Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/12026
Title: An adaptive mesh method in transient finite element analysis of magnetic field using a novel error estimator
Authors: Zhao, Y
Zhang, X
Ho, SL 
Fu, WN 
Keywords: A posteriori error estimator
Adaptive mesh refinement
Finite element method (FEM)
Magnetic field
Numerical method
Issue Date: 2012
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on magnetics, 2012, v. 48, no. 11, 6332699, p. 4160-4163 How to cite?
Journal: IEEE transactions on magnetics 
Abstract: A novel error estimator for adaptive mesh refinement in finite element analysis (FEA) of magnetic field using quadratic finite elements is presented. The method uses a novel heuristic a posteriori error estimator, which is easy to compute and simple to implement, as an indicator of the numerical errors of the computed solution. The proposed error estimator is the L 2 norm of the difference between the computed quadratic finite element solution and the interpolated linear solution. Throughout the time-stepping process for problems excited by periodic sinusoidal excitations, this error estimator can also be used to efficiently compute the numerical error at each time step and guide the adaptive mesh refinement in transient FEA. A multi-time-step adaptive mesh refinement method is also proposed in this paper for transient problems. The proposed method does not need to interpolate the solution from old mesh to a new adaptively refined mesh in transient FEA and hence there is no interpolation error. The effectiveness of the proposed error estimator is illustrated through several numerical examples being reported in this paper.
URI: http://hdl.handle.net/10397/12026
ISSN: 0018-9464
EISSN: 1941-0069
DOI: 10.1109/TMAG.2012.2198442
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