National Taiwan Ocean University Institutional Repository:Item 987654321/24135
English  |  正體中文  |  简体中文  |  全文笔数/总笔数 : 26988/38789
造访人次 : 2351888      在线人数 : 33
RC Version 4.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜寻范围 进阶搜寻

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24135

题名: Indirect T-Trefftz and F-Trefftz Method for Solving Boundary Value Problem of Poisson Equation
作者: Ru-Feng Liu;Weichung Yeih;Shy-Rhong Kuo;Yung-Wei Chen
贡献者: NTOU:Department of Harbor and River Engineering
國立臺灣海洋大學:河海工程學系
关键词: Poisson equation;T‐Trefftz method;F‐Trefftz method;ill‐posed behavior;truncated singular value decomposition method;L‐curve
日期: 2011/03
上传时间: 2011-10-20T08:10:27Z
出版者: Journal of the Chinese Institute of Engineers
摘要: Abstract:The Poisson equation can be solved by first finding a particular solution and then solving the resulting Laplace equation. In this paper, a computational procedure based on the Trefftz method is developed to solve the Poisson equation for two‐dimensional domains. The radial basis function approach is used to find an approximate particular solution for the Poisson equation. Then, two kinds of Trefftz methods, the T‐Trefftz method and F‐Trefftz method, are adopted to solve the resulting Laplace equation. In order to deal with the possible ill‐posed behaviors existing in the Trefftz methods, the truncated singular value decomposition method and L‐curve concept are both employed. The Poisson equation of the type, ?2 u = f(x, u), in which x is the position and u is the dependent variable, is solved by the iterative procedure. Numerical examples are provided to show the validity of the proposed numerical methods and some interesting phenomena are carefully discussed while solving the Helmholtz equation as a Poisson equation. It is concluded that the F‐Trefftz method can deal with a multiply connected domain with genus p(p > 1) while the T‐Trefftz method can only deal with a multiply connected domain with genus 1 if the domain partition technique is not adopted.
關聯: 29(6), pp.989-1006
URI: http://ntour.ntou.edu.tw/handle/987654321/24135
显示于类别:[河海工程學系] 期刊論文

文件中的档案:

档案 描述 大小格式浏览次数
index.html0KbHTML144检视/开启


在NTOUR中所有的数据项都受到原著作权保护.

 


著作權政策宣告: 本網站之內容為國立臺灣海洋大學所收錄之機構典藏,無償提供學術研究與公眾教育等公益性使用,請合理使用本網站之內容,以尊重著作權人之權益。
網站維護: 海大圖資處 圖書系統組
DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回馈