Mathematics, Statistics & Physics: Recent submissions

Now showing items 161-180 of 810

    • 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 ...

    • Application of integral equations to simulating local fields in carbon nanotube reinforced composites 

      Nasser, Mohamed M.S.; Kalmoun, El Mostafa ( Elsevier , 2020 , Book chapter)
      We consider the steady heat conduction problem within a thermal isotropic and homogeneous square ring composite reinforced by nonoverlapping and randomly distributed carbon nanotubes (CNTs). We treat the CNTs as rigid line ...

    • The motion of a point vortex in multiply-connected polygonal domains 

      Kalmoun, El Mostafa; Nasser, Mohamed M.S.; Hazaa, Khalifa A. ( Multidisciplinary Digital Publishing Institute (MDPI) , 2020 , Article)
      We study the motion of a single point vortex in simply-and multiply-connected polygonal domains. In the case of multiply-connected domains, the polygonal obstacles can be viewed as the cross-sections of 3D polygonal ...

    • 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 ...

    • Level sets of potential functions bisecting unbounded quadrilaterals 

      Nasser, Mohamed M.S.; Nasyrov, Semen; Vuorinen, Matti ( Springer Nature , 2022 , Article)
      We study the mixed Dirichlet–Neumann problem for the Laplace equation in the complement of a bounded convex polygonal quadrilateral in the extended complex plane. The Dirichlet / Neumann conditions at opposite pairs of ...

    • 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 ...

    • 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 Invariants in Simply Connected Domains 

      Nasser, M.M.S.; Nasser, Mohamed M.S.; Vuorinen, Matti ( Springer Link , 2020 , Article)
      This paper studies the numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmonic measure, and the modulus ...

    • 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 ...

    • 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 ...

    • 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. ...

    • 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 ...

    • Computation of conformal invariants 

      Nasser, Mohamed M.S.; 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 ...

    • A superconducting millimetre switch with multiple nano-bridges 

      Tan, Boon Kok; Yassin, Ghassan; Kuzmin, Leonid; Otto, Ernst; Merabet, Hocine; ... more authors ( International Symposium on Space Terahertz Technology , 2014 , Conference)
      In this paper, we describe the design of a planar superconducting on/off switch comprising a high normal resistance nano-bridge deposited across a slotline transmission line. We present preliminary experimental results ...

    • Ion-impact-induced interatomic Coulombic decay in neon and argon dimers 

      Kim, H. K.; Gassert, H.; Schöffler, M. S.; Titze, J. N.; Waitz, M.; ... more authors ( American Physical Society , 2013 , Article)
      We investigate the contribution of interatomic Coulombic decay induced by ion impact in neon and argon dimers (Ne2 and Ar2) to the production of low-energy electrons. Our experiments cover a broad range of perturbation ...

    • Orientation dependence in multiple ionization of He 2 and Ne 2 induced by fast, highly charged ions: Probing the impact-parameter-dependent ionization probability in 11.37-MeV/u S 14 + collisions with He and Ne 

      Kim, H. K.; Gassert, H.; Titze, J. N.; Waitz, M.; Voigtsberger, J.; ... more authors ( American Physical Society , 2014 , Article)
      We investigate orientation effects in the fragmentation of He2 and Ne2 induced by S14+ projectiles at an impact energy of 11.37 MeV/u. Multiple ionization shows a strong dependence on the orientation of the dimer axis with ...

    • Atomic-scale and optical investigation of nanostructured Er disilicates in silica 

      S., Guehairia; Demoulin, R.; Merabet, H.; Pareige, P.; Cardin, J.; ... more authors ( Elsevier , 2022 , Article)
      The optical and structural properties of Er-doped Silicon oxide based thin films elaborated by RF magnetron sputtering were investigated as a function of annealing treatment. Atom Probe Tomography and Transmission electron ...

    • Ion impact induced ionization/fragmentation dynamics of rare gas Dimers 

      Kim, H. K.; Titze, J.; Schöffler, M.; Trinter, F.; Waitz, M.; ... more authors ( IOP Publishing , 2013 , Conference)
      We have measured the ionization and fragmentation of Helium, Neon and Argon Dimers induced by ion impact and observed two different pathways, the sequential ionization on each atom and the interatomic Cou-lombic decay. © ...

    • Model for oscillations in the guidance of ions through insulating nanocapillaries 

      Pokhil, G.; Merabet, H.; Stolterfoht, N. ( IOP Publishing , 2011 , Conference)
      The pre-equilibrium period of the ion guiding through insulating nanocapillaries is characterized by the production of temporary charge patches inside the capillaries. The dynamics of the charge patch creation is revealed ...

    • Comprehensive investigation of Er2O3 thin films grown with different ALD approaches 

      L., Khomenkova; Merabet, H.; Chauvat, M.-P.; Frilay, C.; Portier, X.; ... more authors ( Elsevier , 2022 , Article)
      The effect of Er precursor nature (Er(CpMe)3 or Er(tmhd)3) and annealing treatment at 500–1100 °C on the structural and optical properties of Er2O3 films grown on Si substrates by thermal or O2-plasma-assisted atomic layer ...