Condenser capacity and hyperbolic perimeter
<p dir="ltr">We study the conformal capacity by using novel computational algorithms based on implementations of the fast multipole method, and analytic techniques. Especially, we apply domain functionals to study the capacities of condensers (,) where is a simply connected domain in...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | , |
| منشور في: |
2022
|
| الموضوعات: | |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| الملخص: | <p dir="ltr">We study the conformal capacity by using novel computational algorithms based on implementations of the fast multipole method, and analytic techniques. Especially, we apply domain functionals to study the capacities of condensers (,) where is a simply connected domain in the complex plane and is a compact subset of . Due to conformal invariance, our main tools are the hyperbolic geometry and functionals such as the hyperbolic perimeter of . Our computational experiments demonstrate, for instance, sharpness of established inequalities. In the case of model problems with known analytic solutions, very high precision of computation is observed.</p><h2>Other Information</h2><p dir="ltr">Published in: Computers & Mathematics with Applications<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1016/j.camwa.2021.11.016" target="_blank">https://dx.doi.org/10.1016/j.camwa.2021.11.016</a></p> |
|---|