Augmented Lagrangian approach for a bilateral free boundary problem

Autor:	Youness El Yazidi, Abdellatif Ellabib
Rok vydání:	2021
Předmět:	Parameter identification problem Computational Mathematics Optimization problem Augmented Lagrangian method Applied Mathematics Computation Theory of computation Convergence (routing) Free boundary problem Applied mathematics Numerical stability Mathematics
Zdroj:	Journal of Applied Mathematics and Computing. 67:69-88
ISSN:	1865-2085 1598-5865
DOI:	10.1007/s12190-020-01472-y
Popis:	In this work, a class of bilateral free boundary problem is considered. This identification problem is formulated as a shape optimization problem via the definition of a cost functional. The existence of an optimal solution for the optimization problem is proved. An augmented Lagrangian approach is used to facilitate the computation of the shape derivatives. A numerical approach is proposed to solve iteratively the shape optimization problem, also we prove its convergence. Various type of domains are investigated to confirm the validity of the presented approach. For the numerical stability we investigate the shape without and with noisy data.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e99f25f34b8f57c4b993e9e02ddc4bf5 https://doi.org/10.1007/s12190-020-01472-y Zobrazit plný text záznamu Full text from SpringerLink