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Minimal residual space-time discretizations of parabolic equations: Asymmetric spatial operators (2106.01090v2)
Published 2 Jun 2021 in math.NA and cs.NA
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.