Study of weight functions in the element-free galerkin method

Suzhen Liu; Qingxin Yang; Chuang Zhang; Liang Jin

Study of weight functions in the element-free galerkin method

Suzhen Liu^*
, Qingxin Yang
, Chuang Zhang
, Liang Jin

^*Corresponding author for this work

Hebei University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

The weight function plays an important role in the performance of the Element-Free Galerkin Method (EFGM). It can impose a tremendous influence on the accuracy of solutions, the complexity of computation and the rate of convergence. The continuity of the weight function causes the continuity of the shape function in the EFGM. Therefore, it becomes particularly urgent to select an appropriate weight function suited to electromagnetic calculations. In this paper, detailed research is discussed on some key problems, such as the regularity of the influence domain width, the formula of the influence radius of nodes in three-dimensional computations and the weight function on the accuracy of the approximate solution and the computation time.

Original language	English
Title of host publication	Proceedings of the 11th International Conference on Electrical Machines and Systems, ICEMS 2008
Pages	391-394
Number of pages	4
State	Published - 2008
Externally published	Yes
Event	11th International Conference on Electrical Machines and Systems, ICEMS 2008 - Wuhan, China Duration: 17 Oct 2008 → 20 Oct 2008

Publication series

Name	Proceedings of the 11th International Conference on Electrical Machines and Systems, ICEMS 2008

Conference

Conference	11th International Conference on Electrical Machines and Systems, ICEMS 2008
Country/Territory	China
City	Wuhan
Period	17/10/08 → 20/10/08

Cite this

@inproceedings{18e02beb91d74678bc2e35cf749f866a,

title = "Study of weight functions in the element-free galerkin method",

abstract = "The weight function plays an important role in the performance of the Element-Free Galerkin Method (EFGM). It can impose a tremendous influence on the accuracy of solutions, the complexity of computation and the rate of convergence. The continuity of the weight function causes the continuity of the shape function in the EFGM. Therefore, it becomes particularly urgent to select an appropriate weight function suited to electromagnetic calculations. In this paper, detailed research is discussed on some key problems, such as the regularity of the influence domain width, the formula of the influence radius of nodes in three-dimensional computations and the weight function on the accuracy of the approximate solution and the computation time.",

author = "Suzhen Liu and Qingxin Yang and Chuang Zhang and Liang Jin",

year = "2008",

language = "英语",

isbn = "9787506292214",

series = "Proceedings of the 11th International Conference on Electrical Machines and Systems, ICEMS 2008",

pages = "391--394",

booktitle = "Proceedings of the 11th International Conference on Electrical Machines and Systems, ICEMS 2008",

note = "11th International Conference on Electrical Machines and Systems, ICEMS 2008 ; Conference date: 17-10-2008 Through 20-10-2008",

}

Liu, S, Yang, Q, Zhang, C & Jin, L 2008, Study of weight functions in the element-free galerkin method. in Proceedings of the 11th International Conference on Electrical Machines and Systems, ICEMS 2008., 4770724, Proceedings of the 11th International Conference on Electrical Machines and Systems, ICEMS 2008, pp. 391-394, 11th International Conference on Electrical Machines and Systems, ICEMS 2008, Wuhan, China, 17/10/08.

Study of weight functions in the element-free galerkin method. / Liu, Suzhen; Yang, Qingxin; Zhang, Chuang et al.
Proceedings of the 11th International Conference on Electrical Machines and Systems, ICEMS 2008. 2008. p. 391-394 4770724 (Proceedings of the 11th International Conference on Electrical Machines and Systems, ICEMS 2008).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Study of weight functions in the element-free galerkin method

AU - Liu, Suzhen

AU - Yang, Qingxin

AU - Zhang, Chuang

AU - Jin, Liang

PY - 2008

Y1 - 2008

N2 - The weight function plays an important role in the performance of the Element-Free Galerkin Method (EFGM). It can impose a tremendous influence on the accuracy of solutions, the complexity of computation and the rate of convergence. The continuity of the weight function causes the continuity of the shape function in the EFGM. Therefore, it becomes particularly urgent to select an appropriate weight function suited to electromagnetic calculations. In this paper, detailed research is discussed on some key problems, such as the regularity of the influence domain width, the formula of the influence radius of nodes in three-dimensional computations and the weight function on the accuracy of the approximate solution and the computation time.

AB - The weight function plays an important role in the performance of the Element-Free Galerkin Method (EFGM). It can impose a tremendous influence on the accuracy of solutions, the complexity of computation and the rate of convergence. The continuity of the weight function causes the continuity of the shape function in the EFGM. Therefore, it becomes particularly urgent to select an appropriate weight function suited to electromagnetic calculations. In this paper, detailed research is discussed on some key problems, such as the regularity of the influence domain width, the formula of the influence radius of nodes in three-dimensional computations and the weight function on the accuracy of the approximate solution and the computation time.

UR - https://www.scopus.com/pages/publications/67649432929

M3 - 会议稿件

AN - SCOPUS:67649432929

SN - 9787506292214

T3 - Proceedings of the 11th International Conference on Electrical Machines and Systems, ICEMS 2008

SP - 391

EP - 394

BT - Proceedings of the 11th International Conference on Electrical Machines and Systems, ICEMS 2008

T2 - 11th International Conference on Electrical Machines and Systems, ICEMS 2008

Y2 - 17 October 2008 through 20 October 2008

ER -

Study of weight functions in the element-free galerkin method

Abstract

Publication series

Conference

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