A Modified Discontinuous Galerkin Method for Solving Helmholtz Problems

Abstract : A new solution methodology is proposed for solving Helmholtz problems in the mid- and high frequency regime. The proposed method falls in the category of the discontinuous Galerkin methods. The primal variable is obtained by solving in parallel a set of well posed local problems. The Lagrange multiplier is the solution of a global positive semi-definite linear system. These two properties are the main features of the proposed method that distinguish it from the existing solution methodologies. Numerical results are presented to illustrate both the stability and the accuracy of the proposed method when applied for solving waveguide-type problems.
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Rapport
[Research Report] RR-7050, INRIA. 2009, pp.30
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  • HAL Id : inria-00421584, version 4

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Mohamed Amara, Henri Calandra, Rabia Djellouli, Magdalena Grigoroscuta-Strugaru. A Modified Discontinuous Galerkin Method for Solving Helmholtz Problems. [Research Report] RR-7050, INRIA. 2009, pp.30. 〈inria-00421584v4〉

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