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

作　　者：罗振东 谢正辉 陈静 

机构地区：[1]School of Mathematics and Physics, North China Electric Power University [2]LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences [3]College of Sciences, China Agricultural University

出　　处：《Acta Mathematica Scientia》2011年第5期1765-1785,共21页数学物理学报（B辑英文版）

基　　金：supported by the National Science Foundation of China (10871022; 11061009; 40821092);the National Basic Research Program (2010CB428403; 2009CB421407; 2010CB951001);Natural Science Foundation of Hebei Province (A2010001663);Chinese Universities Scientific Fund (2009-2-05)

摘　　要：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.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.

关 键 词：proper orthogonal decomposition mixed finite element formulation error estimate non-stationary conduction-convection problems 

分 类 号：O35[理学—流体力学]