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Numerical simulation based on POD for two-dimensional solute transport problems |
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| Authors: | Huanrong Li Zhendong Luo Jing Chen |
| Institution: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China;2. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China;3. College of Science, China Agricultural University, Beijing 100083, China |
| Abstract: | A proper orthogonal decomposition (POD) method is applied to a usual finite element scheme for two-dimensional solute transport problems such that it is reduced into a reduced finite element formulation with lower dimensions and high enough accuracy. Numerical examples show that the results of numerical computations are consistent with accurate solutions. Moreover, this validates the feasibility and efficiency of POD method. |
| Keywords: | Proper orthogonal decomposition Finite element methods Numerical simulation Solute transport problems |
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