An Adaptive Finite Element Method for Minor Shape Modification in Optimization Algorithms

In this paper, we propose a method of adaptive finite element meshing, which is effective for minor shape modifications in optimization of electric machines. In the method, the mesh for the new shape in the optimization process is generated from the mesh of the previous shape with minimum modificati...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2008-06, Vol.44 (6), p.1202-1205
Main Authors: Yamazaki, K., Ishigami, H., Abe, A.
Format: Article
Language:English
Subjects:
Adaptive algorithms
Adaptive finite element method
Algorithms
Boundary conditions
Cross-disciplinary physics: materials science
rheology
electric machine
Electric machines
Electromagnetic analysis
Electromagnetic fields
Error analysis
Exact sciences and technology
Finite element method
Finite element methods
Laplace equation
Laplace equations
Laplace's equation
Magnetism
Materials science
Mathematical analysis
Mesh generation
Meshing
Optimization
Optimization methods
Other topics in materials science
Physics
Shape
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Summary:In this paper, we propose a method of adaptive finite element meshing, which is effective for minor shape modifications in optimization of electric machines. In the method, the mesh for the new shape in the optimization process is generated from the mesh of the previous shape with minimum modification. The locations of the nodes for the new shape are decided by solving the Laplace's equation, whose unknowns are displacements of the nodes. The adaptive finite element meshing is started from the modified mesh. The method can reduce the calculation time and improve the quality of the optimized results.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2007.916252