38 citations · 157 across the 26 of their papers we have counts for
19 papers · 1 filter
Fast computation of analytic capacity
Mohamed M S Nasser, Christopher C. Green, Matti Vuorinen
A boundary integral equation method is presented for fast computation of the analytic capacities of compact sets in the complex plane. The method is based on using the Kerzman--Ste…
Towards computing the harmonic-measure distribution function for the middle-thirds Cantor set
Christopher C. Green, Mohamed M. S. Nasser
This paper is concerned with the numerical computation of the harmonic-measure distribution function, or -function for short, associated with a particular planar domain. This fu…
Mobile disks in hyperbolic space and minimization of conformal capacity
Harri Hakula, Mohamed M. S. Nasser, Matti Vuorinen
Our focus is to study constellations of disjoint disks in the hyperbolic space, the unit disk equipped with the hyperbolic metric. Each constellation corresponds to a set which…
Level sets of potential functions bisecting unbounded quadrilaterals
Mohamed M. S. Nasser, Semen Nasyrov, Matti Vuorinen
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\,/\…
Numerical computation of a preimage domain for an infinite strip with rectilinear slits
El Mostafa Kalmoun, Mohamed M. S. Nasser, Matti Vuorinen
Let be the multiply connected domain in the extended complex plane $\overline{\C}$ obtained by removing non-overlapping rectilinear segments from the infinite strip $S=\{z\…
Circular arc polygons, numerical conformal mappings, and moduli of quadrilaterals
Mohamed Nasser, Oona Rainio, Antti Rasila +4
We study numerical conformal mappings of planar Jordan domains with boundaries consisting of finitely many circular arcs and compute the moduli of quadrilaterals for these domains.…
The Riemann-Hilbert problem and the generalized Neumann kernel on unbounded multiply connected regions
Mohamed M. S. Nasser
A Fredholm integral equation of the second kind with the generalized Neumann kernel associated with the Riemann-Hilbert problem on unbounded multiply connected regions will be deri…
Isoperimetric properties of condenser capacity
Mohamed M. S. Nasser, Matti Vuorinen
For compact subsets of the unit disk we study the capacity of the condenser by means of set functionals defined in terms of hyperbolic…
Conformal Invariants in Simply Connected Domains
Mohamed M S Nasser, Matti Vuorinen
We study numerical computation of several conformal invariants of simply connected domains in the complex plane including, the hyperbolic distance, the reduced modulus, the harmoni…
PlgCirMap: A MATLAB toolbox for computing conformal mappings from polygonal multiply connected domains onto circular domains
Mohamed M. S. Nasser
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.…
Numerical computation of the capacity of generalized condensers
Mohamed M S Nasser, Matti Vuorinen
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 g…
Computation of conformal invariants
Mohamed M S Nasser, Matti Vuorinen
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.…
Numerical computation of Mityuk's function and radius for circular-radial slit domains
El Mostafa Kalmoun, Mohamed M S Nasser, Matti Vuorinen
We consider Mityuk's function and radius which have been proposed in \cite{Mit} as generalizations of the reduced modulus and conformal radius to the cases of multiply connected do…
A fast numerical method for ideal fluid flow in domains with multiple stirrers
Mohamed M. S. Nasser, Christopher C. Green
A collection of arbitrarily-shaped solid objects, each moving at a constant speed, can be used to mix or stir ideal fluid, and can give rise to interesting flow patterns. Assuming…
A boundary integral method for the general conjugation problem in multiply connected circle domains
Mohamed M S Nasser
We present a boundary integral method for solving a certain class of Riemann-Hilbert problems known as the general conjugation problem. The method is based on a uniquely solvable b…
Numerical computation of the conformal map onto lemniscatic domains
Mohamed M. S. Nasser, Jörg Liesen, Olivier Sète
We present a numerical method for the computation of the conformal map from unbounded multiply-connected domains onto lemniscatic domains. For -times connected domains the me…
Fast computation of the circular map
Mohamed M. S. Nasser
This paper presents a new numerical implementation of Koebe's iterative method for computing the circular map of bounded and unbounded multiply connected regions of connectivity $m…
A boundary integral equation with the generalized Neumann kernel for the Ahlfors map
Mohamed M. S. Nasser, Ali H. M. Murid
This paper presents a uniquely solvable boundary integral equation with the generalized Neumann kernel for the Ahlfors map of bounded multiply connected regions.
Numerical conformal mapping via a boundary integral equation with the adjoint generalized Neumann kernel
Mohamed M. S. Nasser, Ali H. M. Murid, Ali W. K. Sangawi
This paper presents a new uniquely solvable boundary integral equation for computing the conformal mapping, its derivative and its inverse from bounded multiply connected regions o…