翻訳と辞書 Words near each other ・ RegularChains ・ Regulares ・ Regularis Concordia ・ Regularis Concordia (Winchester) ・ Regularity rally ・ Regularity theorem ・ Regularity theorem for Lebesgue measure ・ Regularization ・ Regularization (linguistics) ・ Regularization (mathematics) ・ Regularization (physics) ・ Regularization by spectral filtering ・ Regularization perspectives on support vector machines ・ Regularized canonical correlation analysis ・ Regularized Inglish ・ Regularized meshless method ・ Regulate ・ Regulate (song) ・ Regulate the Chemicals ・ Regulate... G Funk Era, Pt. II ・ Regulate...G Funk Era ・ Regulated Area (No 2) ・ Regulated function ・ Regulated Industries and Utilities Committee (Georgia Senate) ・ Regulated Industries Committee (Georgia House) ・ Regulated integral ・ Regulated market ・ Regulated power supply ・ Regulated Product Submissions ・ Regulated rewriting Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Regularized meshless method ： ウィキペディア英語版 Regularized meshless method In numerical mathematics, the regularized meshless method (RMM), also known as the singular meshless method or desingularized meshless method, is a meshless boundary collocation method designed to solve certain partial differential equations whose fundamental solution is explicitly known. The RMM is a strong-form collocation method with merits being meshless, integration-free, easy-to-implement, and high stability. Until now this method has been successfully applied to some typical problems, such as potential, acoustics, water wave, and inverse problems of bounded and unbounded domains. ==Description== The RMM employs the double layer potentials from the potential theory as its basis/kernel functions. Like the method of fundamental solutions (MFS),〔A.K. G. Fairweather, The method of fundamental solutions for elliptic boundary value problems, ''Advances in Computational Mathematics''. 9 (1998) 69–95.〕〔M.A. Golberg, C.S. Chen, The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations, ''Boundary Elements Communications''. 5 (1994) 57–61.〕 the numerical solution is approximated by a linear combination of double layer kernel functions with respect to different source points. Unlike the MFS, the collocation and source points of the RMM, however, are coincident and placed on the physical boundary without the need of a fictitious boundary in the MFS. Thus, the RMM overcomes the major bottleneck in the MFS applications to the real world problems. Upon the coincidence of the collocation and source points, the double layer kernel functions will present various orders of singularity. Thus, a subtracting and adding-back regularizing technique 〔D.L. Young, K.H. Chen, C.W. Lee. Novel meshless method for solving the potential problems with arbitrary domains. ''Journal of Computational Physics'' 2005; 209(1): 290–321.〕 is introduced and, hence, removes or cancels such singularities. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Regularized meshless method」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.