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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52235

Title: The method of two-point angular basis function for solving Laplace equation
Authors: Chung-Lun Kuo
Weichung Chung Yeih
Cheng Yu Ku
Chia-Ming Fan
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Two-point angular basis function
Cracklets
Logarithm singularity
Multiply connected domain
Date: 2019-05
Issue Date: 2019-06-13T07:37:32Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: Abstract: In this paper, an approach to improve the method of angular basis function (MABF) proposed by Young et al. (2015) is proposed. Instead of using lnr in the method of fundamental solution (MFS), the MABF adopts θ to construct the solution. However, since the nature of θ introduces multiple values along the branch cut such that to avoid the branch cut passing through the domain is an important issue (Li et al., 2018). Noticing this difficulty, Alves et al. (2018) first proposed a remedy which used a pair of two points to restrict the discontinuity appearing only along the line segment between two points, and they named this approach as cracklets. In this article, the two-point angular basis function (cracklets) is investigated deeply. We explain why for a multiply connected domain with a logarithm singular solution the cracklets will encounter failure. To resolve this difficulty, one can adopt the proposed method (cracklets) with the MFS or one can use domain decomposition method to separate the domain into several singly connected domains. Seven numerical examples are provided to show the validity of this method, and examples for dealing with the multiply connected domain are focused to support our claims.
Relation: 106 pp.264-274
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/52235
Appears in Collections:[河海工程學系] 期刊論文

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