Application of Extended Element-Free Galerkin Method to Nonlinear Problem

被引：2

作者：

Saitoh, Ayumu ^{[1
]}

Itoh, Taku ^{[2
]}

Matsui, Nobuyuki ^{[1
]}

Kamitani, Atsushi ^{[3
]}

机构：

[1] Univ Hyogo, Grad Sch Engn, Kobe, Hyogo 6712280, Japan

[2] Seikei Univ, Fac Sci & Technol, Tokyo 1808633, Japan

[3] Yamagata Univ, Grad Sch Sci & Engn, Yamagata 9928510, Japan

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2012年 / 48卷 / 02期

关键词：

Boundary value problems; Galerkin method; nonlinear differential equations; partial differential equations; SHIELDING CURRENT ANALYSIS; MESHLESS; HTS;

D O I：

10.1109/TMAG.2011.2175904

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A new method has been proposed for implementing the essential boundary condition and the natural one to the Element-Free Galerkin Method (EFGM). Furthermore, the performance of the proposed method has been investigated for a nonlinear Poisson problem. The results of computations show that the accuracy degradation of the numerical solution can be suppressed by using the proposed method. In addition, the convergence performance of the proposed method is more stable than that of the standard EFGM. Therefore, it might be concluded that the proposed method is useful for solving the nonlinear Poisson problem.

引用

页码：487 / 490

页数：4

共 50 条

[11] Application in metal rheological forming of element-free Galerkin method
罗迎社
殷水平
余敏
JournalofCentralSouthUniversityofTechnology, 2008, 15(S1) (S1) : 187 - 191
[12] Theoretical progress and application research of element-free Galerkin method
School of Materials Science and Engineering, Harbin Institute of Technology, Harbin 150001, China
Cailiao Kexue yu Gongyi, 2007, 2 (186-191):
[13] Element-free Galerkin method to the interface problems with application in electrostatic
Jannesari, Zahra
Tatari, Mehdi
INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2016, 29 (06) : 1089 - 1105
[14] Application in metal rheological forming of element-free Galerkin method
Luo Ying-she
Yin Shui-ping
Yu Min
JOURNAL OF CENTRAL SOUTH UNIVERSITY OF TECHNOLOGY, 2008, 15 (Suppl 1): : 187 - 191
[15] An extended element-free Galerkin method for thermo-mechanical dynamic fracture in linear and nonlinear materials
Wang, H. S.
COMPUTATIONAL MATERIALS SCIENCE, 2015, 98 : 366 - 371
[16] The element-free Galerkin method for the nonlinear &ITp&IT-Laplacian equation
Li, Xiaolin
Dong, Haiyun
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (07) : 2549 - 2560
[17] Convergence analysis of the element-free Galerkin method for plate bending problem
Ma, Huanhuan
Chen, Jingrun
Deng, Jiansong
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023, 136 : 71 - 79
[18] Nonlinear Analysis of Piercing Rolling Process by Element-Free Galerkin Method
Hu, Jianhua
Shuang, Yuanhua
ADVANCED MECHANICAL ENGINEERING, PTS 1 AND 2, 2010, 26-28 : 285 - 288
[19] Eddy current problems in nonlinear media by the element-free Galerkin method
Bottauscio, Oriano
Chiampi, Mario
Manzin, Alessandra
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2006, 304 (02) : E823 - E825
[20] Numerical Simulation of Nonlinear Flow Based on Element-Free Galerkin Method
Meng, Junnan
Pan, Guang
Cao, Yonghui
Li, Linfeng
Li, Zhencen
Zhou, Bing
Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University, 2019, 37 (01): : 70 - 79

← 1 2 3 4 5 →