Hoppe, R. H. W. and Kornhuber, R.
(1990)
*Multi-grid solution of two coupled Stefan equations arising in induction heating of large steel slabs.*
International Journal for Numerical Methods in Engineering, 30
(4).
pp. 779-801.
ISSN 1097-0207

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1002/nme.1620300414

## Abstract

Induction heating of large steel slabs can be described by a coupled system of non-linear evolution equations of Stefan type represnting the temporal and spatial distribution of the induced magnetic field and the generated temperature within the slab. Discretizing these equations implicitly in time and by finite differences in space, at each time step the solution of a system of difference inclusions is required. For the solution of that system two multi-grid algorithms are given which, combined with a nested iteration type continuation strategy to proceed in time, result in computationally highly efficient schemes for the numerical simulation of the induction heating process.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences > Mathematics > Numerical Analysis |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 1923 |

Deposited By: | Ekaterina Engel |

Deposited On: | 24 Jun 2016 18:14 |

Last Modified: | 24 Jun 2016 18:14 |

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