Research

My research interests include numerical analysis, scientific computing, and numerical methods for partial differential equations. I am particularly interested in domain decomposition methods and their implementation.

Domain decomposition for wave scattering

Domain decomposition methods divide a large computational problem into smaller problems that exchange information across their interfaces.

My work on the Helmholtz equation focuses on finite element domain decomposition methods for exterior scattering problems. This includes transmission conditions between subdomains, the treatment of cross-points where several subdomains meet, and techniques for truncating unbounded domains.

The Monge–Ampère equation

My doctoral research also included domain decomposition methods for the fully nonlinear Monge–Ampère equation.

Earlier projects

• Granular impact and computational topology: Studying force networks in granular materials using persistent homology.
• Flow estimation: Using simulations and Kalman filtering to investigate how measurement choices affect estimates of eddy-flow parameters.

Publications and code

My publication list is available in my CV.