## Scientific Computing in Electrical Engineering: Proceedings of the 3rd International Workshop, August 20–23, 2000, Warnemünde, GermanyUrsula van Rienen, Michael Günther, Dirk Hecht rd This book presents a collection of selected contributions presented at the 3 International Workshop on Scientific Computing in Electrical Engineering, SCEE-2000, which took place in Warnemiinde, Germany, from August 20 to 23, 2000. Nearly hundred scientists and engineers from thirteen countries gathered in Warnemiinde to participate in the conference. Rostock Univer sity, the oldest university in Northern Europe founded in 1419, hosted the conference. This workshop followed two earlier workshops held 1997 at the Darmstadt University of Technology and 1998 at Weierstrass Institute for Applied Anal ysis and Stochastics in Berlin under the auspices ofthe German Mathematical Society. These workshops aimed at bringing together two scientific communi ties: applied mathematicians and electrical engineers who do research in the field of scientific computing in electrical engineering. This, of course, is a wide field, which is why it was decided to concentrate on selected major topics. The workshop in Darmstadt, which was organized by Michael Giinther from the Mathematics Department and Ursula van Rienen from the Department of Electrical Engineering and Information Technology,brought together more than hundred scientists interested in numerical methods for the simulation of circuits and electromagnetic fields. This was a great success. Voices coming from the participants suggested that it was time to bring these communities together in order to get to know each other, to discuss mutual interests and to start cooperative work. A collection of selected contributions appeared in 'Surveys on Mathematics for Industry', Vol.8, No. 3-4 and Vol.9, No.2, 1999. |

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### Contents

5 | |

Edge Finite Elements of Variable Order for Maxwells Equations 15 | 33 |

Computational Electromagnetism in Transformer | 57 |

Numerical Algorithms for the Calculation of MagnetoQuasistatic Fields | 70 |

On the Representation of Differential Forms by Potentials | 101 |

R Schuhmann T Weiland | 114 |

A Scalar BEM for Time Harmonic Eddy Current Problems with | 130 |

Shape Optimization of Homogeneous Electromagnets | 147 |

Robust Limit Cycle Calculations of Oscillators | 235 |

Neural Networks for Device and Circuit Modelling | 253 |

Submicrometer Bipolar Transistor Modeling Using | 261 |

Error Indicator and Adaptive Meshing for Hierarchical | 287 |

Parallel Algorithms for Solving Linear Equations | 302 |

Symmetrical Retarded Current Source Model | 319 |

A Survey on Parameter Extraction Techniques for Coupling | 338 |

A Mathematical Framework for the Finite Element Modelling | 361 |

K Rothemund H W Glock M Borecky U van Rienen | 162 |

G Pöplau U van Rienen | 176 |

CHORAL A One Step Method as Numerical Low Pass Filter | 201 |

Periodic SteadyState Analysis of Freerunning Oscillators 217 | 219 |

Dual Magnetodynamic Finite Element Formulations with Natural | 368 |

H De Gersem S Vandewalle K Hameyer | 388 |

Analysis of Coupled Electromagnetic and Thermal Fields in | 409 |

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