Numerical Analysis Seminar

Wednesday, October 8, 2008

Speaker: Seungil Kim, Texas A&M University
Title: Analysis of a Cartesian PML approximation to acoustic scattering problems in R2
Time: 3:00-4:00 pm
Place: Blocker 627

Abstract

In this talk, we consider a Cartesian PML approximation of solutions to acoustic scattering problems on an unbounded domain in R2. The perfectly matched layer (PML) technique in a curvilinear coordinate system has been researched well for acoustic scattering and resonance problems in theory as well as in computation. Our goal will be to extend the results of spherical/cylindrical PML to PML in Cartesian coordinates for acoustic scattering problems, that is, the well-posedness of Cartesian PML scattering problems on both the unbounded and truncated domains, and exponential convergence of approximate solutions with the thickness of PML increasing.

Last revised: 08/26/08 By: abnersg@math