FoCM 2014 conference

Workshop C2 - Foundation of Numerical PDE's

December 18, 15:10 ~ 15:45 - Room A22

Scattering of transient waves by penetrable obstacles

Francisco-Javier Sayas

University of Delaware, USA   -

n this talk we will present some results on models for the scattering of transient linear waves by different types of obstacles: homogeneous isotropic; non-homogeneous; elastic. The coupled systems will be discretized with BEM or BEM-FEM in space, and with some implicit or implicit-explicit time-stepping method. We will discuss general stability properties, how to obtain convergence estimates for the fully discrete problems, as well as some delicate questions on how the stability constants behave as functions of time. The results collect current and previous work with Lehel Banjai, Christian Lubich, Tianyu Qiu, Tonatiuh Sanchez-Vizuet, and Matthew Hassell.

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