Duality analysis of interior penalty discontinuous Galerkin methods under minimal regularity and application to the a priori and a posteriori error analysis of Helmholtz problems

Autor: Chaumont-Frelet, T.

We consider interior penalty discontinuous Galerkin discretizations of time-harmonic wave propagation problems modeled by the Helmholtz equation, and derive novel a priori and a posteriori estimates. Our analysis classically relies on duality argumen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad19a7e25b7bb59ff5b4f252137560e4
http://arxiv.org/abs/2208.14701

Finite element approximation of electromagnetic fields using nonfitting meshes for Geophysics

Autor: Théophile Chaumont-Frelet, Serge Nicaise, David Pardo

Publikováno v: BIRD: BCAM's Institutional Repository Data
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SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, In press, 56 (4), pp.2288-2321. ⟨10.1137/16m1105566⟩

International audience; We analyze the use of non-fitting meshes for simulating the propagation of electromagnetic waves inside the Earth. In order to take into account subcell conductivity variations, we propose a simple " exact integration techniqu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f749ddfd5a55a2c2c84ecd4e222c291
https://doi.org/10.1137/16m1105566

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