Time-dependent problems that are modeled by initial-boundary value problems for
parabolic or hyperbolic partial differential equations can be treated with the boundary …

The paper deals with the retarded potential boundary integral equations (RPBIE) used in the
numerical resolution of transient scattering problems (the so-called time domain boundary …

This paper deals with the numerical resolution of the so‐called time‐domain boundary
integral equations. The scattering problem by an absorbing obstacle serves as the model for …

Le sujet de cette thèse concerne la modélisation numérique des phénomènes de
propagation des ondes dans des milieux élastiques. La compréhension et la modélisation …

We develop the analogy between self-gravitating Brownian particles and bacterial
populations. In the high friction limit, the self-gravitating Brownian gas is described by the …

Based on Ying's kernel-free boundary integral (KFBI) method [1], a secondorder method for
general elliptic partial differential equations (PDEs), this paper develops a GPU-accelerated …

This paper introduces a second-order method for solving general elliptic partial differential
equations (PDEs) on irregular domains using GPU acceleration, based on Ying's kernel-free …

Ce mémoire décrit mes travaux de recherche sur l'analyse mathématique et numérique de
problèmes de propagation d'ondes. Le premier chapitre est consacré à des méthodes …

Acoustic simulations are very demanding in computational resources. Time Domain
Boundary Element Method (TD-BEM) is a new efficient formalism for large frequency …

UNIVERSITÉ PIERRE ET MARIE CURIE (PARIS VI) Ensemble de travaux présentés pour
obtenir L’HABILITATION A DIRIGER DES RECHERC Page 1 UNIVERSITÉ PIERRE ET MARIE …