Conception 3-D Analytical Equivalent Magnetic Circuit Modélisation Modèles analytiques Sub-differential Steel sheet Rosen type transformer PIV Optimization Electromagnetism Inverse problem Modèles numériques PROBLEM OF SOMMERFELD 3D Analytical Equivalent Magnetic Circuit SIMP method Magnetic field Additive manufacturing Branch&Bound Heat transfer enhancement Hysteresis Paschen Optimal design Décharges partielles Adjoint Method Lorentz force law Aerodynamics Relaxation method FDTD Control Global optimization Moteur électrique Actuators Design Piezoelectric actuators Exact global optimization Ironless GROUND WAVE PROPAGATION Shooting method Piezoelectric transformer Minor loops Maxwell equations Optimization algorithms 1D multi-physics model Electric motor 3D FDTD Piézoélectricité Deterministic global optimization Analytical modeling Energy harvesting Accouplement magnétique Magnetic coupling Shape-memory Alloys 3D FDTD HYBRIDIZATION Thermic process Inverse Problem Synchronous Reluctance Iron losses Permanent Magnet Electric Motors Morphing HYBRIDIZATION Torque Motor Shear layer Electromechanical impedance Play model 3EP Topology optimization Magnetic scalar potential Finite elements Nonlinear modeling Boundary integral equations Optimal control Piezoelectric energy harvester Post-buckled beams Axial flux machines Numerical simulation Optimisation Time-resolved PIV Hysterons Magnetic Flux Leakage Interval arithmetic 3D finite difference method Modeling Smart materials Shape memory alloys Torque Actionneurs Topology Optimization Force sensor Sensitivity Analysis Electromechanical actuator Branch and Bound Algorithm Analytical model Eddy currents Numerical model Piezoelectricity Turbulence PDE-constrained optimization Partial discharges Electrical machines