A characteristics-mixed finite element method for Burgers' equation.
type: Item
instance of: scholarly article
title: A characteristics-mixed finite element method for Burgers' equation.
zbMATH Open document ID: 1053.65083
DOI: 10.1007/BF02935745
author: Ziwen Jiang
author: Huanzhen Chen
published in: Journal of Applied Mathematics and Computing
publication date: 2004-09-28T00:00:00Z
review text: This paper proposes a numerical method for Burgers' equation with periodic boundary conditions. The method involves temporal integration along the characteristic curves, and the spatial discretization is made by a mixed finite element method using Raviart-Thomas basis functions of low order. Error bounds are obtained in the \(L^2\) norm.
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 2103970
zbMATH Keywords: Burgers' equation
zbMATH Keywords: method of characteristics
zbMATH Keywords: mixed finite elements
zbMATH Keywords: error bounds
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02935745
OpenAlex ID: W2095078721
description: scientific article; zbMATH DE number 2103970