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J-GLOBAL ID：201702239965065467   Reference number：17A0980168

Numerical Investigation of Preconditioning for Iterative Methods in Linear Systems Obtained by Extended Element-Free Galerkin Method

拡張型エレメントフリーGalerkin法によって得る線形系における逐次手法の前条件付けに関する数値的検討

Author (4)： Itoh Taku (College of Industrial Technology, Nihon University) ,  Saitoh Ayumu (Graduate School of Science and Engineering, Yamagata University) ,  Ikuno Soichiro (School of Computer Science, Tokyo University of Technology) ,  Kamitani Atsushi (Graduate School of Science and Engineering, Yamagata University)
Material： Journal of Advanced Simulation in Science and Engineering (Web)  (日本シミュレーション学会英文誌(Web))
Volume： 3  Issue： 2  Page： 188-205(J-STAGE)  Publication year： 2016 
JST Material Number： U0612A  ISSN： 2188-5303  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Abstract/Point： In an extended element-free Ga...

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Thesaurus term： *Galerkin method ,  *linear system ,  conditioning ,  pretreatment ,  determinant ,  formulation ,  *successive approximation ,  extension ,  experiment ,  boundary condition ,  numerical solution ,  numerical experiment
Semi thesaurus term： *element-free Galerkin method

Author keywords (8)： Meshless methods ,  Element-free Galerkin method ,  Preconditioning for iterative methods ,  Asymmetric coefficient matrix ,  Meshless methods ,  Element-free Galerkin method ,  Preconditioning for iterative methods ,  Asymmetric coefficient matrix

JST classification (1)： Numerical analysis,approximation method  (AB04000F)

Reference (9)：

• [1] T. Belytschko, Y. Y. Lu, L. Gu: Element-Free Galerkin Methods, Int. J. Numer. Methods Eng., 37 (1994), 229-256.
• [2] S. N. Atluri and T. Zhu: A New Meshless Local Petrov-Galerkin (MLPG) Approach in Computational Mechanics, Comput. Mech., 22 (1998), 117-127.
• [3] A. Kamitani, T. Takayama, T. Itoh, H. Nakamura: Extension of Meshless Galerkin/Petrov-Galerkin Approach without Using Lagrange Multipliers, Plasma and Fusion Research, 6:2401074 (2011).
• [4] T. Itoh, S. Ikuno, A. Kamitani: Numerical Investigation of Linear Systems Obtained by Extended Element-Free Galerkin Method, In IGTE 2012 proceedings, (2012), 47-52.
• [5] M. Mori: Numerical Methods and FORTRAN 77 Programming, Iwanami Shoten, Tokyo (1986) (in Japanese).

Terms in the title (7)： 拡張 ,  エレメントフリーGalerkin法 ,  線形系 ,  逐次 ,  手法 ,  前条件付け ,  数値