A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
Computation of conformal invariants
Tekijät: Nasser Mohamed M.S., Vuorinen Matti
Kustantaja: ELSEVIER SCIENCE INC
Julkaisuvuosi: 2021
Journal: Applied Mathematics and Computation
Tietokannassa oleva lehden nimi: APPLIED MATHEMATICS AND COMPUTATION
Lehden akronyymi: APPL MATH COMPUT
Artikkelin numero: ARTN 125617
Vuosikerta: 389
Sivujen määrä: 24
ISSN: 0096-3003
eISSN: 1873-5649
DOI: https://doi.org/10.1016/j.amc.2020.125617
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/50693395
Tiivistelmä
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.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
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