Laplace and Helmholtz boundary integral equations on domains with corners

Thursday, August 5, 2010 - 9:30am - 10:00am
Keller 3-180
James Bremer (University of California)
We describe a collection of techniques which allow
for the fast and accurate solution of boundary integral
equations on two-dimensional domains whose boundaries
have corner points. Our approach has two key advantages
over existing and recently suggested schemes: (1) it
does not require a prior analytic estimates for solutions,
and (2) many aspects of the scheme generalize readily
to singular three-dimensional domains.
MSC Code: