Research

The core of my research is the numerical study of partial differential equations (PDEs), with a particular focus on wave scattering subjects. My work is centered on creating and analyzing effective methods for discretizing wave equations. In recent times, the integration of the Convolution Quadrature (CQ) method and the Boundary Element Method (BEM) has emerged as a crucial tool in this domain. My previous work primarily aimed to contribute to the analysis of such discretizations, particularly in the context of scattering issues. More recently, at ETH Zürich, my attention has shifted to the mathematical and numerical analysis of subwavelength resonators, which are pivotal in the evolution of metamaterials.

My research and interests can roughly be characterized into the following areas.

• Integral equations for time-dependent PDEs and their discretizations
• Computational aspects of retarded boundary integral equations
• Mathematical foundations of metamaterials, i.e. the mathematical analysis of subwavelength resonators
• Inverse problems in the context of time-dependent wave phenomena
• Hybrid methods using PDE models and data simultaneously