Localized methods for the wave equation with strong heterogeneities in space and time (A15#)

• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 258734477

In this project, we design and analyze multiscale approaches and domain decomposition methods for the efficient simulation of solutions to the wave equation in strongly heterogeneous media, encoded by highly oscillatory coefficients in the equation. We particularly consider the case where oscillations are space- and time-dependent, which is of interest in view of recent progress in the understanding and simulation of wave processes in spatiotemporally modulated metamaterials. We construct numerical methods that are tailored to such problems and avoid unfeasible global computations.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1173: Wave phenomena: analysis and numerics
• Applicant Institution: Karlsruher Institut für Technologie, since 9/2024
• Project Head: Dr. Roland Maier, since 9/2024