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Core Information
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| Title: |
An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems |
| Abstract: |
In this paper,proper orthogonal decomposition (POD) is combined with the Petrov–Galerkin least squares
mixed finite element (PLSMFE) method to derive an optimizing reduced PLSMFE formulation for the non-stationary conduction–convection problems.
Error estimates between the optimizing reduced PLSMFE
solutions based on POD and classical PLSMFE solutions are presented. The optimizing reduced PLSMFE
formulation can circumvent the constraint of Babuˇska–Brezzi condition so that the combination of finite
element subspaces can be chosen freely and allow optimal-order error estimates to be obtained. Numerical
simulation examples have shown that the errors between the optimizing reduced PLSMFE solutions and
the classical PLSMFE solutions are consistent with theoretical results.
Moreover,they have also shown the feasibility and efficiency of the POD method.
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| Keywords: |
proper orthogonal decomposition, Petrov–Galerkin least squares mixed finite element method, error estimate, non-stationary conduction–convection problems |
Author Information
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| 1. | Luo, Zhendong | [ School of Mathematics and Physics, North China Electric Power University, ] | Neither | | 2. | Chen, Jing | [ College of Science, China Agricultural University, ] | Neither | | 3. | Navon, I. M. | [ FSU/SC ] | Neither | | 4. | Zhu, Jiang | [ Institute of Atmospheric Physics, Chinese Academy of Sciences, ] | Neither |
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Detailed Scientific Article Information
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Subjects Information
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1. Mathematics
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