Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model

In this paper, the tropical Pacific Ocean reduced gravity model is studied using the proper orthogonal decomposition (POD) technique of mixed finite element (MFE) method and an error estimate of POD approximate solution based on MFE method is derived. POD is a model reduction technique for the simul...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2007-09, Vol.196 (41), p.4184-4195
Main Authors: Luo, Zhendong, Zhu, Jiang, Wang, Ruiwen, Navon, I.M.
Format: Article
Language:English
Subjects:
Computational techniques
Dynamics of the ocean (upper and deep oceans)
Earth, ocean, space
Error estimate
Exact sciences and technology
External geophysics
Fundamental areas of phenomenology (including applications)
Mathematical methods in physics
Mixed finite element method
Numerical simulation
Physics
Physics of the oceans
Proper orthogonal decomposition technique
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Summary:In this paper, the tropical Pacific Ocean reduced gravity model is studied using the proper orthogonal decomposition (POD) technique of mixed finite element (MFE) method and an error estimate of POD approximate solution based on MFE method is derived. POD is a model reduction technique for the simulation of physical processes governed by partial differential equations, e.g., fluid flows or other complex flow phenomena. It is shown by numerical examples that the error between POD approximate solution and reference solution is consistent with theoretical results, thus validating the feasibility and efficiency of POD method.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2007.04.003