A New Edge Stabilization Method for the Convection-Dominated Diffusion-Convection Equations

被引：0
|
作者：
Duan, Huoyuan [1 ]
Wei, Yu [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
COMPUTATIONAL SCIENCE - ICCS 2018, PT III | 2018年 / 10862卷
关键词：
Diffusion-convection equation; Stabilized finite element method; Stability; Error estimates; FINITE-ELEMENT-METHOD; COMPUTATIONAL FLUID-DYNAMICS; RESIDUAL-FREE BUBBLES; LEAST-SQUARES METHOD; ADVECTION; FORMULATION; APPROXIMATION;
D O I：
10.1007/978-3-319-93713-7_4
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We study a new edge stabilization method for the finite element discretization of the convection-dominated diffusion-convection equations. In addition to the stabilization of the jump of the normal derivatives of the solution across the inter-element-faces, we additionally introduce a SUPG/GaLS-like stabilization term but on the domain boundary other than in the interior of the domain. New stabilization parameters are also designed. Stability and error bounds are obtained. Numerical results are presented. Theoretically and numerically, the new method is much better than other edge stabilization methods and is comparable to the SUPG method, and generally, the new method is more stable than the SUPG method.
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页码：48 / 60
页数：13
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