Enriched absorbing boundary conditions for the acoustic wave equation and the Helmholtz equation
type: Dataset
description: During my PhD, I have worked on the construction of absorbing boundary conditions (ABCs) designed for wave propagation problems set in domains bounded by regular surfaces. These conditions are new since they take into account not only propagating waves (as most of the existing ABCs) but also evanescent and creeping waves. Therefore, they outperform the existing ABCs. Moreover, they can be easily implemented in a discontinuous Galerkin finite element scheme and they do not change the Courant-Friedrichs-Lewy stability condition. These ABCs have been implemented in two codes that respectively simulate the propagation of acoustic waves and harmonic waves. The comparisons performed between these ABCs and the ABCs mostly used in the litterature show that when we take into account evanescent and creeping waves, we reduce the reflections coming from the artificial boundary. Therefore, thanks to these new ABCs, the artificial boundary can get closer to the obstacle. Consequently, we reduce the computational costs which is one of the advantages of my work. Moreover, since these new ABCs are written for any kind of boundary, we can adapt the shape of the computational domain and thus we can reduce again the computational costs.
landing page: https://theses.hal.science/tel-00817506
keyword: absorbing-boundary-conditions
keyword: acoustic-wave-equation
keyword: conditions-aux-limites-absorbantes
keyword: discontinuous-galerkin-finite-element-method
keyword: elements-finis-de-type-galerkine-discontinu
keyword: equation-des-ondes-acoustiques
keyword: equation-dhelmholtz
keyword: helmholtz-equation
keyword: infoeu-reposemanticsdoctoralthesis
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: theses
issued: 2026-05-11T08:11:28.435762
modified: 2026-05-11T08:11:28.435767
language: fr
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Enriched absorbing boundary conditions for the acoustic wave equation and the Helmholtz equation
type: Distribution
format: HTML
access URL: https://theses.hal.science/tel-00817506
issued: 2026-05-11T08:11:28.457358
modified: 2026-05-11T08:11:28.421549