• 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 ...
    • 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 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 ...
    • 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. ...