Analysis of HDG Methods for Oseen Equations

被引：38

作者：

Cesmelioglu, Aycil ^{[1
]}

Cockburn, Bernardo ^{[2
]}

Ngoc Cuong Nguyen ^{[3
]}

Peraire, Jaume ^{[3
]}

机构：

[1] Oakland Univ, Dept Math & Stat, Rochester, MI 48309 USA

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[3] MIT, Dept Aeronaut & Astronaut, Cambridge, MA 02139 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2013年 / 55卷 / 02期

基金：

美国国家科学基金会;

关键词：

Oseen equations; Discontinuous Galerkin methods; Hybridizable; Postprocessing; Superconvergence; DISCONTINUOUS GALERKIN METHOD; MIXED FINITE-ELEMENTS;

D O I：

10.1007/s10915-012-9639-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a hybridizable discontinuous Galerkin (HDG) method to numerically solve the Oseen equations which can be seen as the linearized version of the incompressible Navier-Stokes equations. We use same polynomial degree to approximate the velocity, its gradient and the pressure. With a special projection and postprocessing, we obtain optimal convergence for the velocity gradient and pressure and superconvergence for the velocity. Numerical results supporting our theoretical results are provided.

引用

页码：392 / 431

页数：40

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