Asymptotics for the potential in a periodic network with localized defects

Asymptotics for the potential in a periodic network with localized defects

We consider a network of conductors built on the lattice h Z2 and study how the potential is affected by a localized interior defect. We derive an asymptotic expansion of the difference between the potential of the perturbed network and that of an ideal, defect‐free network. (© 2008 WILEY‐VCH Verlag...

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Veröffentlicht in:Proceedings in applied mathematics and mechanics 2007-12, Vol.7 (1), p.1050601-1050602
Hauptverfasser: Bonnetier, Eric, Sista, Sivaji Ganesh
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
Mathematics
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Zusammenfassung:We consider a network of conductors built on the lattice h Z2 and study how the potential is affected by a localized interior defect. We derive an asymptotic expansion of the difference between the potential of the perturbed network and that of an ideal, defect‐free network. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
ISSN:1617-7061
1617-7061
DOI:10.1002/pamm.200700174