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- W2064682345 abstract "The classical boundary integral equation formulation of the Helmholtz equation in the exterior domain, derived from Green's second theorem, does not have a unique solution for certain real values of the wavenumber. The use of the Burton and Miller formulation to ensure a unique solution introduces certain computational difficulties in the form of finite part integrals. In this past these difficulties have been overcome by the use of a simple piecewise constant approximation to the solution. In this paper special quadrature rules are developed for evaluating the finite part integrals, demonstrating that it is possible to employ a higher-order approximation, such as piecewise quadratic, to the solution. The numerical results show that it is possible to obtain an accurate solution to a wide range of problems using these techniques." @default.
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- W2064682345 date "1992-03-01" @default.
- W2064682345 modified "2023-09-27" @default.
- W2064682345 title "A boundary element method for the Helmholtz equation using finite part integration" @default.
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- W2064682345 doi "https://doi.org/10.1016/0045-7825(92)90191-l" @default.
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