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Perturbative techniques for Dirichlet-Neumann maps
While using an FEM discretisation of an exterior time-harmonic scattering problem, one needs to truncate the computational region. This is often done by means of an artificial boundary on which suitable boundary conditions (ABC) are prescribed. In this talk, I will briefly review various choices of these boundary conditions, discussing their advantages and disadvantages. A popular ABC is due to Givoli and Keller, who use an exact Dirichlet-to-Neumann map on special artificial boundaries, e.g. circles or ellipses. I shall present a perturbative technique which enables us to prescribe a DtN map on more general boundaries, reducing the computational domain even further. Numerical experiments are presented. This is joint work with David Nicholls, U. Notre Dame.
Date: 2002-10-17 à 06:30
Endroit: Salle 2744, pavillon Adrien-Pouliot Séminaire