Speaker: Stephen Lau (U. of New Mexico)

Title: Dual perturbation approach for direct spectral solution of harmonic problems on a block

Abstract: We present a new direct (or quasi-direct) strategy for solving three-dimensional Poisson and Helmholtz problems posed on a Cartesian block. The approach starts with a spectral approximation of either problem involving modal Chebyshev integration matrices. It is low-memory, empirically well-conditioned, and offers some possibility for near optimal complexity.