Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Dmitriy Klyuchinskiy"'
Publikováno v:
Mathematics, Vol 10, Iss 7, p 1116 (2022)
A problem of modeling radiation patterns of wave sources in two-dimensional acoustic tomography is considered. Each source has its own radiation patterns, and their modeling will be used to improve the solvability of inverse problems of recovering th
Externí odkaz:
https://doaj.org/article/00d800f8ed86498c8c89f39d84d5536a
Publikováno v:
Mathematics, Vol 9, Iss 2, p 199 (2021)
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
Externí odkaz:
https://doaj.org/article/4c6f66ed6437415e88d0a781831ba558
Publikováno v:
Computation, Vol 8, Iss 3, p 73 (2020)
We investigate the mathematical model of the 2D acoustic waves propagation in a heterogeneous domain. The hyperbolic first order system of partial differential equations is considered and solved by the Godunov method of the first order of approximati
Externí odkaz:
https://doaj.org/article/d08eee5f2b8d439c9254504efeaa8dab
Publikováno v:
Journal of Inverse and Ill-posed Problems. 28:287-297
We investigate the mathematical modeling of the 2D acoustic waves propagation, based on the conservation laws. The hyperbolic first-order system of partial differential equations is considered and solved by the method of S. K. Godunov. The inverse pr
Publikováno v:
Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ISBN: 9783030388690
The capabilities of modern computers and mathematical software are entirely sufficient for the numerical solution of 2D PDEs. Two-dimensional problems naturally arise when the Fourier method is applied to a three-dimensional boundary value problem fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4a1c9ae1e88f244c82f6c58307d522a
https://doi.org/10.1007/978-3-030-38870-6_32
https://doi.org/10.1007/978-3-030-38870-6_32
Publikováno v:
Advances in Computational Mathematics. 45:735-755
The ill-posed continuation problem for the one-dimensional parabolic equation with the data given on the part of the boundary is investigated. We prove the uniqueness theorem about the solution of the continuation problem. The finite-difference schem
Publikováno v:
Journal of Computational Physics. 439:110374
Numerical solution of inverse problem for 2D acoustic system of conservation laws by gradient type method requires storage of O ( N 3 ) elements which is crucial on large grids with O ( N ) points in single dimension. In this article we present an ap
Publikováno v:
Journal of Physics: Conference Series. 1715:012038
In this paper the problem of modeling the acoustic radiation pattern of source is considered. The problem is formulated in the form of control problem for the 2D first-order system of hyperbolic equations. This problem is related to ultrasound tomogr