H(div) and H(curl)-conforming virtual element methods

被引：1
|
作者：
da Veiga, L. Beirao [1 ,5 ]
Brezzi, F. [2 ,5 ]
Marini, L. D. [3 ,5 ]
Russo, A. [4 ,5 ]
机构：
[1] Univ Milan, Dipartimento Matemat, Via Saldini 50, I-20133 Milan, Italy
[2] IUSS, Piazza Vittoria 15, I-27100 Pavia, Italy
[3] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
[4] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Cozzi 57, I-20125 Milan, Italy
[5] IMATI CNR, Via Ferrata 1, I-27100 Pavia, Italy
来源：
NUMERISCHE MATHEMATIK | 2016年 / 133卷 / 02期
关键词：
FINITE-DIFFERENCE METHOD; DIFFUSION-PROBLEMS; MIMETIC DISCRETIZATIONS; PARTICLE-PARTITION; ELLIPTIC PROBLEMS; UNITY METHOD; CONSTRUCTION; CURL; CONVERGENCE; FORMULATION;
D O I：
10.1007/s00211-015-0746-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we construct virtual element spaces that are H(div)-conforming and H(curl)-conforming on general polygonal and polyhedral elements; these spaces can be interpreted as a generalization of well known finite elements. We moreover present the basic tools needed to make use of these spaces in the approximation of partial differential equations. Finally, we discuss the construction of exact sequences of VEM spaces.
引用
收藏
页码：303 / 332
页数：30
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