A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä

Condenser capacity and hyperbolic perimeter[Formula presented]




TekijätNasser Mohamed M.S., Rainio Oona, Vuorinen Matti

KustantajaElsevier Ltd

Julkaisuvuosi2022

JournalComputers and Mathematics with Applications

Tietokannassa oleva lehden nimiComputers and Mathematics with Applications

Vuosikerta105

Numero1

Aloitussivu54

Lopetussivu74

eISSN1873-7668

DOIhttps://doi.org/10.1016/j.camwa.2021.11.016(external)

Verkko-osoitehttps://doi.org/10.1016/j.camwa.2021.11.016(external)

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/174661648(external)


Tiivistelmä

We study the conformal capacity by using novel computational algorithms based on implementations of the fast multipole method, and analytic techniques. Especially, we apply domain functionals to study the capacities of condensers (G, E) where G is a simply connected domain in the complex plane and E is a compact subset of G. Due to conformal invariance, our main tools are the hyperbolic geometry and functionals such as the hyperbolic perimeter of E. Our computational experiments demonstrate, for instance, sharpness of established inequalities. In the case of model problems with known analytic solutions, very high precision of computation is observed


Ladattava julkaisu

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Last updated on 2024-26-11 at 20:44