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Title: Refinement computations of electromagnetic fields using FE and meshless methods
Authors: Ho, SL 
Yang, S
Wong, HCC
Lo, E 
Ni, G
Issue Date: May-2005
Source: IEEE transactions on magnetics, May 2005, v. 41, no. 5, p. 1456-1459
Abstract: A refinement algorithm for electromagnetic field computations using a combination of finite element and meshless methods is introduced. Bridging scales are used to separate the finite element and meshless shape functions to make the refinement hierarchical and to uphold the mathematical properties such as consistency and linear independence for all the bases. To facilitate the application of the proposed algorithm, details about the node addition, requirements for the node distribution, and relationships between the finite element and meshless shape functions, as well as the determination of the stop criterion are also fully addressed. Primary numerical results are reported to demonstrate and validate the applicability and advantages of the proposed algorithm over traditional ones.
Keywords: Bridge scales
Meshless method
Moving least squares approximation
Refinement computation
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE transactions on magnetics 
ISSN: 0018-9464
EISSN: 1941-0069
DOI: 10.1109/TMAG.2005.844553
Rights: © 2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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