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Generalized Hessian and external approximations in variational problems of second order

Davini, Cesare and Paroni, Roberto (2003) Generalized Hessian and external approximations in variational problems of second order. Journal of Elasticity, Vol. 70 (1-3), p. 149-174. eISSN 1573-2681. Article.

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DOI: 10.1023/B:ELAS.0000005534.03840.19

Abstract

We introduce a suitable notion of generalized Hessian and show that it can be used to construct approximations by means of piecewise linear functions to the solutions of variational problems of second order. An important guideline of our argument is taken from the theory of the Γ-convergence. The convergence of the method is proved for integral functionals whose integrand is convex in the Hessian and satisfies standard growth conditions.

Item Type:Article
ID Code:3003
Status:Published
Refereed:Yes
Uncontrolled Keywords:Numerical methods, non-conforming approximations, Γ-convergence, anisotropic plates
Subjects:Area 08 - Ingegneria civile e Architettura > ICAR/08 Scienza delle costruzioni
Divisions:001 Università di Sassari > 01 Dipartimenti > Architettura e pianificazione
Publisher:Kluwer Academic / Springer
eISSN:1573-2681
Deposited On:16 Sep 2009 13:34

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