3 papers
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…
math.NA2024
Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems
Omar Lakkis, Charalambos Makridakis
We derive aposteriori error estimates for fully discrete approximations to solutions of linear parabolic equations on the space-time domain. The space discretization uses finite el…
math.NA2024
Parallel two-scale finite element implementation of a system with varying microstructures
Omar Richardson, Omar Lakkis, Adrian Muntean +1
We propose a two-scale finite element method designed for heterogeneous microstructures. Our approach exploits domain diffeomorphisms between the microscopic structures to gain com…