| Issue |
ESAIM: M2AN
Volume 51, Number 3, May-June 2017
|
|
|---|---|---|
| Page(s) | 1045 - 1061 | |
| DOI | https://doi.org/10.1051/m2an/2016052 | |
| Published online | 02 June 2017 | |
Existence and uniqueness of a solution for a field/circuit coupled problem∗
Department of Mathematical Analysis, Research group of Numerical Analysis and Mathematical Modeling (NaM 2), Ghent University, Ghent, Belgium.
marian.slodicka@ugent.be
Received: 16 December 2015
Revised: 28 June 2016
Accepted: 26 July 2016
In this paper we show unique solvability of an abstract coupled problem which originates from a field/circuit coupled problem. The coupled problem arises in particular from modified nodal analysis equations linked with an eddy current problem via solid conductor model. The proof technique in the paper relies on Rothe’s method and the theory of monotone operator. We also provide error estimates for time discretization.
Mathematics Subject Classification: 47N20 / 65M12 / 65M20
Key words: Coupled problem / field/circuit / uniqueness / convergence / time discretization
© EDP Sciences, SMAI 2017
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