## Mathematical Models for Eddy Currents and Magnetostatics: With Selected ApplicationsThis monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented in the applied mathematics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductors leading to different mathematical models are carefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates are discussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow of electrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications. |

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Mathematical Models for Eddy Currents and Magnetostatics: With Selected ... Rachid Touzani,Jacques Rappaz No preview available - 2013 |

Mathematical Models for Eddy Currents and Magnetostatics: With Selected ... Rachid Touzani,Jacques Rappaz No preview available - 2016 |

Mathematical Models for Eddy Currents and Magnetostatics: With Selected ... Rachid Touzani,Jacques Rappaz No preview available - 2013 |

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ˆ ˆ ˆ aluminium antilinear applications assume axisymmetric boundary condition boundary integral compute conductors constant convergence coupling curl curlH curlu current density Currents and Magnetostatics deduce denote derive divv dr dz ds(y eddy current eddy current models eddy current problems electromagnetic existence and uniqueness ferromagnetic finite element method fluid given Green formula H(curl harmonic induction heating inductor infinity integral equation integral representation interface conditions iterative Lax–Milgram theorem Let us consider Let us define Lorentz force magnetic field magnetic induction magnetic permeability magnetic shaping Magnetostatics Math Mathematical Models mesh Methods Appl Models for Eddy nonlinear norm numerical solution obtain optimization present Proof Qext Rappaz recall Remark Sect sesquilinear form solving Springer Science+Business Media system of equations theorem Theorem 1.2.1 three-dimensional total current Touzani two-dimensional unique solution variational formulation vector field vector potential voltage