• 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 ...
    • Fast and Accurate Computation of the Logarithmic Capacity of Compact Sets 

      Liesen, Jörg; Sète, Olivier; Nasser, Mohamed M. S. ( Springer Berlin Heidelberg , 2017 , Article)
      We present a numerical method for computing the logarithmic capacity of compact subsets of C, which are bounded by Jordan curves and have finitely connected complement. The subsets may have several components and need not ...
    • 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 ...
    • Simulating local fields in carbon nanotube-reinforced composites for infinite strip with voids 

      Nasser, Mohamed M. S.; Kalmoun, El Mostafa; Mityushev, Vladimir; Rylko, Natalia ( Springer , 2022 , Article)
      A numerical simulation of the thermal properties is conducted for an isotropic and homogeneous infinite strip composite reinforced by carbon nanotubes (CNTs) and containing voids. The CNTs can be uniformly or randomly ...