The Radial Basis Function Shape Parameter Chosen and Its Application in Engneering
The shape parameter is proved to have great influence on Radial Basis Function (RBF) interpolation. Its impacts on Multiquadric (MQ) RBF are studied in this paper. Observation suggests that a large shape parameter improves the accuracy of the approximation of high non linear problems, but may lead to Runge Phenomenon (RP). This paper proposed an algorithm to obtain the shape parameter by minimizing the crossvalid error while controlling the RP. Compared with Kriging, numerical experiments show that the MQ RBF with optimum shape parameter can achieve higher accuracy when approximate the high non linear problems, the application in the engineering problems also proved the effectiveness of the algorithm.
approzimation RBF shape parameter Multiquadric
Wei Yue-xing Xu Lin Chen Xiao-qian
Collage of Aerospace and Materials Engineering National University of Defense Technology,Changsha,China
国际会议
上海
英文
79-83
2009-11-20（万方平台首次上网日期，不代表论文的发表时间）