A cooperative radial basis function method for variable-fidelity surrogate modeling |
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Authors: | Xu Li Wenkun Gao Liangxian Gu Chunlin Gong Zhao Jing Hua Su |
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Affiliation: | 1.School of Astronautics,Northwestern Polytechnical University,Xi’an,People’s Republic of China;2.School of Civil Engineering and Mechanics,Huazhong University of Science and Technology,Hubei,People’s Republic of China |
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Abstract: | By coupling the low-fidelity (LF) model with the high-fidelity (HF) samples, the variable-fidelity model (VFM) offers an efficient way to overcome the expensive computing challenge in multidisciplinary design optimization (MDO). In this paper, a cooperative radial basis function (Co-RBF) method for the VFM is proposed by modifying the basis function of RBF. The RBF method is constructed on the HF samples, while the Co-RBF method incorporates the entire information of the LF model with the HF samples. In Co-RBF, the LF model is regard as a basis function of Co-RBF and the HF samples are utilized to compute the Co-RBF model coefficients. Two numerical functions and three engineering problems are adopted to verify the proposed Co-RBF method. The predictive results of Co-RBF are compared with those of RBF and Co-Kriging, which show that the Co-RBF method improves the efficiency, accuracy and robustness of the existing VFMs. |
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