A quasi-optimal space-time FEM with local mesh refinements for parabolic problems
Numerical Analysis
2025-02-20 v1 Numerical Analysis
Abstract
We present a space-time finite element method for the heat equation that computes quasi-optimal approximations with respect to natural norms while incorporating local mesh refinements in space-time. The discretized problem is solved with a conjugate gradient method with a (nearly) optimal preconditioner.
Keywords
Cite
@article{arxiv.2502.13655,
title = {A quasi-optimal space-time FEM with local mesh refinements for parabolic problems},
author = {Lars Diening and Rob Stevenson and Johannes Storn},
journal= {arXiv preprint arXiv:2502.13655},
year = {2025}
}