A posteriori error estimation in finite element analysis

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 pro...

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Bibliographic Details
Published in:	Computer methods in applied mechanics and engineering 1997-03, Vol.142 (1), p.1-88
Main Authors:	Ainsworth, Mark, Oden, J.Tinsley
Format:	Article
Language:	eng
Subjects:	Computational techniques Exact sciences and technology Finite-element and galerkin methods Fundamental areas of phenomenology (including applications) Mathematical methods in physics Other topics in continuum mechanics of solids Other topics in solid mechanics Physics Solid mechanics
Online Access:	Get full text
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Summary:	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.
ISSN:	0045-7825 1879-2138