On the natural stabilization of convection dominated problems using high order Bubnov-Galerkin finite elements

被引：8

作者：

Cai, Q. ^{[1
]}

Kollmannsberger, S. ^{[1
]}

Sala-Lardies, E. ^{[2
]}

Huerta, A. ^{[2
]}

Rank, E. ^{[1
]}

机构：

[1] Tech Univ Munich, Fac Civil Engn & Geodesy, D-80290 Munich, Germany

[2] Univ Politecn Cataluna, Lab Calcul Numer LaCaN, Dept Matemat Aplicada 3, E-08034 Barcelona, Spain

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2014年 / 66卷 / 12期

关键词：

p-FEM; Convection-diffusion problems; Singular-perturbation problem with boundary layer; NAVIER-STOKES EQUATIONS; ADVECTION-DIFFUSION PROBLEMS; RESIDUAL-FREE BUBBLES; ERROR ANALYSIS; DISCRETIZATIONS; FORMULATION; PROJECTION;

D O I：

10.1016/j.camwa.2013.09.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the case of dominating convection, standard Bubnov-Galerkin finite elements are known to deliver oscillating discrete solutions for the convection diffusion equation. This paper demonstrates that increasing the polynomial degree (p-extension) limits these artificial numerical oscillations. This is contrary to a widespread notion that an increase of the polynomial degree destabilizes the discrete solution. This treatise also provides explicit expressions as to which polynomial degree is sufficiently high to obtain stable solutions for a given Peclet number at the nodes of a mesh. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：2545 / 2558

页数：14

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