On the Uniqueness of Boundary Integral Equation for the Exterior Helmholtz Problem

Wang Qing; Xu Bo-hou

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Wang Qing, Xu Bo-hou. On the Uniqueness of Boundary Integral Equation for the Exterior Helmholtz Problem[J]. Applied Mathematics and Mechanics, 1990, 11(10): 903-909.

Citation:

Wang Qing, Xu Bo-hou. On the Uniqueness of Boundary Integral Equation for the Exterior Helmholtz Problem[J]. Applied Mathematics and Mechanics, 1990, 11(10): 903-909.

Citation:

Wang Qing, Xu Bo-hou. On the Uniqueness of Boundary Integral Equation for the Exterior Helmholtz Problem[J]. Applied Mathematics and Mechanics, 1990, 11(10): 903-909.

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On the Uniqueness of Boundary Integral Equation for the Exterior Helmholtz Problem

Wang Qing¹,
Xu Bo-hou²

Department of Mechanics, Zhejiang University, Hangzhou

Received Date: 1989-02-01
Publish Date: 1990-10-15

Abstract

Abstract

From the point of view of energy analysis, the cause that the uniqueness of the boundary integral equation induced from the exterior Helmholtz problem does not hold is investigated in this paper. It is proved that the Sommerfeld's condition at the infinity is changed so that it is suitable not only for the radiative wave but also for the absorptive wave when we use the boundary integral equation to describe the exterior Helmholtz problem. There fore, the total energy of the system is conservative. The mathematical dealings to guarantee the uniqueness are discussed based upon this explanation.
- exterior Helmholtz problem,
- boundary integral equation,
- uniqueness

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References(13)

References

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