Past Event: CSEM Student Forum

A Physics-Based Low-Rank Approximation Method for the H-Matrix Approach in Integral-Equation Solvers of Electromagnetics

Jon Kelley, CSEM student, Oden Institute, UT Austin

Abstract

This talk presents the path to adapt and integrate a recently-developed physics-based low-rank approximation algorithm for hierarchical-matrix (H-matrix) blocks, which has so far been demonstrated only for accelerating integral kernels (point sources and observers), to an iterative method of moments (Mom) solution of the surface electric field integral equation (S-EFIE) and combined field integral equation (S-CFIE) using divergence-conforming basis/testing functions. Bio Jon Kelley is a third-year CSEM student advised by Dr. Ali Yilmaz. His research is in computational electromagnetics, focusing on physics-based low-rank approximation methods and scattering problems with aerospace applications. (The CSEM Student Forum is a seminar series given by current CSEM graduate students to their peers. The aim of the forum is to expose students to each other's research, encourage collaboration, and provide opportunities to practice presentation skills. First- and second-year CSEM students receive seminar credit for attending.)