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Title Dual Reciprocity Hybrid Boundary Node Method for Helmholtz Equation
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    Abstract:

    This paper presented a new boundarytype meshless method, Dual Hybrid Boundary Node Method (DHBNM), which combines the Hybrid BNM with the Dual Reciprocity Method (DRM), to solve Helmholtz equation. In this method, the solution of Helmholtz problem was divided into two parts, namely, the general solution and the particular solution. The general solution was solved by means of Hybrid BNM and the particular one was obtained with DRM. The proposed method retains the characteristics of the meshless method and BEM, which only requires discrete nodes constructed on the boundary of a domain, and several nodes in the domain are needed just for the RBF interpolation. The parameters that influence the performance of this method were studied with numerical examples. Numerical results for the solution of Helmholtz equation have shown that high convergence rates and high accuracy can be achieved.

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