A posteriori analysis of a finite element discretization of a Naghdi shell model

被引：6

作者：

Bernardi, Christine ^{[1
,2
]}

Hecht, Frederic ^{[1
,2
]}

Le Dret, Herve ^{[1
,2
]}

Blouza, Adel ^{[3
]}

机构：

[1] CNRS, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France

[2] Univ Paris 06, UMR 7598, Lab Jacques Louis Lions, F-75005 Paris, France

[3] Univ Rouen, Lab Math Raphael Salem, UMR 6085, CNRS, F-76801 St Etienne, France

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2013年 / 33卷 / 01期

关键词：

Naghdi shell model; finite elements; a posteriori analysis; ERROR ESTIMATION; PLATE; APPROXIMATION; UNIQUENESS; EXISTENCE; LOCKING;

D O I：

10.1093/imanum/drs009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are interested in the finite element discretization of the Naghdi equations, which model a thin three-dimensional shell. The discrete problem is derived from a mixed formulation of these equations. Its a posteriori analysis leads to the construction of error indicators, which satisfy optimal estimates. We describe a mesh adaptivity strategy relying on these indicators and we present some numerical experiments that confirm its efficiency.

引用

页码：190 / 211

页数：22

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