Browsing Mathematics, Statistics & Physics by Subject "Boundary integral equations"
Now showing items 1-5 of 5
-
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 ... -
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 ... -
Numerical Computation of the Conformal Map onto Lemniscatic Domains
( Springer , 2016 , Article)We present a numerical method for the computation of the conformal map from unbounded multiply-connected domains onto lemniscatic domains. For ℓ -times connected domains, the method requires solving ℓ boundary integral ... -
Numerical Conformal Mapping onto the Parabolic, Elliptic and Hyperbolic Slit Domains
( Springer , 2018 , Article)This paper presents a numerical method for computing the conformal mappings onto the parabolic slit domain, the elliptic slit domain and the hyperbolic slit domain. The method relies on a boundary integral equation with ... -
Polycircular domains, numerical conformal mappings, and moduli of quadrilaterals
( Springer Nature , 2022 , Article)We study numerical conformal mappings of planar Jordan domains with boundaries consisting of finitely many circular arcs, also called polycircular domains, and compute the moduli of quadrilaterals for these domains. ...