UNIVERSITY OF COLORADO AT DENVER
PLACE: Mathematics Conference Room 626 UCD Building, 1250 14th St., Denver
TIME: NOON (Refreshments served at 11:45 am)
DATE: April 10, 2000
Joe Pasciak, pasciak@math.tamu.edu
Iterative techniques for mixed discretizations of Maxwells equations.
Maxwell equations in lossless media leads to a second order differential
equation for the
electric field that is not elliptic, and is indefinite. This is
a variational
system involving an indefinite bilinear form in H(curl). The Galerkin
discretization based on
Nedelec spaces has been show to provide accurate approximate solutions.
In this talk,
the issue of preconditioning the indefinite matrix arising from this
method will be discussed. Specifically, the overlapping Schwarz method
will be shown to give rise to an iterative scheme converging at a rate
which independent
of the the mesh size.