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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