## Eddy Current Approximation of Maxwell Equations: Theory, Algorithms and ApplicationsThis book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework. |

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### Contents

1 | |

2 A mathematical justification of the eddy current model
| 20 |

3 Existence and uniqueness of the solution
| 35 |

4 Hybrid formulations for the electric and magnetic fields
| 59 |

5 Formulations via scalar potentials
| 111 |

6 Formulations via vector potentials
| 146 |

7 Coupled FEMBEM approaches
| 205 |

8 Voltage and current intensity excitation
| 235 |

9 Selected applications
| 275 |

Appendix | 309 |

330 | |

344 | |

### Other editions - View all

Eddy Current Approximation of Maxwell Equations: Theory, Algorithms and ... Ana Alonso Rodriguez,Alberto Valli No preview available - 2010 |

Eddy Current Approximation of Maxwell Equations: Theory, Algorithms and ... Ana Alonso Rodriguez,Alberto Valli No preview available - 2014 |

### Common terms and phrases

Alonso Rodríguez Ampère equation assume basis functions Bermúdez Bossavit boundary conditions boundary value problem coercive coil computational domain conductor consider constant convergence curl curl Ac curl H curl qI curl v i curlz current density current intensity defined degrees of freedom denote div Ac eddy current model eddy current problem edge elements electric boundary condition electric field electrode electromagnetic Faraday equation finite element approximation grad VC grad XI gradx H(curl harmonic fields hence insulator interface condition iterations iwo AC iwpu iwuo Je.c Lagrange multiplier Lemma Lorenz gauge magnetic field magnetic potential matrix Maxwell equations mesh Moreover Nédélec nodal non-bounding cycles numerical approximation obtain orthogonal proof Remark result satisfied Section sesquilinear form simply-connected Stokes theorem surface test function Theorem triangulation unique solution Valli vanishing vector field vector potential voltage weak formulation