Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/12617
Title: A novel adaptive mesh finite element method for nonlinear magnetic field analysis
Authors: Zhao, Y
Ho, SL 
Fu, WN 
Keywords: Adaptive mesh
Constrained degree of freedom
Finite element
Magnetic field
mesh coarsening
Issue Date: 2013
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on magnetics, 2013, v. 49, no. 5, 6514514, p. 1777-1780 How to cite?
Journal: IEEE transactions on magnetics 
Abstract: A novel adaptive finite element method for the numerical simulation of magnetic fields with nonlinear materials is presented. The proposed method incorporates functions of both mesh refinement and mesh coarsening. Instead of explicitly eliminating unnecessary nodes in the mesh, the proposed mesh coarsening algorithm only needs a single mesh. The procedure is to apply constraints to those degrees of freedom with small estimated error. This process avoids solution interpolation errors due to changes from a fine mesh to a coarse mesh and can be implemented readily. The slave-master technique is adopted to eliminate the constrained degrees of freedom in the linear system, which has the same effect as mesh coarsening. Implementation details of the algorithm are presented and numerical examples are tested to showcase the effectiveness of the proposed method.
URI: http://hdl.handle.net/10397/12617
ISSN: 0018-9464
EISSN: 1941-0069
DOI: 10.1109/TMAG.2013.2245113
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