University of Idaho
Department of Mathematics Colloquia

Thursday, March 27, 2008

3:30 p.m. in TLC 031
Refreshments in Brink 330 at 3:00

Numerical modeling of a wave propagation in heterogeneous media using Domain Decomposition

by

Sergey Lapin
Department of Mathematics
Washington State University

Abstract:

In this talk we consider the numerical solution of a linear wave equation with discontinuous coefficients. We divide the computational domain into two subdomains and use explicit time difference scheme along with piecewise linear finite element approximations on semimatching grids. We apply boundary supported Lagrange multiplier method to match the solution on the interface between subdomains. The resulting system of linear equations of the "saddle-point" type is solved efficiently by a conjugate gradient method.