| 定常不可压Navier-Stokes型方程的非线性Galerkin有限元算法的收敛性 |
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| 引用本文： | 李冠成,何银年.定常不可压Navier-Stokes型方程的非线性Galerkin有限元算法的收敛性[J].计算物理,1997,14(1):83-89. |
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| 作者姓名： | 李冠成 何银年 |
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| 作者单位： | 1. 北方交通大学运输系, 北京 100044;2. 西安交通大学应用数学研究中心, 710049 |
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| 基金项目： | 国家自然科学基金,西安交通大学科研基金 |
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| 摘 要： | 给出数值求解二维定常不可压Navier-Stokes型方程的非线性Galerkin有限元算法,并分析了数值解的正则性和收敛性,当粗网格参数H和细网格参数h满足关系式H=O(h1/2)时,该算法具有和Galerkin有限元算法同阶的收敛精度,然而在计算上比Galerkin有限元算法更为简单,可以节省可观的计算量.最后给出了数值试验,验证了上述结果。
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| 关 键 词： | Navier-Stokes型方程 Galerkin有限元算法 非线性Galerkin有限元算法 |
| 收稿时间： | 1995-11-13 |
| 修稿时间： | 1996-11-11 |
CONVERGENCE OF NONLINEAR GALERKIN FINITE ELEMENT ALGORITHM FOR THE STEADY INCOMPRESSIBLE EQUATIONS OF THE NAVIER-STOKES TYPE |
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| Li Guancheng,He Yinnian.CONVERGENCE OF NONLINEAR GALERKIN FINITE ELEMENT ALGORITHM FOR THE STEADY INCOMPRESSIBLE EQUATIONS OF THE NAVIER-STOKES TYPE[J].Chinese Journal of Computational Physics,1997,14(1):83-89. |
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| Authors: | Li Guancheng He Yinnian |
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| Institution: | 1. Department of Transportation, Northem Jiotong University, Beijing 100044;2. Research Center for Applied Mathematics, Xi'an Jiaotong Univertity, Xi'an 710049, China |
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| Abstract: | Here a practicable algorithm about the nonlinear Galerkin finite element algorithm is presented for the two-dimensional steady incompressible equations of Navier-stokes type is presented (or discassed),also the conver-gence and regularity of the numerical solution are analysed.If the grid parameter H and the finner grid parameter h(h1/2),the present algorithm has convergence rate of the same order as the standard Galerkin finite element algorithm.However,this algorithm is simpler than the Galerkin algorithm and can save a large amount of computational time.Finally,the numerical test is provided,which shows that the above conclusion is are true. |
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| Keywords: | Equation of Navier-Stokes type Galerkin finite element algorithm Nonlinear Galerkin finite element algorithm |
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