Browsing Mathematics, Statistics & Physics by Subject "Numerical conformal mapping"

Now showing items 1-8 of 8

    • Computation of conformal invariants 

      Mohamed M.S., Nasser; Vuorinen, Matti ( Elsevier , 2020 , Article)
      We study numerical computation of conformal invariants of domains in the complex plane. In particular, we provide an algorithm for computing the conformal capacity of a condenser. The algorithm applies to a wide variety ...

    • 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 ...

    • Numerical computation of Mityuk's function and radius for circular/radial slit domains 

      El Mostafa, Kalmoun; Nasser, Mohamed M.S.; Vuorinen, Matti ( Elsevier , 2020 , Article)
      We consider Mityuk's function and radius which have been proposed in [15] as generalizations of the reduced modulus and conformal radius to the cases of multiply connected domains. We present a numerical method to compute ...

    • Numerical computation of the capacity of generalized condensers 

      Mohamed M.S., Nasser; Vuorinen, Matti ( Elsevier , 2020 , Article)
      We present a boundary integral method for numerical computation of the capacity of generalized condensers. The presented method applies to a wide variety of generalized condenser geometry including the cases when the plates ...

    • Numerical Computation of the Conformal Map onto Lemniscatic Domains 

      Nasser, Mohamed M.S.; Liesen, Jörg; Sète, Olivier ( Springer , 2016 , Article)
      We present a numerical method for the computation of the conformal map from unbounded multiply-connected domains onto lemniscatic domains. For ℓ -times connected domains, the method requires solving ℓ boundary integral ...

    • Numerical Computing of Preimage Domains for Bounded Multiply Connected Slit Domains 

      Nasser, Mohamed M. S. ( Springer New York LLC , 2019 , Article)
      In this paper, for a given bounded multiply connected slit domai, we present an iterative numerical method for computing a conformally equivalent multiply connected domain G bounded by smooth Jordan curves and the conformal ...

    • Numerical Conformal Mapping onto the Parabolic, Elliptic and Hyperbolic Slit Domains 

      Nasser M.M.S. ( Springer , 2018 , Article)
      This paper presents a numerical method for computing the conformal mappings onto the parabolic slit domain, the elliptic slit domain and the hyperbolic slit domain. The method relies on a boundary integral equation with ...

    • PlgCirMap: A MATLAB toolbox for computing conformal mappings from polygonal multiply connected domains onto circular domains 

      Mohamed M.S., Nasser ( Elsevier , 2020 , Article)
      This paper presents a MATLAB toolbox for computing the conformal mapping from a given polygonal multiply connected domain onto a circular multiply connected domain and its inverse. The toolbox can be used for multiply ...