3 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.AP2023
Existence of solution to a system of PDEs modeling the crystal growth inside lithium batteries
Omar Lakkis, Alexandros Skouras, Vanessa Styles
We study a model for lithium (Li) electrodeposition on Li-metal electrodes that leads to dendritic pattern formation. The model comprises of a system of three coupled PDEs, taking…
math.NA2020
A least-squares Galerkin gradient recovery method for fully nonlinear elliptic equations
Omar Lakkis, Amireh Mousavi
We propose a least squares Galerkin based gradient recovery to approximate Dirichlet problems for strong solutions of linear elliptic problems in nondivergence form and correspondi…