(1. College of Civil Engineering and Mechanics, Huazhong Univ of Science and Technology, Wuhan, Hubei430074, China;2. Dept of Civil Engineering, Nanyang Institute of Technology, Nanyang, Henan473004, China) 在知网中查找 在百度中查找 在本站中查找
This paper presented a new boundarytype 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.
