FETI-DP FOR THE THREE DIMENSIONAL VIRTUAL ELEMENT METHOD

被引：10

作者：

Bertoluzza, Silvia ^{[1
]}

Pennacchio, Micol ^{[1
]}

Prada, Daniele ^{[1
]}

机构：

[1] CNR, IMATI, Ist Matemat Applicata & Tecnol Informat E Magenes, I-27100 Pavia, PV, Italy

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2020年 / 58卷 / 03期

基金：

欧洲研究理事会;

关键词：

virtual element method; domain decomposition methods; substructuring preconditioners; 2ND-ORDER ELLIPTIC PROBLEMS; ELASTICITY PROBLEMS; DIFFUSION-PROBLEMS; STOKES PROBLEM; BDDC; PRECONDITIONERS; ALGORITHM; CONVERGENCE; FORMULATION; VERSION;

D O I：

10.1137/18M1233303

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the finite element tearing and interconnecting dual primal preconditioner for elliptic problems discretized by the virtual element method. We extend the result of [S. Bertoluzza, M. Pennacchio, and D. Prada, Calcolo, 54 (2017), pp. 1565-1593] to the three dimensional case. We prove polylogarithmic condition number bounds, independent of the number of subdomains, the mesh size, and jumps in the diffusion coefficients. Numerical experiments validate the theory.

引用

页码：1556 / 1591

页数：36

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