14 citations · 24 across the 5 of their papers we have counts for
3 papers · 1 filter
Explicit Local Time-Stepping for the Inhomogeneous Wave Equation with Optimal Convergence
Marcus J. Grote, Simon R. J. Michel, Stefan A. Sauter
Adaptivity and local mesh refinement are crucial for the efficient numerical simulation of wave phenomena in complex geometry. Local mesh refinement, however, can impose a tiny tim…
Uncertainty Quantification by MLMC and Local Time-stepping For Wave Propagation
Marcus J. Grote, Simon Michel, Fabio Nobile
Because of their robustness, efficiency and non-intrusiveness, Monte Carlo methods are probably the most popular approach in uncertainty quantification to computing expected values…
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…