Numerical Analysis Seminar

Date: April 1, 2015

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Dr. Francisco-Javier Sayas, U. Delaware

Title: Interfacing FEM and BEM for transient acoustic equations

Abstract: This seminar presents a simple numerical strategy to discretize a transmission problem in scattering of acoustic waves by non-homogeneous obstacles. The method uses a traditional Finite Element scheme with time-stepping for the interior of the obstacles and Convolution Quadrature Boundary Element Methods for the unbounded exterior domain. After presenting the method and stating the main results, I will spend some time trying to convey the mathematical techniques used for the analysis: they are based on simple results on the theory of evolution equations and on some exotic transmission conditions that describe variationally the effect of Galerkin FEM-BEM discretization.