Numerical methods for wave problems with nontrivial boundary conditions and nonlocal material laws (A02)

• Subject Area: Mathematics
• Term: since 2015
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 258734477

The stable numerical coupling of space and time discretization in an interior domain with discretizations of nontrivial (e.g., dynamical, nonlocal transparent, local absorbing, or impedance) boundary conditions in problems of wave propagation is the central topic of this research project. We consider materials that are in addition nonlocal in time. Prominent examples are viscoelastic material laws for wave equations or Maxwell equations with nonlocal polarization.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1173: Wave phenomena: analysis and numerics
• Applicant Institution: Karlsruher Institut für Technologie
• Project Heads: Professorin Dr. Marlis Hochbruck; Professor Dr. Christian Lubich