A reduced finite element formulation based on proper orthogonal decomposition for Burgers equation
type: Item
instance of: scholarly article
title: A reduced finite element formulation based on proper orthogonal decomposition for Burgers equation
zbMATH Open document ID: 1169.65096
published in: Applied Numerical Mathematics
publication date: 2009-07-02T00:00:00Z
review text: The authors apply a proper orthogonal decomposition (POD) method to a usual finite element (FE) formulation for sufficiently Burgers equation such that it is reduced into a POD FE formulation with lower dimensions and high accuracy. The errors between the reduced POD FE solution and the usual FE solution are analyzed. It is shown by numerical examples that the results of numerical computation are consistent with theoretical conclusions. This validates the feasibility and efficiency of the POD method.
reviewed by: Răzvan Răducanu
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 5574508
zbMATH Keywords: proper orthogonal decomposition
zbMATH Keywords: finite element formulation
zbMATH Keywords: error analysis
zbMATH Keywords: Burgers equation
zbMATH Keywords: error bounds
zbMATH Keywords: numerical examples
author: Zhendong Luo
author: Yan Jie Zhou
author: Xiaozhong Yang
MaRDI profile type: Publication
full work available at URL: j.apnum.2008.12.034
OpenAlex ID: W1983834579
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DOI: 10.1016/J.APNUM.2008.12.034
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description: scientific article; zbMATH DE number 5574508