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Abstract: We present an implicit a-posteriori finite element procedure to compute bounds for functional outputs of finite element solutions in large strain elasticity. The method proposed relies on the existence of a potential energy functional whose local minima, over a space of suitably chosen continuous functions, corresponds to the problem solution. The output of interest is cast as a constrained minimization problem over an enlarged discontinuous finite element space. A Lagrangian is formed were the ... (Update)
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BibTeX entry: (Update)
@misc{ bonet-efficient,
author = "J. Bonet and A. Huerta and J. Peraire",
title = "The Efficient Computation of Bounds for Functionals of Finite Element Solutions
in Large Strain Elasticity",
url = "citeseer.ist.psu.edu/607929.html" }
Citations (may not include all citations):164 Introduction to applied mathematics (context) - Strang - 1986
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50 A Posteriori Error Estimation in Finite ELement Analysis (context) - Ainsworth, Oden - 2000
44 Mathematical foundations of elasticity (context) - Marsden, Hughes - 1983
27 Mixed and hybrid nite element methods (context) - Brezzi, Fortin - 1991
20 Bounds for linear-functional outputs of coercive partial di .. - Peraire, Patera - 1998
12 Weighted a posteriori error control in nite element methods (context) - Becker, Rannacher - 1996
10 A posteriori error estimates for the nite element method (context) - Babu, Rheinboltd - 1978
9 A posteriori nite element bounds for linear-functional outpu.. (context) - Paraschivoiu, Peraire et al. - 1997
8 A uni ed approach to a posteriori error estimation based on .. (context) - Ainsworth, Oden - 1993
5 Error estimate procedure in the nite element method and appl.. (context) - Ladev, Leguillon - 1983
3 A hierarchy duality approach to bounds for the outputs of pa.. (context) - Paraschivoiu, Patera - 1998
2 Nonlinear continuum mechanics for nite element analysis (context) - Bonet, Wood - 1997
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