38 citations · 157 across the 26 of their papers we have counts for
6 papers · 1 filter
Conformal capacity and polycircular domains
Harri Hakula, Mohamed M. S. Nasser, Matti Vuorinen
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 co…
Computing the logarithmic capacity of compact sets having (infinitely) many components with the Charge Simulation Method
Jörg Liesen, Mohamed M. S. Nasser, Olivier Sète
We apply the Charge Simulation Method (CSM) in order to compute the logarithmic capacity of compact sets consisting of (infinitely) many "small" components. This application allows…
Simulating local fields in carbon nanotube reinforced composites for infinite strip with voids
Mohamed Nasser, El Mostafa Kalmoun, Vladimir Mityushev +1
We consider the steady heat conduction problem within a thermal isotropic and homogeneous infinite strip composite reinforced by uniformly and randomly distributed non-overlapping…
Condenser capacity and hyperbolic perimeter
Mohamed M. S. Nasser, Oona Rainio, Matti Vuorinen
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…
Fast and accurate computation of the logarithmic capacity of compact sets
Jörg Liesen, Olivier Sète, Mohamed M. S. Nasser
We present a numerical method for computing the logarithmic capacity of compact subsets of , which are bounded by Jordan curves and have finitely connected complement.…
Fast solution of boundary integral equations with the generalized Neumann kernel
Mohamed M. S. Nasser
A fast method for solving boundary integral equations with the generalized Neumann kernel and the adjoint generalized Neumann kernel is presented. The method is based on discretizi…