New bounding techniques for goal-oriented error estimation applied to linear problems-Reference-Cited by-同舟云学术

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New bounding techniques for goal-oriented error estimation applied to linear problems

Published:2012-12-21 Issue:13 Volume:93 Page:1345-1380
ISSN:0029-5981
Container-title:International Journal for Numerical Methods in Engineering
language:en
Short-container-title:Int. J. Numer. Meth. Engng

Author:

Ladevèze P.¹,Pled F.¹,Chamoin L.¹

Affiliation:

1. LMT-Cachan (ENS-Cachan/CNRS/Paris 6 University); 61 Avenue du Président Wilson 94235 Cachan Cedex France

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/nme.4423/fullpdf

Reference48 articles.

1. The post-processing approach in the finite element method-part 2: the calculation of stress intensity factors;Babus̆ka;International Journal for Numerical Methods in Engineering,1984

2. A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations;Paraschivoiu;Computer Methods in Applied Mechanics and Engineering,1997

3. A feedback approach to error control in finite element methods: application to linear elasticity;Rannacher;Computational Mechanics,1997

4. A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem;Cirak;Computer Methods in Applied Mechanics and Engineering,1998

5. On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors;Prudhomme;Computer Methods in Applied Mechanics and Engineering,1999

Cited by 24 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An Introductory Review on A Posteriori Error Estimation in Finite Element Computations;SIAM Review;2023-11

2. Goal-oriented error estimation based on equilibrated flux and potential reconstruction for the approximation of elliptic and parabolic problems;Computers & Mathematics with Applications;2023-09

3. The simplest node-based equilibrium finite element for 2D Poisson equation with exploration of the equivalence among hybrid, flux-based and stress-function-based equilibrium elements;Engineering with Computers;2023-04-07

4. Goal-oriented a posteriori error estimation for the biharmonic problem based on an equilibrated moment tensor;Computers & Mathematics with Applications;2022-07

5. A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: Application to the hybridizable discontinuous Galerkin method;Computer Methods in Applied Mechanics and Engineering;2021-12

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