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Discrete maximal parabolic regularity for Galerkin finite element methods (1505.04808v2)
Published 18 May 2015 in math.NA
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, for establishing optimal a priori error estimates in non- Hilbertian norms without unnatural coupling of spatial mesh sizes with time steps.