Recovering Density and Speed of Sound Coefficients in the 2D Hyperbolic System of Acoustic Equations of the First Order by a Finite Number of Observations

Autor:	Dmitriy Klyuchinskiy, Nikita Novikov, Maxim Shishlenin
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	acoustics tomography first-order hyperbolic system inverse problem Godunov method gradient descent method Mathematics QA1-939
Zdroj:	Mathematics, Vol 9, Iss 2, p 199 (2021)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math9020199
Popis:	We consider the coefficient inverse problem for the first-order hyperbolic system, which describes the propagation of the 2D acoustic waves in a heterogeneous medium. We recover both the denstity of the medium and the speed of sound by using a finite number of data measurements. We use the second-order MUSCL-Hancock scheme to solve the direct and adjoint problems, and apply optimization scheme to the coefficient inverse problem. The obtained functional is minimized by using the gradient-based approach. We consider different variations of the method in order to obtain the better accuracy and stability of the appoach and present the results of numerical experiments.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4c6f66ed6437415e88d0a781831ba558 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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