| LEGENDRE SPECTRAL-FINITE ELEMENT METHOD FOR THE THREE-DIMENSIONAL UNSTEADY NAVIER-STOKES EQUATION |
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| 引用本文： | 何松年,杨彩萍. LEGENDRE SPECTRAL-FINITE ELEMENT METHOD FOR THE THREE-DIMENSIONAL UNSTEADY NAVIER-STOKES EQUATION[J]. 高等学校计算数学学报(英文版), 1997, 0(2) |
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| 作者姓名： | 何松年 杨彩萍 |
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| 作者单位： | He Song-nian Depatrment of Basic Courses，Civil Aviation Institute of China，tianjin 300000，PRCYang Cai-ping Depatrment of Basic Courses，Civil Aviation Institute of China，tianjin 300000，PRC |
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| 摘 要： | This paper is devoted to the mixed Legendre spectral-finite element approximation of the three-dimensional, non-periodic, unsteady Navier-Stokes equations. A class of fully discrete schemes are constructed with artificial compression. The generalized stability and convergence are proved strictly on the assumption that the two-dimensional inf-sup condition of the finite element approximation is satisfied.
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LEGENDRE SPECTRAL-FINITE ELEMENT METHOD FOR THE THREE-DIMENSIONAL UNSTEADY NAVIER-STOKES EQUATION |
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| He Song-nian Depatrment of Basic Courses,Civil Aviation Institute of China,tianjin ,PRCYang Cai-ping Depatrment of Basic Courses,Civil Aviation Institute of China,tianjin ,PRC. LEGENDRE SPECTRAL-FINITE ELEMENT METHOD FOR THE THREE-DIMENSIONAL UNSTEADY NAVIER-STOKES EQUATION[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1997, 0(2) |
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| Authors: | He Song-nian Depatrment of Basic Courses Civil Aviation Institute of China tianjin PRCYang Cai-ping Depatrment of Basic Courses Civil Aviation Institute of China tianjin PRC |
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| Affiliation: | He Song-nian Depatrment of Basic Courses,Civil Aviation Institute of China,tianjin 300000,PRCYang Cai-ping Depatrment of Basic Courses,Civil Aviation Institute of China,tianjin 300000,PRC |
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| Abstract: | This paper is devoted to the mixed Legendre spectral-finite element approximation of the three-dimensional, non-periodic, unsteady Navier-Stokes equations. A class of fully discrete schemes are constructed with artificial compression. The generalized stability and convergence are proved strictly on the assumption that the two dimensional inf-sup condition of the finite element ap-proximation is satisfied. |
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| Keywords: | Navier-Stokes equation Legendre spectral-finite element approximation. |
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