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**Dutiné, Jennifer Susanne ; Clemens, Markus ; Schöps, Sebastian**

**Langer, Ulrich ; Amrhein, Wolfgang ; Zulehner, Walter (eds.)** (2018):

*Survey on semi-explicit time integration of eddy current problems.*

In: Mathematics in Industry, In: Scientific Computing in Electrical Engineering, pp. 137-145, Springer, ISBN 978-3-319-75537-3,

DOI: 10.1007/978-3-319-75538-0_13,

[Book Section]

## Abstract

The spatial discretization of the magnetic vector potential formulation of magnetoquasistatic field problems results in an infinitely stiff differential-algebraic equation system. It is transformed into a finitely stiff ordinary differential equation system by applying a generalized Schur complement. Applying the explicit Euler time integration scheme to this system results in a small maximum stable time step size. Fast computations are required in every time step to yield an acceptable overall simulation time. Several acceleration methods are presented.

Item Type: | Book Section |
---|---|

Erschienen: | 2018 |

Editors: | Langer, Ulrich ; Amrhein, Wolfgang ; Zulehner, Walter |

Creators: | Dutiné, Jennifer Susanne ; Clemens, Markus ; Schöps, Sebastian |

Title: | Survey on semi-explicit time integration of eddy current problems |

Language: | English |

Abstract: | The spatial discretization of the magnetic vector potential formulation of magnetoquasistatic field problems results in an infinitely stiff differential-algebraic equation system. It is transformed into a finitely stiff ordinary differential equation system by applying a generalized Schur complement. Applying the explicit Euler time integration scheme to this system results in a small maximum stable time step size. Fast computations are required in every time step to yield an acceptable overall simulation time. Several acceleration methods are presented. |

Title of Book: | Scientific Computing in Electrical Engineering |

Series Name: | Mathematics in Industry |

Number: | 28 |

Publisher: | Springer |

ISBN: | 978-3-319-75537-3 |

Divisions: | 18 Department of Electrical Engineering and Information Technology 18 Department of Electrical Engineering and Information Technology > Institute of Electromagnetic Field Theory (from 01.01.2019 renamed Institute for Accelerator Science and Electromagnetic Fields) 18 Department of Electrical Engineering and Information Technology > Institute of Electromagnetic Field Theory (from 01.01.2019 renamed Institute for Accelerator Science and Electromagnetic Fields) > Computational Engineering (from 01.01.2019 renamed Computational Electromagnetics) Exzellenzinitiative Exzellenzinitiative > Graduate Schools Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE) |

Event Location: | Berlin |

Date Deposited: | 29 May 2018 21:03 |

DOI: | 10.1007/978-3-319-75538-0_13 |

Additional Information: | TEMF-Pub-DB TEMF002688, Also part of the 11th International Conference on Scientific Computing in Electrical Engineering (SCEE), held in St. Wolfgang, Austria, in 2016. |

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