC to compute a solution on a mesh with 57216 edges. The major obstacle for the faster implementation is the use of matlab function polyxpoly works fine but is too general - it might be replaced by a faster function, which computes an intersection of two triangles in 2D.

System Requirements:

MATLAB 7.5 (R2007b)
Program Release Status: New Release
Program Install Support: Install and Uninstall

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