Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra

DOI10.1090/mcom/3316zbMath1403.65071arXiv1702.05696OpenAlexW2602340727MaRDI QIDQ4683157

Buyang Li

Publication date: 20 September 2018

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05696

zbMATH Keywords

finite element methodparabolic equationanalytic semigroupmaximum-norm stabilitynonconvex polyhedramaximal \(L^p\)-regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Maximum principles in context of PDEs (35B50) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

A posteriori error estimates for Radau IIA methods via maximal parabolic regularity ⋮ Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes ⋮ Error analysis of mixed finite element methods for nonlinear parabolic equations ⋮ An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data ⋮ Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra ⋮ Weak discrete maximum principle of finite element methods in convex polyhedra ⋮ Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions

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