Some Estimates for Virtual Element Methods

被引：130
|
作者：
Brenner, Susanne C. [1 ,2 ]
Guan, Qingguang [1 ,2 ]
Sung, Li-Yeng [1 ,2 ]
机构：
[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA
来源：
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2017年 / 17卷 / 04期
基金：
美国国家科学基金会;
关键词：
Virtual Elements; Polygonal/Polyhedral Meshes; Poisson Problem; 2ND-ORDER ELLIPTIC PROBLEMS; LINEAR ELASTICITY PROBLEMS; POLYGONAL MESHES; SOBOLEV SPACES;
D O I：
10.1515/cmam-2017-0008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present novel techniques for obtaining the basic estimates of virtual element methods in terms of the shape regularity of polygonal/polyhedral meshes. We also derive new error estimates for the Poisson problem in two and three dimensions.
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页码：553 / 574
页数：22
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