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A Trefftz method whose shape functions are constructed thanks to a high-order DG finite element method

Hélène Barucq 1 Abderrahmane Bendali 2 Julien Diaz 1 Sébastien Tordeux 1
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
2 IMT - Institut de Mathématiques de Toulouse UMR5219
Abstract : We investigate the feasibility of constructing local solutions to the Helmholtz equation thanks to high-order DG finite element approximations of the Dirichlet-to-Neumann operator. This is then used in a Tre↵tz Discontinuous Galerkin method in place of a boundary element method that was successfully applied in [1] to solve the Helmholtz problem in very large domains. We perform comparisons between the two approaches by considering large domains of propagation including heterogeneities.
Keywords : Trefftz boundary element method Discontinuous Galerkin method
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Conference papers
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https://hal.inria.fr/hal-01691588
Contributor : Sébastien Tordeux Connect in order to contact the contributor
Submitted on : Wednesday, January 24, 2018 - 10:32:20 AM
Last modification on : Friday, January 21, 2022 - 3:13:13 AM

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  • HAL Id : hal-01691588, version 1

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CNRS | UNIV-PAU | LMA-PAU | INSMI | TDS-MACS | IMT | UNIV-TLSE2 | INRIA | UNIV-TLSE3 | UT1-CAPITOLE | INSA-TOULOUSE | INSA-GROUPE

Citation

Hélène Barucq, Abderrahmane Bendali, Julien Diaz, Sébastien Tordeux. A Trefftz method whose shape functions are constructed thanks to a high-order DG finite element method. WAVES 2017 - 13th International Conference on Mathematical and Numerical Aspects of Wave Propagation, May 2017, Minnesota, United States. ⟨hal-01691588⟩

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