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.
|