A posteriori error estimation in finite element analysis. Ainsworth, M., Oden, & Tinsley, J Computer Methods in Applied Mechanics and Engineering, 142:1--88, 1997.
Paper doi abstract bibtex This monograph presents a summary account of the subject of a posteriori error estimation for finite element approximations of problems in mechanics. The study primarily focuses on methods for linear elliptic boundary value problems. However, error estimation for unsymmetrical systems, nonlinear problems, including the Navier-Stokes equations, and indefinite problems, such as represented by the Stokes problem are included. The main thrust is to obtain error estimators for the error measured in the energy norm, but techniques for other norms are also discussed.
@article{ Ainsworth1997,
abstract = {This monograph presents a summary account of the subject of a posteriori error estimation for finite element approximations of problems in mechanics. The study primarily focuses on methods for linear elliptic boundary value problems. However, error estimation for unsymmetrical systems, nonlinear problems, including the Navier-Stokes equations, and indefinite problems, such as represented by the Stokes problem are included. The main thrust is to obtain error estimators for the error measured in the energy norm, but techniques for other norms are also discussed.},
author = {Ainsworth, Mark and Oden, J Tinsley},
doi = {10.1016/S0045-7825(96)01107-3},
isbn = {047129411X},
issn = {0045-7825},
journal = {Computer Methods in Applied Mechanics and Engineering},
pages = {1--88},
title = {{A posteriori error estimation in finite element analysis}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0045782596011073},
volume = {142},
year = {1997}
}
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