Galerkin proper orthogonal decomposition methods for parabolic problems

作者: K. Kunisch , S. Volkwein

DOI: 10.1007/S002110100282

关键词:

摘要: … Proper orthogonal decomposition (POD) is a method for deriving low order models of … In this work error estimates for Galerkin POD based methods for parabolic systems are proved. The …

参考文章(13)
K. Kunisch, S. Volkwein, Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition Journal of Optimization Theory and Applications. ,vol. 102, pp. 345- 371 ,(1999) , 10.1023/A:1021732508059
Michael Hinze, Karl Kunisch, Three Control Methods for Time-Dependent Fluid Flow Flow Turbulence and Combustion. ,vol. 65, pp. 273- 298 ,(2000) , 10.1023/A:1011417305739
Gal Berkooz, John Leask Lumley, Philip Holmes, Turbulence, Coherent Structures, Dynamical Systems and Symmetry ,(1996)
Hung V. Ly, Hien T. Tran, Proper Orthogonal Decomposition for Flow Calculations and Optimal Control in a Horizontal CVD Reactor Quarterly of Applied Mathematics. ,vol. 60, pp. 631- 656 ,(1998) , 10.1090/QAM/1939004
and E.W. Sachs, E. Arian, M. Fahl, Trust-region proper orthogonal decomposition for flow control Institute for Computer Applications in Science and Engineering (ICASE). ,(2000)
Lawrence Sirovich, Turbulence and the dynamics of coherent structures. I. Coherent structures Quarterly of Applied Mathematics. ,vol. 45, pp. 561- 571 ,(1987) , 10.1090/QAM/910462
M. Fahl, Computation of POD basis functions for fluid flows with lanczos methods Mathematical and Computer Modelling. ,vol. 34, pp. 91- 107 ,(2001) , 10.1016/S0895-7177(01)00051-6
Hung V. Ly, Hien T. Tran, Modeling and control of physical processes using proper orthogonal decomposition Mathematical and Computer Modelling. ,vol. 33, pp. 223- 236 ,(2001) , 10.1016/S0895-7177(00)00240-5