51 citations · 71 across the 15 of their papers we have counts for
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A posteriori error estimates for the wave equation with mesh change in the leapfrog method
Marcus J. Grote, Omar Lakkis, Carina Santos
We derive a fully computable aposteriori error estimator for a Galerkin finite element solution of the wave equation with explicit leapfrog time-stepping. Our discrete formulation…
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…
Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology
Giacomo Rosilho de Souza, Marcus J. Grote, Simone Pezzuto +1
Fully explicit stabilized multirate (mRKC) methods are well-suited for the numerical solution of large multiscale systems of stiff ordinary differential equations thanks to their i…