ANALYSIS OF THE DISCONTINUOUS GALERKIN INTERIOR PENALTY METHOD WITH SOLENOIDAL APPROXIMATIONS FOR THE STOKES EQUATIONS

被引：0
|
作者：
Montlaur, Adeline [1 ]
Fernandez-Mendez, Sonia [2 ]
机构：
[1] Escola Engn Telecomunicacio & Aeroespacial Castel, Cataluna, Spain
[2] ETS Engn Gamins Canals & Ports Barcelona, Barcelona, Spain
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2014年 / 11卷 / 04期
关键词：
Discontinuous Galerkin; Stokes equations; incompressible flow; divergence-free; Interior Penalty Method; error bounds; FINITE-ELEMENT-METHOD; PART I; FLOW;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The discontinuous Galerkin Interior Penalty Method with solenoidal approximations proposed in [13] for the incompressible Stokes equations is analyzed. Continuity and coercivity of the bilinear form are proved. A priori error estimates, with optimal convergence rates, are derived. 2D and 3D numerical examples with known analytical solution corroborate the theoretical analysis.
引用
收藏
页码：715 / 725
页数：11
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