An error analysis of a finite element method for a system of nonlinear advection-diffusion-reaction equations
type: Item
instance of: scholarly article
title: An error analysis of a finite element method for a system of nonlinear advection-diffusion-reaction equations
zbMATH Open document ID: 1169.65085
author: Biyue Liu
published in: Applied Numerical Mathematics
publication date: 2009-07-02T00:00:00Z
review text: The author presents an analysis of a finite element method for solving a system of nonlinear advection-diffusion-reaction equations. He proves the existence and uniqueness of the numerical solution, and obtains a prior error estimates optimal in \(H^{1}\) norm. Numerical results are also provided.
reviewed by: Răzvan Răducanu
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 5574509
zbMATH Keywords: nonlinear advection-diffusion-reaction equations
zbMATH Keywords: finite element method
zbMATH Keywords: error estimate
zbMATH Keywords: system
zbMATH Keywords: numerical results
describes a project that uses: chammp
MaRDI profile type: Publication
full work available at URL: j.apnum.2008.12.035
OpenAlex ID: W1971533120
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DOI: 10.1016/J.APNUM.2008.12.035
description: scientific article; zbMATH DE number 5574509