4–5 févr. 2016
Ecole Polytechnique
Fuseau horaire Europe/Paris
New Trends in Integral Equations

An H-matrix based direct solver for the Boundary Element Method in 3D elastodynamics

5 févr. 2016, 16:40
35m
Amphi Becquerel (Ecole Polytechnique)

Amphi Becquerel

Ecole Polytechnique

Route de Saclay, 91128 PALAISEAU Cedex

Orateur

Dr Stéphanie Chaillat

Description

The main advantage of the Boundary Element Method (BEM) is that only the domain boundaries are discretized leading to a drastic reduction of the total number of degrees of freedom.
In traditional BE implementation the dimensional advantage with respect to domain discretization methods is offset by the fully-populated nature of the BEM coefficient matrix. In the present work, we propose a fast method to solve the BEM system in 3-D frequency-domain elastodynamics.
Using the H-matrix arithmetic and low-rank approximations (performed with Adaptive Cross Approximation), we derive a fast direct solver. We assess the numerical efficiency and accuracy on the basis of numerical results obtained for problems having known solutions. In particular, we study the efficiency of low-rank approximations when the frequency is increased. The efficiency of the method is also illustrated to study seismic wave propagation in 3-D domains.

This is a joint work with Patrick Ciarlet and Luca Desiderio

Documents de présentation

Aucun document.