2005
DOI: 10.1109/tmag.2005.844553
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Refinement computations of electromagnetic fields using FE and meshless methods

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 betwe… Show more

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Cited by 7 publications
(3 citation statements)
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References 13 publications
(17 reference statements)
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“…S.L. presented an alteration procedure for electromagnetic field computations using an incorporation of finite element and mesh less methods [167]. S.L.…”
Section: Finite Element Analysis For Pmsg Related Literaturementioning
confidence: 99%
“…S.L. presented an alteration procedure for electromagnetic field computations using an incorporation of finite element and mesh less methods [167]. S.L.…”
Section: Finite Element Analysis For Pmsg Related Literaturementioning
confidence: 99%
“…(1) Dividing the region into lots of parts in a certain way (2) Constructing difference schemes Based on the difference principle (3) Select the appropriate method of solving algebraic problem, programming and find the discrete solution eventually.…”
Section: The Basic Principles Of Fdmmentioning
confidence: 99%
“…Numerical analysis of electromagnetic problems is a recent topic in meshfree methods []. Conventional meshfree approximations such as Moving Least‐Squares approximation and Reproducing Kernel approximation are not interpolation methods and thus require special treatments such as Lagrange multiplier or FE/meshfree coupling method to impose the essential boundary conditions. Other meshfree interpolation methods such as Radial Point Interpolation Method were also utilized to simplify the enforcement of essential boundary conditions for electromagnetic computations .…”
Section: Introductionmentioning
confidence: 99%