Error Analysis for Galerkin POD Approximation of the Nonstationary Boussinesq Equations

被引：11
|
作者：
Ravindran, S. S. [1 ]
机构：
[1] Univ Alabama, Dept Math Sci, Huntsville, AL 35899 USA
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 27卷 / 06期
基金：
美国国家航空航天局; 美国国家科学基金会;
关键词：
Boussinesq equations; error estimates; POD-Galerkin method; reduced order modeling; PROPER ORTHOGONAL DECOMPOSITION; TURBULENCE;
D O I：
10.1002/num.20602
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study error estimates for approximate solutions of POD Galerkin type for the equations for the motion of a nonstationary viscous thermally conducting fluid in a bounded domain. Time discretization is based on backward Euler scheme. We study both the fully implicit and semi-implicit versions of this scheme. (C) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1639-1665, 2011
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页码：1639 / 1665
页数：27
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