765 citations
- Centre National de la Recherche ScientifiqueFR201 papers
- École PolytechniqueFR163 papers
- École Nationale Supérieure de Techniques Avancées ParisFR146 papers
- Laboratoire d'Optique AppliquéeFR116 papers
- Université Paris-SaclayFR79 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR55 papers
- Institut national de recherche en sciences et technologies du numériqueFR54 papers
- POEMS: Propagation des Ondes : Etude Mathématique et SimulationanFR26 papers
- Institut Polytechnique de ParisFR22 papers
- Institut des Sciences de la Mécanique et Applications IndustriellesFR21 papers
- Université Paris-SudFR17 papers
- CEA DAM Île-de-FranceFR16 papers
Showing 2023 · math.NAShow all
3 papers · 2 filters
math.NA2023
A complex-scaled boundary integral equation for time-harmonic water waves
Anne-Sophie Bonnet-Ben Dhia, Luiz M. Faria, Carlos Pérez-Arancibia
This paper presents a novel boundary integral equation (BIE) formulation for the two-dimensional time-harmonic water-waves problem. It utilizes a complex-scaled Laplace's free-spac…
math.NA2023
Computing singular and near-singular integrals over curved boundary elements: The strongly singular case
Hadrien Montanelli, Francis Collino, Houssem Haddar
We present algorithms for computing strongly singular and near-singular surface integrals over curved triangular patches, based on singularity subtraction, the continuation approac…
math.NA2023★ 26 cited
Direct parametrisation of invariant manifolds for non-autonomous forced systems including superharmonic resonances
Alessandra Vizzaccaro, Giorgio Gobat, Attilio Frangi +1
The direct parametrisation method for invariant manifold is a model-order reduction technique that can be applied to nonlinear systems described by PDEs and discretised e.g. with a…