Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems

DOI10.1137/17M114100XzbMath1402.65113arXiv1707.09163OpenAlexW2740274469MaRDI QIDQ4577230

Boris Vexler, Dmitriy Leykekhman

Publication date: 3 August 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09163

zbMATH Keywords

finite elementstime-dependent coefficientsoptimal error estimatesdiscontinuous Galerkin methodsparabolic problemsmaximal parabolic regularitydiscrete maximal parabolic regularitynonautonomous problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

On Maximal Regularity Estimates for Discontinuous Galerkin Time-Discrete Methods ⋮ Space-time methods for time-dependent partial differential equations. Abstracts from the workshop held February 6--12, 2022 ⋮ Two new error estimates of a fully discrete primal-dual mixed finite element scheme for parabolic equations in any space dimension ⋮ Optimal error estimate of the finite element approximation of second order semilinear non-autonomous parabolic PDEs ⋮ Numerical analysis of quasilinear parabolic equations under low regularity assumptions

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