Higher-order discontinuous Galerkin time stepping and local projection stabilization techniques for the transient Stokes problem

被引：18
|
作者：
Ahmed, Naveed [1 ]
Becher, Simon [2 ]
Matthies, Gunar [2 ]
机构：
[1] Weierstr Inst Appl Anal & Stochast WIAS, Mohrenstr 39, D-10117 Berlin, Germany
[2] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2017年 / 313卷
关键词：
Stabilized finite elements; Transient Stokes equations; Equal-order elements; Local projection; Discontinuous Galerkin methods; FINITE-ELEMENT-METHOD; ERROR ANALYSIS; EQUATIONS; DISCRETIZATION; APPROXIMATIONS; EULER;
D O I：
10.1016/j.cma.2016.09.026
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We introduce and analyze discontinuous Galerkin time discretizations coupled with continuous finite element methods based on equal-order interpolation in space for velocity and pressure in transient Stokes problems. Spatial stability of the pressure is ensured by adding a stabilization term based on local projection. We present error estimates for the semi-discrete problem after discretization in space only and for the fully discrete problem. The fully discrete pressure shows an instability in the limit of small time step length. Numerical tests are presented which confirm our theoretical results including the pressure instability. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：28 / 52
页数：25
相关论文
共 50 条
12345