Stabilization by Local Projection for Convection-Diffusion and Incompressible Flow Problems

被引：43
作者：
Ganesan, Sashikumaar [1 ]
Tobiska, Lutz [1 ]
机构：
[1] Otto Von Guericke Univ, Dept Math, Inst Anal & Computat Math, D-39016 Magdeburg, Germany
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2010年 / 43卷 / 03期
关键词：
Convection-diffusion equations; Incompressible flows; Local projection stabilization; Finite elements; Boundary layers; FINITE-ELEMENT METHODS; PETROV-GALERKIN FORMULATIONS; BUBBLES; ADVECTION;
D O I：
10.1007/s10915-008-9259-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a survey on recent developments of stabilization methods based on local projection type. The considered class of problems covers scalar convection-diffusion equations, the Stokes problem and the linearized Navier-Stokes equations. A new link of local projection to the streamline diffusion method is shown. Numerical tests for different type of boundary layers arising in convection-diffusion problems illustrate the stabilizing properties of the method.
引用
收藏
页码：326 / 342
页数：17
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