Space-time hexahedral finite element methods for parabolic evolution problems
Numerical Analysis
2021-03-26 v1 Numerical Analysis
Abstract
We present locally stabilized, conforming space-time finite element methods for parabolic evolution equations on hexahedral decompositions of the space-time cylinder. Tensor-product decompositions allow for anisotropic a priori error estimates, that are explicit in spatial and temporal meshsizes. Moreover, tensor-product finite elements are suitable for anisotropic adaptive mesh refinement strategies provided that an appropriate a posteriori discretization error estimator is available. We present such anisotropic adaptive strategies together with numerical experiments.
Cite
@article{arxiv.2103.13835,
title = {Space-time hexahedral finite element methods for parabolic evolution problems},
author = {Ulrich Langer and Andreas Schafelner},
journal= {arXiv preprint arXiv:2103.13835},
year = {2021}
}
Comments
8 pages, 1 figure