The Hitchhiker's Guide to the Virtual Element Method

被引:498
作者
da Veiga, L. Beirao [1 ]
Brezzi, F. [2 ,3 ]
Marini, L. D. [3 ,4 ]
Russo, A. [5 ]
机构
[1] Univ Milano Statale, Dipartimento Matemat, I-20133 Milan, Italy
[2] IUSS Pavia, I-27100 Pavia, Italy
[3] IMATI CNR, I-27100 Pavia, Italy
[4] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
[5] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20153 Milan, Italy
关键词
Virtual Element Method; polygonal meshes; polyhedral meshes; implementation guide; FINITE-DIFFERENCE METHODS; POLYGONAL MESHES; POLYHEDRAL MESHES; MIMETIC DISCRETIZATIONS; ELLIPTIC PROBLEMS; DIFFUSION-PROBLEMS; VOLUME METHOD; CONVERGENCE; PRINCIPLES;
D O I
10.1142/S021820251440003X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present the essential ingredients in the Virtual Element Method for a simple linear elliptic second-order problem. We emphasize its computer implementation, which will enable interested readers to readily implement the method.
引用
收藏
页码:1541 / 1573
页数:33
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