Browsing Faculty Contributions by Subject "Condenser capacity"

Now showing items 1-5 of 5

    • Condenser capacity and hyperbolic diameter 

      Mohamed M.S., Nasser; Rainio, Oona; Vuorinen, Matti ( Elsevier , 2021 , Article)
      Given a compact connected set E in the unit disk B2, we give a new upper bound for the conformal capacity of the condenser (B2,E) in terms of the hyperbolic diameter t of E. Moreover, for t>0, we construct a set of hyperbolic ...

    • Condenser capacity and hyperbolic perimeterImage 1 

      Mohamed M.S., Nasser; Rainio, Oona; Vuorinen, Matti ( Elsevier , 2021 , Article)
      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 ...

    • Conformal capacity and polycircular domains 

      Harri, Hakula; Nasser, Mohamed M.S.; Vuorinen, Matti ( Elsevier , 2023 , Article)
      We study numerical conformal mapping of multiply connected planar domains with boundaries consisting of unions of finitely many circular arcs, so called polycircular domains. We compute the conformal capacities of condensers ...

    • Isoperimetric properties of condenser capacity 

      Mohamed M.S., Nasser; Vuorinen, Matti ( Elsevier , 2021 , Article)
      For compact subsets E of the unit disk D we study the capacity of the condenser (D,E) by means of set functionals defined in terms of hyperbolic geometry. In particular, we study experimentally the case of a hyperbolic ...

    • Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals 

      Nasser, Mohamed; Rainio, Oona; Rasila, Antti; Vuorinen, Matti; Wallace, Terry; ... more authors ( Springer Nature , 2022 , Article)
      We study numerical conformal mappings of planar Jordan domains with boundaries consisting of finitely many circular arcs, also called polycircular domains, and compute the moduli of quadrilaterals for these domains. ...