Sparsified discrete wave problem involving a radiation condition on a prolate spheroidal surface

Authors : Hélène Barucq, M’Barek Fares (Cerfacs), Carola Kruse (Cerfacs), Sébastien Tordeux Research article : Hélène Barucq, M’Barek Fares, Carola Kruse, Sébastien Tordeux, Sparsified discrete wave problem involving a radiation condition on a prolate spheroidal surface, IMA Journal of Numerical Analysis, Volume 41, Issue 1, January 2021, Pages 315–343 (link to the…

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Absorbing Boundary Conditions for the Convected Helmholtz Equation

Authors : Hélène Barucq, Nathan Rouxelin (Former PhD student of Makutu), Sébastien Tordeux Article published in : Low-order Prandtl-Glauert-Lorentz based Absorbing Boundary Conditions for solving the convected Helmholtz equation with Discontinuous Galerkin methods, Journal of Computational Physics, Volume 468, 2022, (link to the journal) Many wave propagation problems are set in unbounded…

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A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations

Participants : Kakon Sem Fure (Master student), Margot Sirdey (PhD Student), Sébastien Pernet (ONERA), Sébastien Tordeux Trefftz methods are known to be very efficient to reduce the numerical pollution when associated to plane wave basis. However, these local basis functions are not adapted to the computation of evanescent modes or…

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Trefftz methods for electromagnetic waves in the context of High Performance Computing

Participants : Margot Sirdey (Doctorante) Sébastien Tordeux, Sébastien Pernet (ONERA) Three dimensional electromagnetic waves simulation is an important issue in many applications. Industrial simulation frequently involves the solution of a large linear system. When resorting to direct methods (LU decompositions) the necessary memory for the inversion of the matrix increases…

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