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Consistency of quasi‐static boundary value problems in electromagnetic modelling
Author(s) -
Suuriniemi S.,
Kettunen L.
Publication year - 2006
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.624
Subject(s) - electromagnetic field , consistency (knowledge bases) , computation , boundary value problem , electromagnetic theory , field (mathematics) , computer science , boundary (topology) , domain (mathematical analysis) , software , mathematics , topology (electrical circuits) , mathematical analysis , physics , algorithm , pure mathematics , artificial intelligence , combinatorics , programming language , quantum mechanics , optics
This paper analyses the possibility to computationally settle consistency of field problems, especially those arising from electromagnetic modelling: the electromagnetic theory is expressed in field‐oriented concepts, which allow for formulation of boundary value problems with no solution at all or infinitely many solutions. This possibility of such inconsistent problems decreases the productivity of electromagnetic design software. This paper relates the consistency question to topological aspects of the model domain, and proposes a scheme for routine computation of the relevant topological aspects of electromagnetic models. Copyright © 2006 John Wiley & Sons, Ltd.