A Modified Discontinuous Galerkin Method for Solving Helmholtz Problems

Mohamed Amara; Henri Calandra; Rabia Djellouli; Magdalena Grigoroscuta-Strugaru

inria-00421584, version 4

A Modified Discontinuous Galerkin Method for Solving Helmholtz Problems

Mohamed Amara ()^a^, 1, 2, Henri Calandra ()^b^, 3, Rabia Djellouli ()^c^, 4, 5, Magdalena Grigoroscuta-Strugaru ()^d^, 1, 6

N° RR-7050 (2009)

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.

a – Université de Pau et des Pays de l'Adour
b – TOTAL, Pau
c – California State University Northridge
d – INRIA, Magique-3D & UPPA, LMA
1: MAGIQUE-3D (INRIA Bordeaux - Sud-Ouest)
INRIA – CNRS – Université de Pau et des Pays de l'Adour [UPPA]
2: Laboratoire de Mathématiques et de leurs Applications de Pau (LMA-PAU)
CNRS : UMR5142 – Université de Pau et des Pays de l'Adour [UPPA]
3: Imagerie géophysique Pau (IGP)
TOTAL FINA ELF – Université de Pau et des Pays de l'Adour [UPPA]
4: Department of Mathematics [CSUN]
California State University Northridge
5: INRIA Bordeaux-Sud-Ouest, Associate Team Project MAGIC, USA
California State University Northridge
6: Université de Pau et des Pays de l'Adour (UPPA)
Université de Pau et des Pays de l'Adour [UPPA]

Collaboration : TOTAL, Associate Team MAGIC

inria-00421584, version 4
http://hal.inria.fr/inria-00421584
oai:hal.inria.fr:inria-00421584
From: Magdalena Grigoroscuta-Strugaru <>
Submitted on: Wednesday, 11 May 2011 15:46:47
Updated on: Wednesday, 11 May 2011 16:19:36

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