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

页码：715 / 725

页数：11

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