Galerkin proper orthogonal decomposition methods for parabolic problems

被引：457

作者：

Kunisch, K ^{[1
]}

Volkwein, S ^{[1
]}

机构：

[1] Graz Univ, Inst Math, A-8010 Graz, Austria

来源：

NUMERISCHE MATHEMATIK | 2001年 / 90卷 / 01期

关键词：

Mathematics Subject Classification (1991): 35K20, 65Nxx;

D O I：

10.1007/s002110100282

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work error estimates for Galerkin proper orthogonal decomposition (POD) methods for linear and certain non-linear parabolic systems are proved. The resulting error bounds depend on the number of POD basis functions and on the time discretization. Numerical examples are included.

引用

页码：117 / 148

页数：32

共 20 条

[1] AFANASIEV K, 2001, SHAPE OPTIMIZATION O
[2] ARIAN E, 2000, 200025 ICASE
[3] Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations
Atwell, JA
King, BB
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2001, 33 (1-3) : 1 - 19
[4] ATWELL JA, IN PRESS SIAM J SCI
[5] Banks H., 1998, CRSCTR9827 N CAR STA
[6] Berkooz G., 1996, CAMBRIDGE MONOGRAPHS
[7] Dautray R., 1992, MATH ANAL NUMERICAL, V5, pI
[8] FAHL M, IN PRESS MATH COMPUT
[9] Fukunaga K., 1990, Introduction to Statistical Recognition
[10] HINZE M, 1999, UNPUB 3 CONTROL METH

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