russell j. hewett

assistant professor

mathematics & CMDA

Fast and Scalable Solvers for High-frequency Wave Propagation

Fast and Scalable Solvers for High-frequency Wave Propagation

Abstract

In this talk, I will review recent progress on fast solvers for the high-frequency Helmholtz equation. The problem is harder than in the elliptic case, and the better answers seem to involve a decomposition into polarized waves. I will describe how the method of polarized traces fits in this framework, and how it can be adapted to lead to a complexity that is sub-linear in both the number of volume unknowns and the number of right-hand sides, in the 3D case, in a parallel environment. Joint work with Laurent Demanet, Matthias Taus, Adrien Scheuer, and Leonardo Zepeda.

Date
Location
Spokane, WA, USA
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Russell J. Hewett
computational scientist

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