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
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
收藏
页码:1959 / 1967
页数:9
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