W. H. Schilders, H. A. van der Vorst, and J. Rommes, Eds., Model Order Reduction: Theory, Research Aspects and Applications, vol. 13. Berlin, Germany: Springer-Verlag, 2008
Y. Zhai and L. Vu-Quoc, "Analysis of power magnetic components with nonlinear static hysteresis: Proper orthogonal decomposition and model reduction," IEEE Trans. Magn., vol. 43, no. 5, pp. 1888-1897, May 2007
D. Schmidthäusler and M. Clemens, "Low-order electroquasistatic field simulations based on proper orthogonal decomposition," IEEE Trans. Magn., vol. 48, no. 2, pp. 567-570, Feb. 2012
Y. Sato and H. Igarashi, "Model reduction of three-dimensional eddy current problems based on the method of snapshots," IEEE Trans. Magn., vol. 49, no. 5, pp. 1697-1700, May 2013
D. Amsallem, "Interpolation on manifolds of CFD-based fluid and finite element-based structural reduced-order models for on-line aeroelastic predictions," Ph.D. dissertation, Dept. Aeronautics Astron., Stanford Univ., Stanford, CA, USA, 2010
T. Henneron and S. Clénet, "Model order reduction of non-linear magnetostatic problems based on POD and DEI methods," IEEE Trans. Magn., vol. 50, no. 2, Feb. 2014, Art. ID 7000604
J. V. Aguado, F. Chinesta, A. Leygue, E. Cueto, and A. Huerta, "DEIM-based PGD for parametric nonlinear model order reduction," in Proc. 6th Int. Conf. Adapt. Modeling Simulation, 2013, p. 29
P. Dular, C. Geuzaine, F. Henrotte, and W. Legros, "A general environment for the treatment of discrete problems and its application to the finite element method," IEEE Trans. Magn., vol. 34, no. 5, pp. 3395-3398, Sep. 1998
A. Bossavit, Computational Electromagnetism: Variational Formulations, Complementarity, Edge Elements. San Diego, CA, USA: Academic, 1998
L. Sirovich, "Turbulence and the dynamics of coherent structures. Part I: Coherent structures," Quart. Appl. Math., vol. 45, no. 3, pp. 561-571, 1987
G. H. Golub and C. F. Van Loan, Matrix Computations, vol. 3. Baltimore, MD, USA: The Johns Hopkins Univ. Press, 2012
S. Chaturantabut and D. C. Sorensen, "Nonlinear model reduction via discrete empirical interpolation," SIAM J. Sci. Comput., vol. 32, no. 5, pp. 2737-2764, 2010
M. Barrault, Y. Maday, N. C. Nguyen, and A. T. Patera, "An 'empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations," Comptes Rendus Math., vol. 339, no. 9, pp. 667-672, 2004
T. Henneron and S. Clénet, "Model-order reduction of multiple-input non-linear systems based on POD and DEI methods," IEEE Trans. Magn., vol. 51, no. 3, Mar. 2015, Art. ID 7207104
P. Benner, S. Gugercin, and K. Willcox, "A survey of projection-based model reduction methods for parametric dynamical systems," SIAM Rev., vol. 57, no. 4, 2015