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math.NA2020
The Heterogeneous Helmholtz Problem with Spherical Symmetry: Green's Operator and Stability Estimates
Stefan Sauter, Céline Torres
We study wave propagation phenomena modelled in the frequency domain by the Helmholtz equation in heterogeneous media with focus on media with discontinuous, highly oscillating wav…
math.NA2020
Stabilized leapfrog based local time-stepping method for the wave equation
Marcus J. Grote, Simon Michel, Stefan Sauter
Local time-stepping methods permit to overcome the severe stability constraint on explicit methods caused by local mesh refinement without sacrificing explicitness. In \cite{DiazGr…