Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations
type: Item
instance of: scholarly article
title: Asymptotic a posteriori finite element bounds for the outputs of noncoercive problems: The Helmholtz and Burgers equations
zbMATH Open document ID: 0943.65124
DOI: 10.1016/S0045-7825(98)00244-8
author: J. Peraire
author: Anthony T. Patera
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-09-10T00:00:00Z
review text: A posteriori finite element error bounds for certain linear functionals of the solutions to linear and semilinear elliptic equations are derived. Under weak hypotheses on the behavior of the numerical solution reliable upper and lower bounds on the functionals can be given and verified in practical one-dimensional computations with Helmholtz' and Burger equation.
reviewed by: Thomas Sonar
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 1422565
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: numerical examples
zbMATH Keywords: finite element
zbMATH Keywords: error bounds
zbMATH Keywords: semilinear elliptic equations
zbMATH Keywords: Burger equation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1422565