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

      Mohamed M.S., Nasser; 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 ...
    • 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, ...
    • 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 ...