Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations

DOI10.1137/16M1071912zbMath1359.65207MaRDI QIDQ2968172

Buyang Li, Sun, Weiwei

Publication date: 10 March 2017

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

zbMATH Keywords

finite elementBDF methodsnonlinear parabolic equationsenergy techniquediscrete maximal parabolic regularitytime-dependent normsmaximum-norm error analysis

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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 (11)

Semidiscrete finite element approximation of time optimal control problems for semilinear heat equations with nonsmooth initial data ⋮ Discrete almost maximal regularity and stability for fractional differential equations in \(L^p([0, 1, \Omega)\)] ⋮ Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems ⋮ Discrete maximal regularity of time-stepping schemes for fractional evolution equations ⋮ On Stokes--Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes--Darcy Model ⋮ Lebesgue regularity for nonlocal time-discrete equations with delays ⋮ Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor ⋮ Discrete maximal regularity and the finite element method for parabolic equations ⋮ Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra ⋮ Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes ⋮ Maximal ℓ_p-regularity for discrete time Volterra equations with delay

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