This page is not longer being maintained. Please visit the new UMD Mathematics website at www-math.umd.edu.
DEPARTMENT OF MATHEMATICS
Math Home > Research > Seminars > Numerical Analysis Seminar > [ Search | Contact | Help! ]
Thursday, May 9, 9:30 am in MTH 3206, University of Maryland, College Park

Nonreflecting Boundary Conditions

Prof. Marcus Grote

Courant Institute of Mathematical Sciences, New York University

Scattering problems in unbounded media arise in many applications such as acoustics or electromagnetics. Numerical methods can handle complicated geometries, inhomogeneous media, and nonlinearities; however, they require an artificial boundary, which truncates the unbounded exterior domain. To eliminate spurious reflections from the artificial boundary, we have devised exact nonreflecting boundary conditions, both for the Helmholtz equation and for the time dependent wave equation. Thus, we retain the flexibility of numerical methods based on the differential equation formulation of the problem, without introducing any spurious reflections at the artificial boundary.