High-Order Boundary Conditions for the Problems of Laplace Equation in Infinite Region and Their Application

Huang He-ning; Wang Fa-jun

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Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(11): 1013-1018

Huang He-ning, Wang Fa-jun. High-Order Boundary Conditions for the Problems of Laplace Equation in Infinite Region and Their Application[J]. Applied Mathematics and Mechanics, 1990, 11(11): 1013-1018.

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High-Order Boundary Conditions for the Problems of Laplace Equation in Infinite Region and Their Application

Institute of Marine Environmental Protection State Oceanic Administration, Dalian

Received Date: 1989-03-17
Publish Date: 1990-11-15

Abstract

Abstract

The high-order boundary conditions for the problems cf Laplace equation in infinite region have been developed.The improvement in accuracy for numerical solution is achieved by imposing the high-order boundary conditions on the exterior boundarv of a reduced finite region in which the numerical method is used.So both the computing efforts and the required storage in computer are reduced.The numerical examples show that the 1st-order boundary condition approaches to the exact boundary condition and it is clearly superior to the traditional boundary condition and the 2nd-order boundary condition.
- Laplace equation,
- potential function,
- boundary condition,
- conformal transformation

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References(3)

References

[1]	Bayliss, A., M. Gunzburger, and E. Turke, Boundary conditions for the numerical solution of elliptic equations in exterior regions, SIAM, Appl. Math., 42, 2, April (1982), 430-451.
[2]	梁昆森,《数学物理方法》,人民教育出版社,第二版(1987).
[3]	黄河宁、李鉴初,散射波的二阶辐射边界条件及其应用,海洋学报,10, 2 (1988), 233-239.