Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators
Numerical Analysis
2021-09-17 v2 Numerical Analysis
Abstract
We consider a minimal residual discretization of a simultaneous space-time variational formulation of parabolic evolution equations. Under the usual `LBB' stability condition on pairs of trial- and test spaces we show quasi-optimality of the numerical approximations without assuming symmetry of the spatial part of the differential operator. Under a stronger LBB condition we show error estimates in an energy-norm which are independent of this spatial differential operator.
Keywords
Cite
@article{arxiv.2106.01090,
title = {Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators},
author = {Rob Stevenson and Jan Westerdiep},
journal= {arXiv preprint arXiv:2106.01090},
year = {2021}
}