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

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