Laboratoire POems

Wave Propagation : Mathematical Study and Simulation

Identity card

POEMS (french acronym whose translated meaning is Wave Propagation : Mathematical Study and Simulation) is a Mixed Research Unit (UMR 72 31), since january 2005, whose 3 supervisions are CNRS, ENSTA-Paristech and INRIA. This unit is at the same time an INRIA Project (part of INRIA Saclay Center), a tema of the Applied Mathematical Unit of ENSTA-ParisTech, inside FMJH (Jacques Hadamard Mathematical Foundation) and a CNRS Unit, dependent on INSIS department (Engineering Science and Systems Institute). The unit is located at ENSTA-ParisTech, in campus of Polytechnique, Palaiseau, France.

POEMS director is Anne-Sophie Bonnet-Ben Dhia.

In POEMS, there are about fifteen researchers or faculty members, 2 engineers and about fifteen students (PhD or post-docs).

Objectives

POEMS scientific activities are devoted to the development of mathematical and numerical studies about wave propagation, in all domains of Physics and Mechanics, namely electro-magnetic waves, acoustic waves, elastic waves or gravitational waves.

POEMS work concerns the modelling of complex problems, the mathematical analysis of these models (generally governed by Partial Differential Equations), the development of approximation methods and of computation softwares.

Research activities

Our main research themes are as follows :

Les domaines d'applications principaux sont les suivants :

At last, we develop through a partnership with IRMAR, the XLiFE++ library. This is a versatile finite element library, containing specific tools for solving problems on unbounded domains, such as Dirichlet-to-Neumann conditions or coupling with BEM.

We also develop COFFEE, a 3D solver for linear elastodynamics based on fast BEMs (full implementation in Fortran 90). The 3-D elastodynamic equations are solved with the boundary element method accelerated by the multi-level fast multipole method or H-matrix based solvers. The fundamental solutions for the infinite or half-space are used. A boundary element-boundary element coupling strategy is also implemented so multi-region problems (strata inside a valley for example) can be solved.