Adaptive implicit space-time discretization for wave equations (A03)

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

For elastic and electromagnetic wave equations in dissipative and dispersive media, we aim to develop fully adaptive space-time discretizations with integrated efficient and reliable error control and efficient implicit solution methods of (at least numerically validated) almost optimal complexity and parallel scalability. We use discontinuous Galerkin methods in space and time for the wave equation formulation as first-order system with generalized material laws including, e.g., convolutions in space and time. The modeling error is estimated in space and time by realizing a flexible model hierarchy.

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