Quantity of the inverse problem data for the system of conservation laws

D. V. Klyuchinskiy, N. S. Novikov, M. A. Shishlenin

Результат исследования: Научные публикации в периодических изданияхстатья по материалам конференциирецензирование


In this paper we study properties of the model, that describes the plane acoustic waves propagation. The model is based on the hyperboliv system of PDE, which is solved numerically by using the finite-volume method, based on Godunov scheme. After studying the direct problem we turn to the inverse one, where our goal is to recover the parameters of the system of PDE by using the initial data, measured in the receivers. We obtain the formula for the gradient of the misfits functional, which allows us to apply gradient-based optimization for recovering the density of the medium. We present the results of numerical experiments for different number of receivers, thus, studying the influence of the quantity of the data of inverse problem on the accuracy of the solution.

Язык оригиналаанглийский
Номер статьи012020
ЖурналJournal of Physics: Conference Series
Номер выпуска1
СостояниеОпубликовано - 20 дек. 2021
Событие11th International Scientific Conference and Young Scientist School on Theory and Computational Methods for Inverse and Ill-posed Problems - Novosibirsk, Российская Федерация
Продолжительность: 26 авг. 20194 сент. 2019

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