Tuesday,
April 1, 3:15 p.m. PSA 206
Saul Abarbanel
Department of Mathematics
Tel Aviv University
Long-Time Performance of Unsplit PMLs using
Explicit Second Order Schemes
Abstract
A gradual long-time growth of the solution in perfectly matched layers (PMLs)
has been previously reported in the literature. This undesireable phenomenon
may hamper the perfornance of the layer, which is designed to truncate the
computational domain for unsteady wave propagation problems. For
unsplit PMLs, prior studies have attributed the growth to the presence of
multiple eigenvalues in the amplification matrix of the governing system of
differential equations. In this talk we analyze the temporal behavior of the
unsplit PMLs for some commonly used second order explicit finite-difference
schemes that approximate Maxwell's equations. Our conclusion is that in
addition to having the PML as a potential source of long-time growth, the type
of layer and the choice of the scheme play a major role in how rapidly this
growth may manifest itself and whether or not it manifests itself at all.
For further information please contact:
mittelmann@asu.edu