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An error estimate of the proper orthogonal decomposition in model reduction and data compression
Author(s) -
Wang Axia,
Ma YiChen
Publication year - 2009
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20393
Subject(s) - proper orthogonal decomposition , reduction (mathematics) , mathematics , compression (physics) , decomposition , point of delivery , algorithm , partial differential equation , mathematical analysis , geometry , thermodynamics , ecology , agronomy , biology , physics
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. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009