Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations

Abstract

We analyze Galerkin discretizations of a new well-posed mixed space-time variational formulation of parabolic PDEs. For suitable pairs of finite element trial spaces, the resulting Galerkin operators are shown to be uniformly stable. The method is compared to two related space-time discretization methods introduced in [IMA J. Numer. Anal., 33(1) (2013), pp. 242-260] by R. Andreev and in [Comput. Methods Appl. Math., 15(4) (2015), pp. 551-566] by O. Steinbach.

References in corpus (3)

• Space-Time Isogeometric Analysis of Parabolic Evolution Equations
• Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems
• Time-parallel iterative solvers for parabolic evolution equations

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