Virtual Element Method for fourth order problems: L2-estimates

被引：52

作者：

Chinosi, Claudia ^{[1
]}

Marini, L. Donatella ^{[2
,3
]}

机构：

[1] Univ Piemonte Orientale, Dipartimento Sci & Innovaz Tecnol, Viale Teresa Michel 11, I-15100 Alessandria, Italy

[2] Univ Pavia, Dipartimento Matemat, Via Ferrata 1, I-27100 Pavia, Italy

[3] IMATI CNR, Via Ferrata 1, I-27100 Pavia, Italy

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 72卷 / 08期

关键词：

Fourth-order problems; C-1-virtual elements; LINEAR ELASTICITY PROBLEMS; MESHES;

D O I：

10.1016/j.camwa.2016.02.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyse the family of C-1-Virtual Elements introduced in Brezzi and Marini (2013) for fourth-order problems and prove optimal estimates in L-2 and in H-1 via classical duality arguments. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：1959 / 1967

页数：9

共 12 条

[1] Equivalent projectors for virtual element methods [J].

Ahmad, B. ;

Alsaedi, A. ;

Brezzi, F. ;

Marini, L. D. ;

Russo, A. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (03) :376-391

[2]

[Anonymous], 2013, SERIES COMPUTATIONAL

[3]

[Anonymous], 1992, Research in Applied Mathematics

[4]

[Anonymous], 1978, STUDIES MATH ITS APP

[5]

Beirao da Veiga L., 2016, ESAIM MATH IN PRESS

[6] Virtual Element Methods for plate bending problems [J].

Brezzi, Franco ;

Marini, L. Donatella .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2013, 253 :455-462

[7] Virtual Element Method for general second-order elliptic problems on polygonal meshes [J].

da Veiga, L. Beirao ;

Brezzi, F. ;

Marini, L. D. ;

Russo, A. .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2016, 26 (04) :729-750

[8] VIRTUAL ELEMENTS FOR LINEAR ELASTICITY PROBLEMS [J].

da Veiga, L. Beirao ;

Brezzi, F. ;

Marini, L. D. .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2013, 51 (02) :794-812

[9]

da Volga L. Beirao, 2013, MATH MOD METH APPL S, V23, P199, DOI DOI 10.1142/S0218202512500492

[10] On the Virtual Element Method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes [J].

Gain, Arun L. ;

Talischi, Cameron ;

Paulino, Glaucio H. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2014, 282 :132-160

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