http://scholars.ntou.edu.tw/handle/123456789/24716
Title: | Optimal Shape Factor and Fictitious Radius in the MQ-RBF: Solving Ill-Posed Laplacian Problems |
Authors: | Liu, Chein-Shan Kuo, Chung-Lun Chang, Chih-Wen |
Keywords: | Laplace equation;nonharmonic boundary value problem;Ill-posed problem;maximal projection;optimal shape factor and fictitious radius;optimal MQ-RBF;optimal polynomial method |
Issue Date: | 2024 |
Publisher: | TECH SCIENCE PRESS |
Source: | CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES |
Abstract: | To solve the Laplacian problems, we adopt a meshless method with the multiquadric radial basis function (MQRBF) as a basis whose center is distributed inside a circle with a fictitious radius. A maximal projection technique is developed to identify the optimal shape factor and fictitious radius by minimizing a merit function. A sample function is interpolated by the MQ-RBF to provide a trial coeff... |
URI: | http://scholars.ntou.edu.tw/handle/123456789/24716 |
ISSN: | 1526-1492 |
DOI: | 10.32604/cmes.2023.046002 |
Appears in Collections: | 海洋中心 |
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