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, Maxim A. Shishlenin, Nikita S. Novikov |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
General Mathematics
010103 numerical & computational mathematics tomography 01 natural sciences Stability (probability) Godunov method speed of sound reconstruction Speed of sound Computer Science (miscellaneous) 0101 mathematics acoustics Engineering (miscellaneous) Finite set gradient descent method Mathematics lcsh:Mathematics Mathematical analysis Godunov's scheme Order (ring theory) Acoustic wave Inverse problem lcsh:QA1-939 density reconstruction 010101 applied mathematics first-order hyperbolic system inverse problem Gradient descent |
| Zdroj: | Mathematics, Vol 9, Iss 199, p 199 (2021) Mathematics Volume 9 Issue 2 |
| ISSN: | 2227-7390 |
| 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: | OpenAIRE |
| Externí odkaz: |
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