Piece-wise constant approximations in the membrane problem

被引：2
|
作者：
Davini, C
机构：
[1] Univ Udine, Dipartimento Ingn Civile, I-33100 Udine, Italy
[2] LMGC, Montpellier, France
来源：
MECCANICA | 2003年 / 38卷 / 05期
关键词：
numerical methods; non-conforming approximations; Gamma-convergence; membranes;
D O I：
10.1023/A:1024762710526
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We present a technique for the approximation of quadratic variational problems of the first order in spaces of piece-wise constant functions. The method adopts ideas from the theory of Gamma-convergence as a guideline, and it differs from more traditional non-conforming techniques because it is based on the introduction of a suitable sequence of discrete functionals to be minimized with no constraints and without requiring that the spline functions fulfill any patch test condition.
引用
收藏
页码：555 / 569
页数：15
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