English  |  正體中文  |  简体中文  |  Items with full text/Total items : 26988/38789
Visitors : 2350050      Online Users : 40
RC Version 4.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Adv. Search

Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/40763

Title: A multiple scale Trefftz method for the Laplace equation subjected to large noisy boundary data
Authors: Yung-Wei Chen
Contributors: 國立臺灣海洋大學:輪機工程學系
Keywords: Laplace equation;Multi-scale Trefftz method;Mixed-boundary value problem;Sloshing;Noise boundary data
Date: 2016-03
Issue Date: 2017-02-06T07:49:51Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: Abstract:In this paper, we develop an equal norm based multiple scale Trefftz method (MSTM) to solve the Laplace equation subjected to large noisy boundary data. When the complicated geometry with noisy perturbation and ill-conditioned system by using higher-order T-complete functions are encountered, numerical convergence is hard to reach. To tackle these complicated problems, we adopt the MSTM combined with the vector regularization method (VRM) to eliminate the higher-order numerical oscillation phenomena. Due to the inclusion of the characteristic length in the scheme, the ill-posed problem of the constructed Vandermonde matrix is reduced, and the number of terms in the T-complete functions can be increased to stabilize the numerical calculations. More importantly, the proposed approach can successfully overcome the ill-posedness of severely ill-conditioned matrices appearing in linear equations and thus, obtain the accurate numerical solution under a serious noise disturbance. The results reveal that the method presents a simple and stable way to deal with the highly ill-posed problem.
Relation: 64, pp.196–204
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/40763
Appears in Collections:[輪機工程學系] 期刊論文

Files in This Item:

File Description SizeFormat
1-s2.0-S0955799715002763-main.pdf932KbAdobe PDF55View/Open

All items in NTOUR are protected by copyright, with all rights reserved.


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 ©   - Feedback