Computational Math Seminar: Ben Cowan

Application of multi grid techniques to electromagnetic systems

Ben Cowan

Research and Development Manager, Tech-X Corporation

Date and time: 

Tuesday, April 22, 2014 - 10:30am

Location: 

Grandview Conference Room at 1320 Grandview

Abstract: 

We discuss the use of multigrid techniques for several novel electromagnetic systems. One of these is the frequency-domain Maxwell problem, which presents a significant challenge due to the indefiniteness of the operator. We present methods for addressing this challenge, including a complex frequency shift and careful tuning of the relaxation on each level, and discuss their benefits and limitations. Another challenge discussed for this problem is the null-space of the curl operator.

We also discuss the use of smoothed-aggregation AMG to magnetostatic systems involving highly anisotropic, nonlinear materials. Finally, we describe the use of SA-AMG together with hybrid relaxation in an implementation of the implicit moment particle-in-cell method.