Homogenization of Structured Electromagnetic Materials and metamaterials, Journal of Materials Processing Technology, vol.181, issue.1, 2007. ,
Revival of the magnetoelectric effect, Journal Physics D: Applied Physics, vol.38, pp.123-152, 2005. ,
Possible applications for magnetoelectric materials, Int. Journal Magn, vol.5, pp.303-315, 1974. ,
Present status of theoretical modeling the magnetoelectric effect in magnetostrictivepiezoelectric nanostructures. Part I: Low frequency and electromechanical resonance ranges, Journal of Applied Physics, vol.107, 2010. ,
Generic formalism for homogenization of coupled behavior: Application to magnetoelectroelastic behavior, Physical Review B, vol.78, p.0, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00354428
Multiferroic magnetoelectric composites: Historical perspective, status, and future directions, Journal of Applied Physics, vol.103, 2008. ,
Finite Element Modelling of Magnetoelectric Sensors, IEEE Trans. on Magn, vol.44, issue.6, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00352289
3D finite element model for magnetoelectric sensors, Eur. Phys. J. Appl. Phys, vol.52, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00623577
Finite Element Modeling of Magnetoelectric Composites with Interdigitated Electrodes, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01174743
Effect of magnetic bias field on magnetoelectric coupling in magnetoelectric composites, Journal of Applied Physics, vol.94, 2003. ,
Influence of Mechanical Boundary Conditions on Magnetolectric Sensors, IEEE Trans. on Magn, vol.49, issue.5, 2013. ,
Finite element modeling of magnetic field sensors based on nonlinear magnetoelectric effect, Journal of Applied Physics, vol.109, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00711554
Magnetoelectric sensor for microtesla magnetic-fields based on (Fe 80Co20)78Si12B10/PZT laminates, Sensors and Actuators A: Physical, vol.149, 2009. ,
Electrostatically tunable magnetoelectric inductors with large inductance tenability, Applied Physics Letters, vol.94, 2009. ,
Magnetostrictive-piezoelectric composite structures for energy harvesting, Journal of Micromechanics and Microengineering, vol.22, p.94009, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00766924
Finite element modeling of magnetoelectric laminate composites in considering nonlinear and load effects for energy harvesting, Journal of Alloys and Compounds, vol.615, pp.65-74, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01025058
Toward energy harvesting using active materials and conversion improvement by nonlinear processing, Ultrasonics, Ferroelectrics and Frequency Control, vol.52, issue.4, pp.584-595, 2010. ,
, Modeling of a beam structure with piezoelectric materials: introduction to SSD techniques, vol.27, pp.205-214, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00336752
Finite Element Modeling of a Magnetoelectric Energy Transducer Including the Load Effect, IEEE Trans. on Magn, vol.51, issue.3, pp.1-5 ,
URL : https://hal.archives-ouvertes.fr/hal-00960967
The Proper Generalized Decomposition for Advanced Numerical Simulations, A. Primer, 2014. ,
On the deterministic solution of multidimensional parametric models using the Proper Generalized Decomposition, Numerical Methods in Engineering, Mathematics and Computers in Simulation, vol.81, issue.4, pp.791-810, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00704427
Model Reduction Based on Proper Generalized Decomposition for the Stochastic Steady Incompressible Navier-Stokes Equations, SIAM J. Sci. Comput. vol, vol.36, issue.3, pp.1089-1117, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00733733
A proper generalized decomposition approach for modeling fuel cell polymeric membranes, IEEE Trans. Mag, vol.47, issue.5, pp.1462-1465, 2011. ,
Nonlinear Proper Generalized Decomposition Method Applied to the Magnetic Simulation of a SMC Microstructure, IEEE Trans. Mag, vol.48, issue.11, pp.3242-3245, 2012. ,
Application of the PGD and DEIM to Solve a 3-D Non-Linear Magnetostatic Problem Coupled With the Circuit Equations, IEEE Trans. Magn, vol.52, issue.3, p.7202104, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01273222
Simulation of skin effect via separated representations, COMPEL, vol.29, issue.4, pp.919-929, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01008914
Model order reduction of quasi-static problems based on POD and PGD approaches, Eur. Phys. J. Appl. Phys, vol.64, issue.2, p.7, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00851978
Proper generalized decomposition method applied to solve 3D magnetoquasi-static field problems coupling with external electric circuits, IEEE Trans. Magn, vol.51, issue.6, p.7208910, 2015. ,
A proper generalized decomposition based solver for nonlinear magneto-thermal problems, IEEE Trans. Magn, vol.52, issue.2, p.7400209, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01229635
Application of the PGD in Parametric Finite Element Simulation of a Piezoelectric Energy Harvester, 10th International Symposium on Electric and Magnetic Fields, 2016. ,
, UPMC, 11 rue Joliot Curie, Plateau de Moulon, 91192 Gif sur Yvette Cedex, France, Tel. +33169851658, xavier.mininger@geeps.centralesupelec.fr Hakeim Talleb, Sorbonne Universités, UPMC Univ Paris 06, UR2, L2E, F-75005
Laboratory of electrical engineering and power electronics (L2EP), EA 2697, bat. P2, cité scientifique, 59655 Villeneuve d'ascq, France, Tel. +3320434865, thomas.henneron@univ-lille1.fr The authors are from the organizing laboratories of Compumag, 2019. ,