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- W336790022 abstract "This work aims at developing high-performance numerical strategies for the computer simulation of time-harmonic electromagnetic wave propagation problems in complex domains and heterogeneous media. In this context, we are naturally led to consider volumic discretization methods (i.e. finite difference, finite volume or finite element methods) as opposed to surfacic discretization methods (i.e. boundary element method). Most of the related existing works deal with the second-order form of the time-harmonic Maxwell equations discretized by the edge finite element method [15] and more recently, discontinuous Galerkin methods [11]. Recently, theoretical results concerning discontinuous Galerkin methods applied to the time-harmonic Maxwell equations have been obtained by several authors. Most of these results use a mixed formulation [16, 12] but the convergence of discontinuous Galerkin methods on the non-mixed formulation have also been proved [11, 4]. Here, we are concerned with the application of such discontinuous Galerkin methods to the first order form of the three-dimensional time-harmonic Maxwell’s equations, and we aim to design a parallel solution strategy for the resulting large, sparse algebraic systems with complex coefficients." @default.
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- W336790022 date "2007-01-01" @default.
- W336790022 modified "2023-09-27" @default.
- W336790022 title "Hybrid iterative/direct strategies for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods" @default.
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