Radial basis function (RBF) interpolation algorithm for data transfer on coupling interface is derived from the shape function, and the global D-Lanczos (GLDL) method is introduced to solve the displacement transfer matrix. In order to improve the computational efficiency, a local compactly supported RBF (CSRBF) interpolation algorithm is proposed based on the partition acceleration treatment, and a comparison of the algorithmic complexity is made among the global Multi-Quadrics (MQ), CSRBF and the local CSRBF. Numerical test shows the significant shortening of CPU time by using the local CSRBF interpolation algorithm.