DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Francisco Javier Sayas, University of Delaware

**Title: ***
Transient transmission problems with integral methods
*

**Abstract:**
In this talk I will present a gallery of problems related to scattering of waves by penetrable obstacles. I will start with a transmission problem of acoustic waves by a collection of penetrable obstacles with different homogeneous material properties. With this problem I will give a taste of the analytical tools we are developing to analyze a fully discrete method (Galerkin in space, Convolution Quadrature in time) for this kind of problems. I will next briefly describe what to do when obstacles have non-homogeneous material properties (use FEM inside) and some preliminary results for the case when acoustic waves interact with elastic waves in a bounded domain.

**Time:** Friday, August 29, 2014, 1:30-2:30 p.m.

**Place:** Exploratory Hall (formerly S & T II), Room 4106

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491