https://scholars.lib.ntu.edu.tw/handle/123456789/576001
標題: | Ghost-point based radial basis function collocation methods with variable shape parameters | 作者: | Lin S.-R Young D.L Chen C.-S. CHUIN-SHAN CHEN |
關鍵字: | Franke's formula; Ghost point method; Kansa method; Multiquadrics; Radial basis functions; Shape parameter | 公開日期: | 2021 | 卷: | 130 | 起(迄)頁: | 40-48 | 來源出版物: | Engineering Analysis with Boundary Elements | 摘要: | In this study, a strategy was proposed to determine the interval of the variable shape parameter for the ghost point method using radial basis functions. The determination of a suitable interval for the variable shape parameter remains a challenge. The modified Franke formula was used as an initial predictor of the center of the interval of the variable shape parameter in this study. After extensive tests, a numerical procedure was found for the determination of a suitable interval. The improvement from the imposition of the partial differential equation on the boundary points using the ghost point method was also investigated. To demonstrate the effectiveness of the proposed approach, four numerical examples are presented, including second and fourth order partial differential equations in 2D and 3D. ? 2021 Elsevier Ltd |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107078240&doi=10.1016%2fj.enganabound.2021.05.006&partnerID=40&md5=a962d92b97e7c0f3cc2f40dca42bdd0e https://scholars.lib.ntu.edu.tw/handle/123456789/576001 |
ISSN: | 9557997 | DOI: | 10.1016/j.enganabound.2021.05.006 |
顯示於: | 土木工程學系 |
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