The High Performance Solution of Sparse Linear Sytems and its Application to Large 3D Electromagnetic Problems.
David Goudin (CEA/DAM/CESTA)
Agnes Pujols (CEA/DAM/CESTA)
Muriel Sesques (CEA/DAM/CESTA)
Michel Mandallena (CEA/DAM/CESTA)
Jean Pesque (CEA/DAM/CESTA)
Bruno Stupfel (CEA/DAM/CESTA)
The numerical treatment of high frequency electromagnetic scattering in inhomogeneous media is very computationally intensive. For scattering, the electromagnetic field must be computed around and inside 3D complex bodies composed of inhomogeneous media. Because of this, accurate numerical methods must be used to solve Maxwell's equations in the frequency domain. In this paper, we consider the hybrid integral equation and the finite element techniques. For some high frequency applications, these numerical approaches lead to linear systems that are too large for current computer architecture. In order to solve these very large systems, typically tens of millions of Degrees Of Freedom (DOF), we have combined modern numerical methods with very efficient parallel algorithms.
Large Scale Simulations in CS&E, Parallel and Distributed Computing, Numerical Algorithms for CS&E