Order preserving SUPG stabilization for the virtual element formulation of advection-diffusion problems

被引：92
作者：
Benedetto, M. F. [1 ]
Berrone, S. [2 ]
Borio, A. [2 ]
Pieraccini, S. [2 ]
Scialo, S. [2 ]
机构：
[1] Univ Buenos Aires, CONICET, INTECIN, Fac Ingn, Buenos Aires, DF, Argentina
[2] Politecn Torino, Dipartimento Sci Matemat, Corso Duca Abruzzi 24, I-10129 Turin, Italy
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2016年 / 311卷
关键词：
Virtual element methods; Advection-diffusion problem; SUPG; Stability; Convergence; STATIONARY; STABILITY; FLOW;
D O I：
10.1016/j.cma.2016.07.043
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In the framework of the discretization of advection diffusion problems by means of the Virtual Element Method, we consider stabilization issues. Herein, stabilization is pursued by adding a consistent SUPG-like term. For this approach we prove optimal rates of convergence. Numerical results clearly show the stabilizing effect of the method up to very large Peclet numbers and are in very good agreement with the expected rate of convergence. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：18 / 40
页数：23
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