Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers' equation
type: Item
instance of: scholarly article
title: Reduced basis approximation and a posteriori error estimation for the time-dependent viscous Burgers' equation
zbMATH Open document ID: 1178.65109
author: Gianluigi Rozza
author: Ngoc C. Nguyen
author: Anthony T. Patera
published in: Calcolo
publication date: 2009-10-19T00:00:00Z
review text: The authors analyze a reduced-basis Galerkin method for the Burgers equation. The method starts with the construction of a set of solutions at sample times, \(t_k\), with sample viscosities,~\(\nu_j\). A reduced basis is derived from this solution set, and the integrals required by the Galerkin method are stored. This permits the subsequent rapid computation of solutions. The paper gives error bounds.
reviewed by: Gerald W. Hedstrom
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 5617999
zbMATH Keywords: Burgers equation
zbMATH Keywords: Galerkin method
zbMATH Keywords: reduced basis
zbMATH Keywords: error bounds
MaRDI profile type: Publication
full work available at URL: s10092-009-0005-x
OpenAlex ID: W1977681898
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DOI: 10.1007/S10092-009-0005-X
description: scientific article; zbMATH DE number 5617999