Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes
type: Item
instance of: scholarly article
title: Discrete maximum principle for Galerkin approximations of the Laplace operator on arbitrary meshes
zbMATH Open document ID: 1049.65128
author: Erik Burman
author: Alexandre Ern
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2004-08-20T00:00:00Z
full work available at URL: http://infoscience.epfl.ch/record/125847
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 2093944
zbMATH Keywords: Galerkin method
zbMATH Keywords: Poisson equation
zbMATH Keywords: numerical examples
zbMATH Keywords: stability
zbMATH Keywords: error bound
zbMATH Keywords: discrete maximum principle
zbMATH Keywords: convection-diffusion-reaction equations
MaRDI profile type: Publication
OpenAlex ID: W2071066275
cites work: Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation
cites work: Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence
cites work: Maximum principle and uniform convergence for the finite element method
cites work: Elliptic partial differential equations of second order
cites work: Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
cites work: A monotone finite element scheme for convection-diffusion equations
DOI: 10.1016/J.CRMA.2004.02.010
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description: scientific article; zbMATH DE number 2093944