A REDUCED MFE FORMULATION BASED ON POD FOR THE NON-STATIONARY CONDUCTION-CONVECTION PROBLEMS

doi:10.1016/S0252-9602(11)60360-3

Abstract

Abstract:

In this article, a reduced mixed finite element (MFE) formulation based on proper orthogonal decomposition (POD) for the non-stationary conduction-convection problems is presented. Also the error estimates between the reduced MFE solutions based
on POD and usual MFE solutions are derived. It is shown by numerical examples that the results of numerical computation are consistent with theoretical conclusions. Moreover, it is shown that the reduced MFE formulation based on POD is feasible and efficient in finding numerical solutions for the non-stationary conduction-convection problems.

Key words: proper orthogonal decomposition, mixed finite element formulation, error estimate, non-stationary conduction-convection problems

CLC Number:

65N30

LUO Zhen-Dong, XIE Zheng-Hui, CHEN Jing. A REDUCED MFE FORMULATION BASED ON POD FOR THE NON-STATIONARY CONDUCTION-CONVECTION PROBLEMS[J].Acta mathematica scientia,Series B, 2011, 31(5): 1765-1785.

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