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双曲方程外问题的完全无反射人工边界条件(英文) 被引量:5

Exact Nonreflecting Boundary Conditions for Exterior Problems of the Hyperbolic Equation
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摘要 研究了数值求解双曲方程外问题的人工边界方法 .在圆形的人工边界上 ,得到了三类等价的完全无反射的人工边界条件 . An artificial boundary numerical method for the exterior problems of the hyperbolic equation is considered. Three kinds of equivalent exact nonreflecting boundary conditions are derived on a circular artificial boundary. Numerical examples are presented and effectiveness of these artificial boundary conditions is demonstrated.
出处 《计算物理》 EI CSCD 北大核心 2005年第2期95-107,共13页 Chinese Journal of Computational Physics
基金 SupportedbytheNSFCunderGrantNo.10 40 10 2 0andGrantNo .10 4710 73
关键词 人工边界条件 双曲方程 无反射 外问题 数值求解 等价 Boundary conditions Boundary value problems Finite element method
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  • 1Feng Kang, Canonical boundary reduction and finite element method, Proceedings of International Invitational Symposium on the Finite Element Method (1981,Heifei), Science Press, Beijing, 1982,330-352.
  • 2Feng Kang, Yu Dehao, Canonical integral equations of elliptic boundary value problems and their numerical solutions, Proceedings of China-France Symposium on the Finite Element Method (1982,Beijing), Science Press, Beijing, 1983, 211-252.
  • 3Feng Kang, Finite element-method and natural boundary reduction, Proceedings of the International Congress of Mathematicans, Warszawa, 1983, 1439-1453.
  • 4Yu Dehao, Canonical integral equations of biharmonic elliptic boundary value problems (in Chinese), Math. Numer. Sinica, 4:3 (1982), 330-336.
  • 5Yu Dehao, Numerical solutions of harmonic and biharmonic canonical integral equations in interior or exterior circular domains, J Comput Math , 1:1 (1983), 52-62.
  • 6Yu Dehao, Coupling canonical boundary element method with FEM to solve harmonic problem over cracked domain, J Comput Math , 1:3 (1983), 195-202.
  • 7Yu Dehao, A direct and natural coupling of BEM and FEM, Boundary Elements XIII, C A Brebbiaand G S Gipson eds., Computational Mechanics Publications, Southampton, 1991, 995-1004.
  • 8Yu Dehao, Mathematical Theory of Natural Boundary Element Method, Pure Mathematics and Applied Mathematics, No. 26(in Chinese), Science Press, Beijing, 1993.1.
  • 9Du Qikui, Yu Dehao, The natural integrai equation for initial boundary value problems of parabolic equation and its numerical implementation (in Chinese), Math Numer Sinica, 21:4 (1999), 495-506.
  • 10R Courant, D Hilbert, Methods of Mathematics Physics, Vol.II, Wiley, NewYork, 1962.

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