Minimal residual space-time discretizations of parabolic equations Asymmetric spatial operators

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Authors
Publication date 01-11-2021
Journal Computers & Mathematics with Applications
Volume | Issue number 101
Pages (from-to) 107-118
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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 that are independent of this spatial differential operator.
Document type Article
Language English
Published at https://doi.org/10.1016/j.camwa.2021.09.014
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