Analysis of HDG Methods for Oseen Equations

被引：0
作者：
Aycil Cesmelioglu
Bernardo Cockburn
Ngoc Cuong Nguyen
Jaume Peraire
机构：
[1] Oakland University,Department of Mathematics and Statistics
[2] University of Minnesota,School of Mathematics
[3] Massachusetts Institute of Technology,Department of Aeronautics and Astronautics
来源：
Journal of Scientific Computing | 2013年 / 55卷
关键词：
Oseen equations; Discontinuous Galerkin methods; Hybridizable; Postprocessing; Superconvergence;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：392 / 431
页数：39
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