A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods

Victorita Dolean (1) , Stephane Lanteri (2) , Ronan Perrussel (3)

1 JAD - Laboratoire Jean Alexandre Dieudonné
2 CAIMAN - Scientific computing, modeling and numerical analysis
3 AMPERE - Ampère

We present here a domain decomposition method for solving the three-dimen\-sional time-harmonic Maxwell equations discretized by a discontinuous Galerkin method. In order to allow the treatment of irregularly shaped geometries, the discontinuous Galerkin method is formulated on unstructured tetrahedral meshes. The domain decomposition strategy takes the form of a Schwarz-type algorithm where a first-order absorbing condition is imposed at the interfaces between neighboring subdomains. A multifrontal sparse direct solver is used at the subdomain level. The resulting domain decomposition strategy can be viewed as a hybrid iterative/direct solution method for the large, sparse and complex coefficients algebraic system resulting from the discretization of the time-harmonic Maxwell equations by a discontinuous Galerkin method.

Mots clés: Schwarz algorithm; computational electromagnetism; time-harmonic Maxwell's equations; discontinuous Galerkin method; unstructured meshes; domain decomposition method; Schwarz algorithm.

Domaines: Modélisation et simulation

Victorita Dolean, Stephane Lanteri, Ronan Perrussel. A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods. [Research Report] RR-6220, 2007, pp.42. ⟨inria-00155231v2⟩