On an asymptotic formula for the maximum voltage drop in a on-chip power distribution network
dc.contributor.author
dc.date.accessioned
2014-03-24T14:36:54Z
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2014-03-24T14:36:54Z
dc.date.issued
2011
dc.identifier.issn
0956-7925
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dc.description.abstract
We present a new asymptotic formula for the maximum static voltage in a simplified model for on-chip power distribution networks of array bonded integrated circuits. In this model the voltage is the solution of a Poisson equation in an infinite planar domain whose boundary is an array of circular pads of radius ", and we deal with the singular limit Ɛ → 0 case. In comparison with approximations that appear in the electronic engineering literature, our formula is more complete since we have obtained terms up to order Ɛ15. A procedure will be presented to compute all the successive terms, which can be interpreted as using multipole solutions of equations involving spatial derivatives of functions. To deduce the formula we use the method of matched asymptotic expansions. Our results are completely analytical and we make an extensive use of special functions and of the Gauss constant G
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application/pdf
dc.language.iso
eng
dc.publisher
Cambridge University Press (CUP)
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Reproducció digital del document publicat a: http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8509585
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© European Journal of Applied Mathematics, 2011, vol. 23, núm. 2, p.245-265
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Articles publicats (D-IMA)
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Tots els drets reservats
dc.title
On an asymptotic formula for the maximum voltage drop in a on-chip power distribution network
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/submittedVersion
dc.identifier.idgrec
015096
dc.identifier.eissn
1469-4425