Description:

Title:  A case study in using semiclassical analysis in the numerical analysis of high-frequency wave problems.

Abstract:  Since my first visit to Northwestern 10 years ago, the main focus of my research has been in using tools from semiclassical analysis, that is, the tools and techniques designed for studying high-frequency solutions to PDEs, in the numerical analysis of these PDEs.

This talk will showcase a recent result in this research direction, namely, the first frequency-explicit convergence results about domain-decomposition methods for the high-frequency Helmholtz equation.

No knowledge of any numerical analysis/domain decomposition will be needed to understand this talk!