Numerical Analysis Seminar

Wednesday, November 29, 2006

Speaker: Sergei Lapin, University of Houston
Title: A Lagrange multiplier based domain decomposition method for wave propagation in heterogeneous media
Time: 3:00-4:00 pm
Place: Blocker 628

Abstract

In this talk we address the numerical solution of a wave equation with discontinuous coefficients by a finite element method using domain decomposition and semimatching grids. A wave equation with absorbing boundary conditions is considered, the coefficients in the equation essentially differ in the subdomains. The problem is approximated by an explicit in time finite difference scheme combined with a piecewise linear finite element method in the space variables on a semimatching grid. The matching condition on the interface is taken into account by means of Lagrange multipliers. The resulting system of linear equations of the saddle-point form is solved by a conjugate gradient method.

Last revised: 09/11/06 By: sgkim@math.tamu.edu