VIRTUAL ELEMENTS FOR A SHEAR-DEFLECTION FORMULATION OF REISSNER-MINDLIN PLATES

被引：32

作者：

Beirao Da Veiga, L. ^{[1
]}

Mora, D. ^{[2
]}

Rivera, G. ^{[3
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy

[2] Univ Concepcion, Dept Matemat, Univ Biobio, Casilla 5-C,Chile & CI2MA, Concepcion, Chile

[3] Univ Los Lagos, Dept Ciencias Exactas, Casilla 933, Osorno, Chile

来源：

MATHEMATICS OF COMPUTATION | 2019年 / 88卷 / 315期

关键词：

Virtual element method; Reissner-Mindlin plates; error analysis; polygonal meshes; DISCONTINUOUS GALERKIN METHODS; INTERPOLATION;

D O I：

10.1090/mcom/3331

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a virtual element method for the Reissner-Mindlin plate bending problem which uses shear strain and deflection as discrete variables without the need of any reduction operator. The proposed method is conforming in [H-1(Omega)](2) x H-2(Omega) and has the advantages of using general polygonal meshes and yielding a direct approximation of the shear strains. The rotations are then obtained by a simple post-process from the shear strain and deflection. We prove convergence estimates with involved constants that are uniform in the thickness t of the plate. Finally, we report numerical experiments which allow us to assess the performance of the method.

引用

页码：149 / 178

页数：30

共 48 条

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