The broad area of my research is numerical analysis/computational mathematics. I work on
the development, rigorous analysis and efficient implementation of computational algorithms for
problems coming from physics and engineering.

My main specialist area is the acoustic and electromagnetic scattering of waves in
bounded and unbounded media. The numerical tools I use to approach these problems are boundary integral and finite element methods in frequency and time domain including also Trefftz space-time discontinuous Galerkin methods. 

Further, I am active in the development and analysis of numerical eigenvalue computations and in computational complex analysis.  Here I have worked on pseudospectral, finite element and multigrid methods.