A reduced finite element formulation based on POD method for two-dimensional solute transport problems

作者：Luo, Zhendong^*; Li, Hong; Zhou, Yanjie; Xie, Zhenghui

来源：Journal of Mathematical Analysis and Applications, 2012, 385(1): 371-383.

DOI：10.1016/j.jmaa.2011.06.051

• Proper orthogonal decomposition
• Finite element formulation
• Error estimate
• Numerical simulation
• Solute transport problems

A proper orthogonal decomposition (POD) method is applied to a usual finite element (FE) formulation for two-dimensional solute transport problems with real practical applied background such that it is reduced into a reduced FE formulation with lower dimensions and high enough accuracy. The error estimates between the reduced POD FE solutions and the usual FE solutions are provided. It is shown by numerical examples that the results of numerical computation are consistent with theoretical conclusions. Moreover, it is also shown that this validates the feasibility and efficiency of POD FE method.

• 出版日期2012-1-1
• 单位中国科学院大气物理研究所; 内蒙古大学; 北京工商大学; 华北电力大学