A domain decomposition method for the parallelization of a three-dimensional Maxwell solver based on a constrained formulation

Authors:
Franck Assous;J. Segré;E. Sonnendrücker
Affiliations:
Ariel University Center, Ariel, Israel and Bar-Ilan University, 52900 Ramat-Gan, Israel;CEA-Saclay, DEN/DM2S/SFME, France;Institut de Recherche Mathématique Avancée (IRMA), CNRS-Université Louis Pasteur, Strasbourg, France
Venue:
Mathematics and Computers in Simulation
Year:
2011

Citing 9
Cited 0

A new family of mixed finite elements in IR3

Numerische Mathematik
An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems

SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
Two coupled particle–finite volume methods using Delaunay-Voronoi¨ meshes for the approximation of Vlasov-Poisson and Vlasov-Maxwell equations

Journal of Computational Physics
On a finite-element method for solving the three-dimensional Maxwell equations

Journal of Computational Physics
Numerical approximation of the Maxwell equations in inhomogeneous media by a P1 conforming finite element method

Journal of Computational Physics
Some Nonoverlapping Domain Decomposition Methods

SIAM Review
Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method

Journal of Computational Physics
Parallel multigrid 3D Maxwell solvers

Parallel Computing
Plasma Physics Via Computer

Plasma Physics Via Computer

Quantified Score

Hi-index	0.00

Visualization

Abstract

Abstract: The numerical solution of very large three-dimensional electromagnetic field problems are challenging for various applications in the industry. In this paper, we propose a nonoverlapping domain decomposition approach for solving the three-dimensional Maxwell equations on MIMD computers, based on a mixed variational formulation. It is especially well adapted for the solution of the Vlasov-Maxwell equations, widely used to simulate complex devices like particle injectors or accelerators. This approach has the important property that it leads to reuse without modification most of an existing sequential code. The continuity at the interfaces is imposed by duality using Lagrange multipliers. Hence, the resulting parallel algorithm requires only to add an external preconditioned Uzawa solver. We present the results of some numerical experiments on a parallel distributed memory machine.