Abstract
In order that the sensitivity formulas derived in the previous chapters are used for design optimization of electromagnetic systems, the optimization algorithms and the geometry modeling for evolving shapes are both required.
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References
Sethian, J.A.: Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science. Cambridge University Press, Cambridge (1999)
Osher, S., Fedkiw, R.: Level Set Methods and Dynamic Implicit Surfaces. Springer-Verlag, New York (2003)
Dorn, O., Miller, E.L., Rappaport, C.M.: A shape reconstruction method for electromagnetic tomography using adjoint fields and level sets. Inverse Probl. 16, 1119–1156 (2000)
Allaire, G.: Shape Optimization by the Homogenization Method. Springer-Verlag, New York (2002)
Allaire, G., Jouve, F., Toader, A.-M.: Structural optimization using sensitivity analysis and a level-set method. J. Comput. Phys. 194, 363–393 (2004)
Bendsøe, M.P., Sigmund, O.: Topology Optimization: Theory. Springer-Verlag, Berlin, Methods and Applications (2004)
Wang, Y., Luo, Z., Kang, Z., Zhang, N.: A multi-material level set-based topology and shape optimization method. Comput. Methods Appl. Mech. Engrg. 283, 1570–1586 (2015)
Liu, Z., Korvink, J.G., Huang, R.: Structure topology optimization: fully coupled level set method via FEMLAB. Struct. Multidiscip. Optim. 29, 407–417 (2005)
Kim, Y.S., Byun, J.K., Park, I.H.: A level set method for shape optimization of electromagnetic systems. IEEE Trans. Magn. 45, 1466–1469 (2009)
Kim, Y.S., Park, I.H.: Topology optimization of rotor in synchronous reluctance motor using level set method and shape design sensitivity. IEEE Trans. Appl. Supercond. 20, 1093–1096 (2010)
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Park, I. (2019). Level Set Method and Continuum Sensitivity. In: Design Sensitivity Analysis and Optimization of Electromagnetic Systems. Mathematical and Analytical Techniques with Applications to Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-0230-5_7
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DOI: https://doi.org/10.1007/978-981-13-0230-5_7
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