Browsing Mathematics, Statistics & Physics by Author "Rainio, Oona"

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    • 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 ...