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arXiv · 1902.06279

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

Rob Stevenson·Jan Westerdiep
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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.

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Rob Stevenson, Jan Westerdiep. 2019-12-16. Stability of Galerkin discretizations of a mixed space-time variational formulation of parabolic evolution equations. https://doi.org/10.1093/imanum%2Fdrz069

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