## Field Solutions on ComputersCRC Press, 1997 M12 29 - 400 pages Field 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. |

### 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 |

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### Common terms and phrases

A₁ A₂ Ampere's law amplitude applied field approximately B₁ 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 E₁ 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 linear logical mesh loop magnetic field matrix mesh method Neumann boundary NMat one-dimensional particle planar plot Poisson equation probe problems propagation pulse quantity R₁ radius region number regular mesh resonant Section shows side of Equation solution region solution volume space space-charge spatial surface integral techniques tesla three-dimensional time-domain tion triangle triangular mesh two-dimensional uniform values variations vector potential velocity vertex vertices voltage W₁ wave width x-y plane Y₁ zero