An Error Estimate of the Proper Orthogonal Decomposition in Model Reduction and Data Compression

被引：3
|
作者：
Wang, A-xia [1 ,2 ]
Ma, Yi-Chen [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Shaanxi, Peoples R China
[2] Changan Univ, Sch Sci, Xian 710064, Shaanxi, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 25卷 / 04期
关键词：
the POD method; error estimate; the Navier-Stokes equations; model reduction; data compression; REDUCED-ORDER MODELS; FLUID; TURBULENCE; DYNAMICS; GALERKIN; SYSTEMS; FLOWS;
D O I：
10.1002/num.20393
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A kind of the proper orthogonal decomposition (POD) is used for data compression of rugged surface and reduction of the Navier-Stokes equations. An error estimate of the POD in model reduction and data compression is discussed. The numerical examples show that the error between the POD approximate solution and reference Solution is consistent with theoretical results, and also show that the proposed algorithm is feasible and efficient. (C) 2009 Wiley Periodicals, file. Numer Methods Partial Differential Eq 25: 972-989, 2009
引用
收藏
页码：972 / 989
页数：18
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