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Survey on semi-explicit time integration of eddy current problems

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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