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
