ON THE UNIQUENESS OF BOUNDARY INTEGRAL EQUATION FOR THE EXTERIOR HELMHOLTZ PROBLEM

From the point of view of energy analysis,the cause that the uniqueness of theboundary integral equation induced from the exterior Helmholtz problem does not hold isinvestigated in this paper.It is proved that the Sommerfeld’s condition at the infinity ischanged so that it is suitable not only for t...

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Bibliographic Details
Published in:Applied mathematics and mechanics 1990-10, Vol.11 (10), p.965-971
Main Author: 王清 徐博侯
Format: Article
Language:English
Subjects:
boundary
equation
exterior
Helmholtz
integral
problem
uniqueness
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Summary:From the point of view of energy analysis,the cause that the uniqueness of theboundary integral equation induced from the exterior Helmholtz problem does not hold isinvestigated in this paper.It is proved that the Sommerfeld’s condition at the infinity ischanged so that it is suitable not only for the radiative wave but also for the absorptive wavewhen we use the boundary integral equation to describe the exterior Helmholtz problem.Therefore,the total energy of the system is conservative.The mathematical dealings toguarantee the uniqueness are discussed based upon this explanation
ISSN:0253-4827
1573-2754
DOI:10.1007/BF02115680