A1 Refereed original research article in a scientific journal
Computation of conformal invariants
Authors: Nasser Mohamed M.S., Vuorinen Matti
Publisher: ELSEVIER SCIENCE INC
Publication year: 2021
Journal: Applied Mathematics and Computation
Journal name in source: APPLIED MATHEMATICS AND COMPUTATION
Journal acronym: APPL MATH COMPUT
Article number: ARTN 125617
Volume: 389
Number of pages: 24
ISSN: 0096-3003
eISSN: 1873-5649
DOI: https://doi.org/10.1016/j.amc.2020.125617
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/50693395
Abstract
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 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. (C) 2020 Elsevier Inc. All rights reserved.
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 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. (C) 2020 Elsevier Inc. All rights reserved.
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