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

页码：326 / 342

页数：17

共 29 条

[21] A unified convergence analysis for local projection stabilisations applied to the oseen problem [J].