64 citations
- Centre National de la Recherche ScientifiqueFR35 papers
- Institut national de recherche en sciences et technologies du numériqueFR30 papers
- École Nationale Supérieure de Techniques AvancéesFR26 papers
- École Nationale Supérieure de Techniques Avancées ParisFR11 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR7 papers
- École PolytechniqueFR7 papers
- Institut Jean Le Rond d'AlembertFR7 papers
- Sorbonne UniversitéFR7 papers
- Université Paris-SaclayFR7 papers
- Centrale MéditerranéeFR4 papers
- Laboratoire de Mathématiques d'OrsayFR4 papers
- Université Paris-SudFR4 papers
77 papers
Tangential and normal traces for extension domains with non-Lipschitz boundaries
Romain Cervera, Patrick Ciarlet, Anna Rozanova-Pierrat +1
We generalize the classical vector-valued tangential and normal trace theory on Lipschitz domains to the setting of non-Lipschitz -extension domains, which includes domains wi…
A posteriori error estimates for mixed finite element discretization of the multigroup Neutron Simplified Transport equations with Robin boundary condition
Patrick Ciarlet, Minh-Hieu Do, Mario Gervais +1
We analyse a posteriori error estimates for the discretization with mixed finite elements on simplicial or Cartesian meshes of the multigroup neutron simplified transport (SPN ) eq…
Wave propagation in the frequency regime in one-dimensional quasiperiodic media -Limiting absorption principle
Pierre Amenoagbadji, Sonia Fliss, Patrick Joly
We study the one-dimensional Helmholtz equation with (possibly perturbed) quasiperiodic coefficients. Quasiperiodic functions are the restriction of higher dimensional periodic fun…
Spurious resonances for substructured FEM-BEM coupling
Antonin Boisneault, Marcella Bonazzoli, Pierre Marchand +1
We are interested in time-harmonic acoustic scattering by an impenetrable obstacle in a medium where the wavenumber is constant in an exterior unbounded subdomain and is possibly h…
Asymptotic models for time-domain scattering by small particles of arbitrary shapes
Maryna Kachanovska, Adrian Savchuk
In this work, we investigate time-dependent wave scattering by multiple small particles of arbitrary shape. To approximate the solution of the associated boundary-value problem, we…
Preconditioning of GMRES for Helmholtz problems with quasimodes
Victorita Dolean, Pierre Marchand, Axel Modave +1
Finite element methods are effective for Helmholtz problems involving complex geometries and heterogeneous media. However, the resulting linear systems are often large, indefinite,…