A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations
Numerical Analysis
2022-05-26 v3 Numerical Analysis
Abstract
In this work, an -linearly converging adaptive solver is constructed for parabolic evolution equations in a simultaneous space-time variational formulation. Exploiting the product structure of the space-time cylinder, the family of trial spaces that we consider are given as the spans of wavelets-in-time and (locally refined) finite element spaces-in-space. Numerical results illustrate our theoretical findings.
Keywords
Cite
@article{arxiv.2101.03956,
title = {A wavelet-in-time, finite element-in-space adaptive method for parabolic evolution equations},
author = {Rob Stevenson and Raymond van Venetië and Jan Westerdiep},
journal= {arXiv preprint arXiv:2101.03956},
year = {2022}
}