Efficient and robust solution techniques for Helmholtz problems

Participating speaker: Adrianna Gillman, University of Colorado Boulder, USA.

Abstract: For many acoustics applications including material design and inverse scattering, it is important to be able to efficiently and stably solve many Helmholtz problems involving the same geometry. In many instances, it is necessary to solve a sequence of problems where there is a local change in the geometry or the medium. This talk will present a collection of fast and robust solution techniques for Helmholtz problems. The techniques offer the ability quickly update the solver for local changes in the medium or the geometry.

Bio: Adrianna Gillman is an Associate Professor in the Department of Mathematics at the University of Colorado, Boulder. Her work lies in the intersection of numerical linear algebra and numerical partial differential equations. Specifically, Adrianna's work focuses on developing high order discretizations and efficient solvers for the linear systems that result from these discretizations. Her work has been applied to applications including scattering and Stokes flow.