Discrete maximal parabolic regularity for Galerkin finite element methods

被引：0
|
作者：
Dmitriy Leykekhman
Boris Vexler
机构：
[1] University of Connecticut,Department of Mathematics
[2] Technische Universität München,Lehrstuhl für Optimalsteuerung, Fakultät für Mathematik
来源：
Numerische Mathematik | 2017年 / 135卷
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D O I：
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学科分类号：
摘要：
The main goal of the paper is to establish time semidiscrete and space-time fully discrete maximal parabolic regularity for the time discontinuous Galerkin solution of linear parabolic equations. Such estimates have many applications. They are essential, for example, in establishing optimal a priori error estimates in non-Hilbertian norms without unnatural coupling of spatial mesh sizes with time steps.
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页码：923 / 952
页数：29
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