A DISCONTINUOUS PETROV-GALERKIN METHOD FOR REISSNER-MINDLIN PLATES

被引：0

作者：

Fuhrer, Thomas ^{[1
]}

Heuer, Norbert ^{[1
]}

Niemi, Antti H. ^{[2
]}

机构：

[1] Pontificia Univ Catolica Chile, Fac Matemat, Santiago, Chile

[2] Univ Oulu, Fac Technol, Civil Engn Res Unit, Pentti Kaiteran Katu 1, Oulu 90570, Finland

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2023年 / 61卷 / 02期

关键词：

DPG method; plate bending; Reissner-Mindlin model; locking; FINITE-ELEMENT-METHOD; LEAST-SQUARES; DPG METHODS;

D O I：

10.1137/22M1498838

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model. Our method is based on a variational formulation that utilizes a Helmholtz decomposition of the shear force. It produces approximations of the primitive variables and the bending moments. For any canonical selection of boundary conditions the method converges quasi-optimally. In the case of hard-clamped convex plates, we prove that the lowest-order scheme is locking free. Several numerical experiments confirm our results.

引用

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页码：995 / 1017

页数：23

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