Past Event: PhD Dissertation Defense

Scalable DPG multigrid solver with applications in high-frequency wave propagation

Jacob Badger, CSEM Ph.D. Candidate

Abstract

This dissertation outlines development of a distributed multigrid solver, based on the discontinuous Petrov--Galerkin finite element method, for solving high-frequency wave propagation problems. The DPG multigrid solver is demonstrated to solve wave propagation problems in acoustics, electromagnetics, and elasticity with complex geometries, high-contrast heterogeneous media, and other challenging features. Scaling is demonstrated to nearly 1 trillion degrees of freedom, an unprecedented scale for high-frequency wave propagation.

Biography

Committee: Leszek Demkowicz, George Biros, Omar Ghattas, Björn Engquist, Jay Gopalakrishnan (Portland State University), Jacob Grosek (Air Force Research Lab), and Socratis Petrides (Lawrence Livermore National Lab)