A low-order discontinuous Petrov-Galerkin method for the Stokes equations
type: Item
instance of: scholarly article
title: A low-order discontinuous Petrov-Galerkin method for the Stokes equations
zbMATH Open document ID: 1401.65131
author: Sophie Puttkammer
author: C. Carstensen
published in: Numerische Mathematik
publication date: 2018-08-16T00:00:00Z
review text: The authors propose a low-order discontinuous Petrov-Galerkin finite element method for the Stokes equations. The approach relies on piecewise constant and affine ansatz functions and piecewise affine and discontinuous lowest-order Raviart-Thomas test search functions. This low-order discretization for the Stokes equations allows for a direct proof of the discrete inf-sup condition with explicit constants. A priori and a posteriori error analysis of the method in the natural norms is provided along with several numerical experiments.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76M10
zbMATH DE Number: 6919802
zbMATH Keywords: Stokes
zbMATH Keywords: discontinuous Petrov Galerkin
zbMATH Keywords: low-order discretization
zbMATH Keywords: a priori
zbMATH Keywords: a posteriori
zbMATH Keywords: adaptive mesh refinement
describes a project that uses: na14
MaRDI profile type: Publication
full work available at URL: s00211-018-0965-3
OpenAlex ID: W2796629565
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DOI: 10.1007/S00211-018-0965-3
description: scientific article; zbMATH DE number 6919802