A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson Scheme

被引：14

作者：

Huang, Pengzhan ^{[1
]}

Feng, Xinlong ^{[1
]}

Liu, Demin ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 04期

基金：

中国博士后科学基金;

关键词：

Time-dependent Stokes equations; Crank-Nicolson scheme; Stabilized method; Unconditional stability; Error estimates; VOLUME METHOD; FORMULATION;

D O I：

10.1016/j.apm.2012.04.057

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme is considered in this paper. The method combines the Crank-Nicolson scheme with a stabilized finite element method which uses the lowest equalorder element pair, i.e., the stabilized finite element method is applied for the spatial approximation and the time discretization is based on the Crank-Nicolson scheme. Moreover, we present optimal error estimates and prove that the scheme is unconditionally stable and convergent. Finally, numerical tests confirm the theoretical results of the presented method. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1910 / 1919

页数：10

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