[1] Wang Desheng, Wan Shui,. Composite grid method for analysis of electromagnetic field [J]. Journal of Southeast University (English Edition), 2003, 19 (1): 49-52. [doi:10.3969/j.issn.1003-7985.2003.01.012]

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Composite grid method for analysis of electromagnetic field()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

19

Issue:

2003 1

Page:

49-52

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2003-03-30

Info

Title:

Composite grid method for analysis of electromagnetic field

Author(s):

Wang Desheng¹;  Wan Shui²

¹Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China
²College of Transportation, Southeast University, Nanjing 210096, China

Keywords:

composite grid;  global analysis;  local analysis

PACS:

O242.21

DOI:

10.3969/j.issn.1003-7985.2003.01.012

Abstract:

In this paper, a composite grid method(CGM)for finite element(FE)analysis of an electromagnetic field with strong local interest is proposed. The method is based on the regular finite element method in conjunction with three basic steps, i.e. global analysis, local analysis, and modified global analysis. In the first two steps, a coarse finite element mesh is used to analyze the global model to obtain the nodal potentials which are subsequently used as artificial boundary conditions for local regions of interest. These local regions with the prescribed boundary conditions are then analyzed with refined meshes to obtain more accurate potential and density distribution. In the third step, a modified global analysis is performed to obtain more improved solution for potential and density distribution. And iteratively, successively improved solutions can be obtained until the desired accuracy is achieved. Various numerical experiments show that CGM yields accurate solutions with significant savings in computing time compared with the regular finite element method.

References:

[1] McCormick S F, Thomas J. The fast adaptive composite grid method(FAC)for elliptic boundary value problems[J]. Math Comp, 1986, 46:439-456.
[2] Ferket P J J, Reusken A. Further analysis of the local defect correction method [J]. Computing, 1996, 56(2): 117-139.
[3] Mao K M, Sun C T. A refined global-local finite element analysis method [J]. Int J Numer Methods Eng, 1991, 32: 29-43.
[4] Whitcomb J D. Iterative global/local finite element analysis [J]. Computers and Structures, 1991, 40(4): 1027-1031.

Memo

Memo:

Biographies: Wang Desheng(1972—), male, doctor; Wan Shui(corresponding author), male, associate professor, wanshui60421@yahoo.com.

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