## Field Solutions on ComputersField Solutions on Computers covers a broad range of practical applications involving electric and magnetic fields. The text emphasizes finite-element techniques to solve real-world problems in research and industry. After introducing numerical methods with a thorough treatment of electrostatics, the book moves in a structured sequence to advanced topics. These include magnetostatics with non-linear materials, permanent magnet devices, RF heating, eddy current analysis, electromagnetic pulses, microwave structures, and wave scattering. The mathematical derivations are supplemented with chapter exercises and comprehensive reviews of the underlying physics. The book also covers essential supporting techniques such as mesh generation, interpolation, sparse matrix inversions, and advanced plotting routines. |

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### Contents

Introduction | 1 |

Exercises | 38 |

Exercises | 58 |

FiniteDifference Solutions | 61 |

Exercises | 83 |

Exercises | 107 |

Exercises | 130 |

Exercises | 154 |

Exercises | 212 |

Exercises | 244 |

LowFrequency Electric and Magnetic | 251 |

Exercises | 267 |

Exercises | 293 |

Exercises | 325 |

Exercises | 366 |

Exercises | 179 |

### Common terms and phrases

Ampere's law applied field approximately axes axis block matrix boundary conditions calculations Chapter charge density circuit integral coefficients coil complex contours coordinates coupling constants current density cylindrical derivative dielectric constant difference equations electric field electrode electromagnetic electrostatic solution element equals expression field components field energy field solutions Figure finite-difference finite-element finite-element equations flux frequency function Gauss Gauss-Jordan elimination geometry gives interpolation layer logical mesh loop magnetic field material properties matrix Maxwell equations mesh method mode Neumann boundary one-dimensional parameters particle planar plot Poisson equation position probe problems procedure propagation pulse quantity radius region number regular mesh represent resonant segment shows side of Equation solution region solution volume solve space space-charge spatial surface integral techniques temperature tesla thermal three-dimensional time-domain tion triangles tridiagonal two-dimensional uniform variations vector potential velocity vertex vertices voltage wave width x-y plane zero