Weak discrete maximum principle of finite element methods in convex polyhedra

DOI10.1090/mcom/3560zbMath1452.65348arXiv1909.06783OpenAlexW3026907150MaRDI QIDQ5130992

Dmitriy Leykekhman, Buyang Li

Publication date: 31 October 2020

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

Full work available at URL: https://arxiv.org/abs/1909.06783

zbMATH Keywords

maximum principleLaplace equationGalerkin finite element solution

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra ⋮ Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations ⋮ On pointwise error estimates for Voronoï-based finite volume methods for the Poisson equation on the sphere ⋮ Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra ⋮ The pointwise stabilities of piecewise linear finite element method on non-obtuse tetrahedral meshes of nonconvex polyhedra

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