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VOL. 1 | 2018 Chapter 17. Conformal transformation method for irrigation Dirichlet problem
Fagueye NDIAYE, Babacar Mbaye NDIAYE, Mbissane NDIAYE, Diaraf SECK, Idrissa LY

Editor(s) Hamet SEYDI, Gane Samb LO, Aboubakary DIAKHABY

Abstract

In this paper, an identification method of a real connected set $\Sigma \subset \mathbb{R}^2$ is presented in the case of irrigation Dirichlet problem. We use conformal mapping tools in Complex Analysis to approximate the unknown $\Sigma$. Some numerical tests are given as illustrations.

Information

Published: 1 January 2018
First available in Project Euclid: 26 September 2019

Digital Object Identifier: 10.16929/sbs/2018.100-03-05

Subjects:
Primary: 30C20 , 34H05 , 47N10‎ , 49Q10 , 65K10 , 65M32

Keywords: conformal mapping , conformal mappings , Inverse problems , optimal mass transport , shape optimization

Rights: Copyright © 2018 The Statistics and Probability African Society

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