241 citations
- Université de RennesFR519 papers
- Centre National de la Recherche ScientifiqueFR335 papers
- Université Rennes 1FR189 papers
- Institut national de recherche en sciences et technologies du numériqueFR81 papers
- École Normale Supérieure de RennesFR38 papers
- Institut National des Sciences Appliquées de RennesFR36 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR26 papers
- Laboratoire de Mathématiques Jean LerayFR25 papers
- Institut de Mathématiques de ToulouseFR24 papers
- Institut Universitaire de FranceFR22 papers
- Laboratoire de Mathématiques d'OrsayFR22 papers
- Centre Inria de l'Université de RennesFR20 papers
6 papers · 2 filters
Hamiltonian interpolation of splitting approximations for nonlinear PDEs
Erwan Faou, Benoit Grebert
We consider a wide class of semi linear Hamiltonian partial differential equa- tions and their approximation by time splitting methods. We assume that the nonlinearity is polynomia…
On the Kleinman-Martin integral equation method for electromagnetic scattering by a dielectric body
Martin Costabel, Frédérique Le Louër
The interface problem describing the scattering of time-harmonic electromagnetic waves by a dielectric body is often formulated as a pair of coupled boundary integral equations for…
Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism
Gabriel Caloz, Monique Dauge, Victor Péron
In this paper we prove uniform a priori estimates for transmission problems with constant coefficients on two subdomains, with a special emphasis for the case when the ratio betwee…
Discrete compactness for the p-version of discrete differential forms
Daniele Boffi, Martin Costabel, Monique Dauge +2
In this paper we prove the discrete compactness property for a wide class of p-version finite element approximations of non-elliptic variational eigenvalue problems in two and thre…
Resonances in long time integration of semi linear Hamiltonian PDEs
Erwan Faou, Benoit Grebert
We consider a class of Hamiltonian PDEs that can be split into a linear unbounded operator and a regular non linear part, and we analyze their numerical discretizations by symplect…
Modified energy for split-step methods applied to the linear Schrödinger equation
Arnaud Debussche, Erwan Faou
We consider the linear Schrödinger equation and its discretization by split-step methods where the part corresponding to the Laplace operator is approximated by the midpoint rule.…