3 papers
math.NA2026
Finite Element Convergence Analysis For Wave Equations With Time-Dependent Coefficients
Oussama Al Jarroudi, Marcus J. Grote
Error estimates are proved for finite element approximations to the solution of second-order hyperbolic partial differential equations with coefficients varying in both space and t…
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…