Reconstruction Algorithms of an Inverse Coefficient Identification Problem for the Schrodinger Equation

Autor:	Ji-Chuan Liu
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	coefficient identification Levenberg-Marquardt algorithm Trust-Region-Reflective optimization algorithm ill-posed problem Schrodinger equation Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 22, Iss 3 (2017)
Druh dokumentu:	article
ISSN:	13926292 1392-6292 1648-3510
DOI:	10.3846/13926292.2017.1312580
Popis:	In this paper, we consider an inverse problem of coefficient identification for the Schrodinger equation from the observation data on the exterior boundary. Our aim is to detect the number, the location, the size and the shape of the coefficient with piecewise constant within a body. This problem is nonlinear and ill-posed, thus we should apply stable and elegant reconstruction algorithms in order to improve the corresponding approximation. We give several examples to show the viability of our proposed methods.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/add04b4fd3c04aa5acf4876a5e38868f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF