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Bartel, Andreas, Baumanns, Sascha and Schoeps, Sebastian (2011). Structural analysis of electrical circuits including magnetoquasistatic devices. Appl. Numer. Math., 61 (12). S. 1257 - 1271. AMSTERDAM: ELSEVIER. ISSN 1873-5460

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Abstract

Modeling electric circuits that contain magnetoquasistatic (MQS) devices leads to a coupled system of differential-algebraic equations (DAEs). In our case, the MQS device is described by the eddy current problem being already discretized in space (via edge-elements). This yields a DAE with a properly stated leading term, which has to be solved in the time domain. We are interested in structural properties of this system, which are important for numerical integration. Applying a standard projection technique, we are able to deduce topological conditions such that the tractability index of the coupled problem does not exceed two. Although index-2, we can conclude that the numerical difficulties for this problem are not severe due to a linear dependency on index-2 variables. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bartel, Andreas UNSPECIFIED UNSPECIFIED UNSPECIFIED Baumanns, Sascha UNSPECIFIED UNSPECIFIED UNSPECIFIED Schoeps, Sebastian UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-484320
DOI:	10.1016/j.apnum.2011.08.004
Journal or Publication Title:	Appl. Numer. Math.
Volume:	61
Number:	12
Page Range:	S. 1257 - 1271
Date:	2011
Publisher:	ELSEVIER
Place of Publication:	AMSTERDAM
ISSN:	1873-5460
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language STABILITY PRESERVING INTEGRATION; COUPLED-CIRCUIT Multiple languages Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48432