Generalized Hessian and External Approximations in Variational Problems of Second Order

被引：0
|
作者：
Cesare Davini
Roberto Paroni
机构：
[1] Universitá degli Studi di Udine,Dipartimento di Ingegneria Civile
来源：
Journal of Elasticity | 2003年 / 70卷
关键词：
numerical methods; non-conforming approximations; Γ-convergence; anisotropic plates;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：149 / 174
页数：25
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