Dutiné, Jennifer Susanne and Clemens, Markus and 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
[Book Section]
, (2018)
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 |
| Creators: | Dutiné, Jennifer Susanne and Clemens, Markus and 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 SCEE 2016 |
| Series Name: | Mathematics in Industry |
| Place of Publication: | Berlin |
| Publisher: | Springer |
| Divisions: | 18 Department of Electrical Engineering and Information Technology 18 Department of Electrical Engineering and Information Technology > Institute of Electromagnetic Field Theory 18 Department of Electrical Engineering and Information Technology > Institute of Electromagnetic Field Theory > Computational Engineering (2019 umbenannt in 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 |
| Official URL: | https://doi.org/10.1007/978-3-319-75538-0_13 |
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