Title :
Optimized Schwarz Algorithms for Solving Time-Harmonic Maxwell´s Equations Discretized by a Discontinuous Galerkin Method
Author :
Dolean, Victorita ; Lanteri, Stéphane ; Perrussel, Ronan
Author_Institution :
J. A. Dieudonne Math. Lab., Univ. of Nice-Sophia Antipolis, Nice
fDate :
6/1/2008 12:00:00 AM
Abstract :
The numerical solution of the three-dimensional time-harmonic Maxwell equations using high order methods such as discontinuous Galerkin formulations require efficient solvers. A domain decomposition strategy is introduced for this purpose. This strategy is based on optimized Schwarz methods applied to the first order form of the Maxwell system and leads to the best possible convergence of these algorithms. The principles are explained for a 2D model problem and numerical simulations confirm the predicted theoretical behavior. The efficiency is further demonstrated on more realistic 3D geometries including a bioelectromagnetism application.
Keywords :
Galerkin method; Maxwell equations; electromagnetic wave propagation; geometry; optimisation; 2D model problem; 3D geometry; bioelectromagnetism application; discontinuous Galerkin method; domain decomposition strategy; numerical simulations; optimized Schwarz algorithms; three-dimensional time-harmonic Maxwell equations; time-harmonic electromagnetic wave propagation; Discontinuous Galerkin methods; domain decomposition methods; optimized interface conditions;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2008.915830