期刊
APPLIED MATHEMATICS LETTERS
卷 86, 期 -, 页码 157-165出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2018.06.031
关键词
Laplace equation; Cauchy problem; Energy gap functional; Minimizing energy gap functional; Optimal shape parameter
资金
- Thousand Talents Plan of China [A1211010]
- Fundamental Research Funds for the Central Universities [2017B05714]
- National Natural Science Foundation of China [11571226]
By using the multiquadric radial basis function (MQ-RBF) method for solving the mixed boundary value problem as well as the Cauchy problem of the Laplace equation in an arbitrary plane domain, an energy gap functional (EGF) is proposed to choose the shape parameters. Upon minimizing the EGF we can pick up the optimal shape parameter and hence achieve the best accuracy of numerical solution. The performance of the minimizing EGF (MEGF) is assessed by numerical tests. (C) 2018 Elsevier Ltd. All rights reserved.
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