THE COUPLING OF BOUNDARY ELEMENT AND FINITE ELEMENT METHODS FOR THE EXTERIOR NONSTATIONARY NAVIER-STOKES EQUATIONS 被引量：2

THE COUPLING OF BOUNDARY ELEMENT AND FINITE ELEMENT METHODS FOR THE EXTERIOR NONSTATIONARY NAVIER-STOKES EQUATIONS

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摘要 In this paper, we represent a new numerical method for solving the nonstationary Stokes equations in an unbounded domain. The technique consists in coupling the boundary integral and finite element methods. The variational formulation and well posedness of the coupling method are obtained. The convergence and optimal estimates for the approximation solution are provided. In this paper, we represent a new numerical method for solving the nonstationary Stokes equations in an unbounded domain. The technique consists in coupling the boundary integral and finite element methods. The variational formulation and well posedness of the coupling method are obtained. The convergence and optimal estimates for the approximation solution are provided.

作者何银年李开泰

出处《Acta Mathematica Scientia》 SCIE CSCD 1991年第2期190-207,共18页 数学物理学报（B辑英文版）

关键词 THE COUPLING OF BOUNDARY ELEMENT AND FINITE ELEMENT METHODS FOR THE EXTERIOR NONSTATIONARY NAVIER-STOKES EQUATIONS

分类号 O1，O4 [理学—基础数学]

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1李开泰,何银年.STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PARTⅡ:WELL-POSEDNESS ANALYSIS[J].Acta Mathematica Scientia,1996,16(4):442-457. 被引量：2
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10Zheng Q, Wang J, Li J Y. The coupling method with the natural boundary reduction on an ellipse for exterior anisotropic problems [J]. CMES-Computer Modeling in Engineering & Sciences, 2011,72(2): 103-113.

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2何银年,李开泰.外部非定常Navier-Stokes方程的非线性Galerkin算法[J].应用数学和力学,2002,23(11):1141-1149. 被引量：2

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1张瑞,马逸尘.Improvement of two inequalities in the stationary Navier-Stokes equations[J].Journal of Pharmaceutical Analysis,2007,19(2):124-125.
2HE,Yin-nian(何银年),LI,Kai-tai(李开泰).NONLINEAR GALERKIN METHOD FOR THE EXTERIORNONSTATIONARY NAVIER-STOKES EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2002,23(11):1282-1291.
3何银年,李开泰.STOKES COUPLING METHOD FOR THE EXTERIOR FLOW PART Ⅰ:APPROXIMATE ACCURACY[J].Acta Mathematicae Applicatae Sinica,1999,15(3):333-336.
4赵慧明,董正筑,曹璎珞.THE COUPLING METHOD FOR TORSION PROBLEM OF THE SQUARE CROSS-SECTION BAR WITH CRACKS[J].Applied Mathematics and Mechanics(English Edition),2000,21(11):1308-1313.
5何成.BOUNDARY LAYER ESTIMATION OF THE QUASILINEAR STOKES EQUATIONS[J].Acta Mathematica Scientia,1997,17(4):413-428.
6尚月强,何银年.Parallel finite element algorithm based on full domain partition for stationary Stokes equations[J].Applied Mathematics and Mechanics(English Edition),2010,31(5):643-650.
7何银年,李开泰.THE COUPLING METHOD OF FINITE ELEMENTS AND BOUNDARY ELEMENTS FOR RADIATION PROBLEM[J].Acta Mathematicae Applicatae Sinica,1990,6(2):97-112.
8Pengzhan HUANG,Yinnian HE,Xinlong FENG.Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations[J].Frontiers of Mathematics in China,2013,8(4):837-854. 被引量：1
9Habib Ammari,Gang Bao.COUPLING OF FINITE ELEMENT AND BOUNDARY ELEMENT METHODS FOR THE SCATTERING BY PERIODIC CHIRAL STRUCTURES[J].Journal of Computational Mathematics,2008,26(3):261-283. 被引量：2
10陶继成.THE BOUNDARY VALUE PROBLEMS OF ELLIPTICSYSTEM (E_1) ON THE UNBOUNDED DOMAIN[J].Acta Mathematica Scientia,2002,22(1):123-130.

Acta Mathematica Scientia

1991年第2期

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THE COUPLING OF BOUNDARY ELEMENT AND FINITE ELEMENT METHODS FOR THE EXTERIOR NONSTATIONARY NAVIER-STOKES EQUATIONS 被引量：2

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