Browsing by Author "Nasser, Mohamed"
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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 ... -
Harmonic image inpainting using the charge simulation method
Kalmoun, El Mostafa; Nasser, Mohamed M.S. ( Springer , 2022 , Article)It was recently reported that harmonic inpainting or Laplace interpolation when used in the context of image compression can yield impressive reconstruction results if the encoded pixels were carefully selected. Mathematically, ... -
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 ... -
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 ...