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AuthorMohamed M.S., Nasser
AuthorVuorinen, Matti
Available date2024-03-12T10:22:41Z
Publication Date2020-09-01
Publication NameApplied Mathematics and Computation
Identifierhttp://dx.doi.org/10.1016/j.amc.2020.125617
CitationNasser, M. M., & Vuorinen, M. (2021). Computation of conformal invariants. Applied Mathematics and Computation, 389, 125617.
ISSN0096-3003
URIhttps://www.sciencedirect.com/science/article/pii/S0096300320305713
URIhttp://hdl.handle.net/10576/52960
AbstractWe 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 of geometries: domains are assumed to have smooth or piecewise smooth boundaries. The method we use is based on the boundary integral equation method developed and implemented in [1]. A characteristic feature of this method is that, with small changes in the code, a wide spectrum of problems can be treated. We compare the performance and accuracy to previous results in the cases when numerical data is available and also in the case of several model problems where exact results are available.
Languageen
PublisherElsevier
SubjectConformal capacity
Hyperbolic capacity
Elliptic capacity
Boundary integral equations
Numerical conformal mapping
TitleComputation of conformal invariants
TypeArticle
Volume Number389
Open Access user License http://creativecommons.org/licenses/by/4.0/
ESSN1873-5649
dc.accessType Abstract Only


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