The continuous Galerkin method is locally conservative
type: Item
instance of: scholarly article
title: The continuous Galerkin method is locally conservative
zbMATH Open document ID: 0969.65104
author: T. J. R. Hughes
author: Gerald Engel
author: Luca Mazzei
author: Mats G. Larson
published in: Journal of Computational Physics
publication date: 2001-10-04T00:00:00Z
review text: The authors examine the conservation law structure of the continuous Galerkin method for the scalar advection-diffusion equation, establish local conservation laws which pertain to subdomains consisting of a union of elements as well as individual elements. The results are quite general and apply to time-dependent, nonlinear systems as well and are somewhat surprising and contradict the widely held opinion that the continuous Galerkin method is not locally conservative.
reviewed by: Ziwen Jiang
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 1552737
zbMATH Keywords: conservation law
zbMATH Keywords: continuous Galerkin method
zbMATH Keywords: advection-diffusion equation
zbMATH Keywords: time-dependent, nonlinear systems
MaRDI profile type: Publication
full work available at URL: jcph.2000.6577
OpenAlex ID: W2083510900
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DOI: 10.1006/JCPH.2000.6577
description: scientific article; zbMATH DE number 1552737