2 papers
math.NA2025
Adaptive FEM with explicit time integration for the wave equation
Marcus J. Grote, Omar Lakkis, Carina S. Santos
Starting from a recent a posteriori error estimator for the finite element solution of the wave equation with explicit time-stepping [Grote, Lakkis, Santos, 2024], we devise a spac…
math.NA2025
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…