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# 3D Crouzeix-Raviart mortar finite element method

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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)

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.

Publisher: Jan Valdman | License: Shareware
Version: 1.0 | Size: 31 KB | Platform: Matlab, Scripts
Released Date: 06-02-2013 | Rating: 0 | Title: 3D Crouzeix-Raviart mortar finite element method

Author Url: http://www.mathworks.com
Program Info Url: http://www.mathworks.com

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3D Crouzeix-Raviart mortar finite element method keywords:

Edges generation - Given a conforming triangulation as as matrix of vertices numbers corresponding to each triangular element

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