Statistics and Probability African Society Editions

Chapter 17. Conformal transformation method for irrigation Dirichlet problem

Fagueye NDIAYE, Babacar Mbaye NDIAYE, Mbissane NDIAYE, Diaraf SECK, and Idrissa LY

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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.

Chapter information

Source
Hamet Seydi, Gane Samb Lo, Aboubakary Diakhaby, eds., A Collection of Papers in Mathematics and Related Sciences, a Festschrift in Honour of the Late Galaye Dia, (Calgary, Alberta, 2018), 295-318

Dates
First available in Project Euclid: 26 September 2019

Permanent link to this document
https://projecteuclid.org/euclid.spaseds/1569509477

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

Subjects
Primary: 65M32: Inverse problems 49Q10: Optimization of shapes other than minimal surfaces [See also 90C90] 47N10: Applications in optimization, convex analysis, mathematical programming, economics 65K10: Optimization and variational techniques [See also 49Mxx, 93B40] 34H05: Control problems [See also 49J15, 49K15, 93C15] 30C20: Conformal mappings of special domains

Keywords
inverse problems conformal mapping shape optimization optimal mass transport conformal mappings

Citation

NDIAYE, Fagueye; NDIAYE, Babacar Mbaye; NDIAYE, Mbissane; SECK, Diaraf; LY, Idrissa. Chapter 17. Conformal transformation method for irrigation Dirichlet problem. A Collection of Papers in Mathematics and Related Sciences, 295--318, Statistics and Probability African Society, Calgary, Alberta, 2018. doi:10.16929/sbs/2018.100-03-05. https://projecteuclid.org/euclid.spaseds/1569509477


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