University of Texas at Austin

Past Event: CSEM Student Forum

An Efficient 3D Direct Solver for the Variable Coefficient Helmholtz Equation

Anna Yesypenko, CSEM 4th year PhD student, Oden Institute, UT Austin

1 – 2PM
Friday Dec 4, 2020

Zoom Meeting

Abstract

We present an efficient direct solver for the variable-coefficient Helmholtz equation discretized on rectangular domains, with applications to electromagnetic and acoustic scattering. The solver is based on a domain decomposition approach, where the domain is partitioned into a collection of thin strips for 2D problems, or thin slabs for 3D problems. Competitive computational complexity is attained by using a hierarchical technique both for the initial computation within each slab, and for the merger of all the slabs to build a global solution operator. The new solver is designed to work well for local high-order discretizations, to parallelize well, and to attain high practical performance on modern latency-bound architectures.

 

 

Biography

Anna Yesypenko is a 4th year PhD student advised by Professor Per-Gunnar Martinsson. She holds a Bachelor's degree in Computer Science from Cornell University and a Master's degree in CSEM from the University of Texas at Austin.

An Efficient 3D Direct Solver for the Variable Coefficient Helmholtz Equation

Event information

Date
1 – 2PM
Friday Dec 4, 2020
Location Zoom Meeting
Hosted by Shane McQuarrie