Survey on semi-explicit time integration of eddy current problems

Dutiné, Jennifer Susanne ; Clemens, Markus ; Schöps, Sebastian
Langer, Ulrich (ed.) :
Survey on semi-explicit time integration of eddy current problems.
[Online-Edition: https://doi.org/10.1007/978-3-319-75538-0_13]
In: Scientific Computing in Electrical Engineering SCEE 2016. Mathematics in Industry. Springer, Berlin Berlin
[Buchkapitel] , (2018)

Offizielle URL: https://doi.org/10.1007/978-3-319-75538-0_13

Kurzbeschreibung (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.

Typ des Eintrags:	Buchkapitel
Erschienen:	2018
Herausgeber:	Langer, Ulrich
Autor(en):	Dutiné, Jennifer Susanne ; Clemens, Markus ; Schöps, Sebastian
Titel:	Survey on semi-explicit time integration of eddy current problems
Sprache:	Englisch
Kurzbeschreibung (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.
Buchtitel:	Scientific Computing in Electrical Engineering SCEE 2016
Reihe:	Mathematics in Industry
Ort:	Berlin
Verlag:	Springer
Fachbereich(e)/-gebiet(e):	18 Fachbereich Elektrotechnik und Informationstechnik 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Theorie Elektromagnetischer Felder 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Theorie Elektromagnetischer Felder > Computational Engineering Exzellenzinitiative Exzellenzinitiative > Graduiertenschulen Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE)
Veranstaltungsort:	Berlin
Hinterlegungsdatum:	29 Mai 2018 21:03
DOI:	10.1007/978-3-319-75538-0_13
Offizielle URL:	https://doi.org/10.1007/978-3-319-75538-0_13
Verwandte URLs:	https://arxiv.org/abs/1709.07068
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