Browsing by Author "Mohamed M.S., Nasser"
Now showing items 1-6 of 6
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Application of integral equations to simulating local fields in carbon nanotube reinforced composites
( 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 ... -
Computation of conformal invariants
( 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 ... -
Condenser capacity and hyperbolic diameter
( 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 ... -
Isoperimetric properties of condenser capacity
( 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 ... -
Numerical computation of the capacity of generalized condensers
( 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 ... -
PlgCirMap: A MATLAB toolbox for computing conformal mappings from polygonal multiply connected domains onto circular domains
( 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 ...