Discrete maximal parabolic regularity for Galerkin finite element methods

Dmitriy Leykekhman; Boris Vexler

doi:10.1007/s00211-016-0821-2

Discrete maximal parabolic regularity for Galerkin finite element methods

Dmitriy Leykekhman, Boris Vexler

Chair of Optimal Control

University of Connecticut

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	923-952
Number of pages	30
Journal	Numerische Mathematik
Volume	135
Issue number	3
DOIs	https://doi.org/10.1007/s00211-016-0821-2
State	Published - 1 Mar 2017

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abstract = "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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Discrete maximal parabolic regularity for Galerkin finite element methods

Abstract

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