On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
type: Item
instance of: scholarly article
title: On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
zbMATH Open document ID: 0945.65123
DOI: 10.1016/S0045-7825(98)00343-0
author: J. Tinsley Oden
author: Serge Prudhomme
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-01-04T00:00:00Z
review text: The authors present a theory of goal-oriented error estimation. It involves the computation of an influence function for each quantity of interest. The influence function which is obtained as the solution of a dual problem indicates how the residual error influences the error in the particular measure. The performance of the method is shown on a one-dimensional problem.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1383991
zbMATH Keywords: elliptic problems
zbMATH Keywords: error bounds
zbMATH Keywords: error control
zbMATH Keywords: finite elements
zbMATH Keywords: performance
reviewed by: Aurél Galántai
MaRDI profile type: Publication
cites work: A unified approach to a posteriori error estimation using element residual methods
cites work: A posteriori error estimation in finite element analysis
cites work: A‐posteriori error estimates for the finite element method
cites work: Validation of a posteriori error estimators by numerical approach
cites work: Q5690367
cites work: A Posteriori Error Estimates Based on Hierarchical Bases
cites work: Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
cites work: Q3124137
cites work: Weighted a posteriori error control in FE methods
cites work: Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
cites work: Error Estimate Procedure in the Finite Element Method and Applications
cites work: A posteriori error estimation and error control for finite element approximations of the time-dependent Navier--Stokes equations
cites work: Q4104278
cites work: A hierarchical duality approach to bounds for the outputs of partial differential equations
cites work: A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
cites work: A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity
cites work: Q4886148
cites work: The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
cites work: The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
Wikidata QID: Q127342949
description: scientific article; zbMATH DE number 1383991