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On the uniqueness of boundary integral equation for the exterior Helmholtz problem
Authors:Wang Qing  Xu Bo-hou
Affiliation:1. Department of Civil Engineering, Zhejiang University, Hangzhou;2. Department of Mechanics, Zhejiang University, Hangzhou
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.
Keywords:exterior Helmholtz problem   boundary integral equation   uniqueness
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