| 定常Navier—Stokes方程的Petrov—Galerkin方法 |
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| 引用本文： | 化存才 李开泰. 定常Navier—Stokes方程的Petrov—Galerkin方法[J]. 应用数学, 1997, 10(4): 23-29 |
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| 作者姓名： | 化存才 李开泰 |
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| 作者单位： | 云南农业大学!昆明，650201，西安交通大学!西安，710049，西安交通大学!西安，710049 |
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| 摘 要： | 研究了定常Navier－Stokes方程的四种Petrov－Galerkin有限元方法：PG1，PG2，SD和GLS．它们都是稳定的，避免了经典混合方法中必要的Babuska－Brezzi条件．给出了各种方法有限元解的存在性、唯一性和唯一解的误差估计．
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| 关 键 词： | 定常Navier－Stokes方程 有限元方法 Petrov－Galerkin方法 |
Petrov-Galerkin Finite Element Methods for Solving the Stationary Navier-Stokes Equations |
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| Hua Cuncai, Li Kaitai and Ma Yichen. Petrov-Galerkin Finite Element Methods for Solving the Stationary Navier-Stokes Equations[J]. Mathematica Applicata, 1997, 10(4): 23-29 |
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| Authors: | Hua Cuncai Li Kaitai Ma Yichen |
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| Abstract: | In this paper, four Petrov-Galerkin finite element methods, PG1, PG2, SD and GLS, are studied for solving the stationary Navier-Stokes equations. These methods are all stable and circumvent the Babuska-Brezzi condition which is neccessary in the classical mixed methods. The existence, uniqueness of finite clement solutions of every method and the error estimates for the unique solutions are given. |
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| Keywords: | Stationary Navier-Stokes equation Finite element method Petrov-Galerkin method |
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