Zobrazeno 1 - 10
of 63
pro vyhledávání: '"George Pelekanos"'
Publikováno v:
Electronic Research Archive, Vol 32, Iss 7, Pp 4365-4377 (2024)
The recently developed data-driven eigenmatrix method shows very promising reconstruction accuracy in sparse recovery for a wide range of kernel functions and random sample locations. However, its current implementation can lead to numerical instabil
Externí odkaz:
https://doaj.org/article/7bc5b011bae546cda67a21e8170fe490
Publikováno v:
Networks and Heterogeneous Media. 18:601-621
In this paper, we study the well-established quasi-boundary value methods for regularizing inverse state-dependent source problems, where the convergence analysis of three typical cases is presented in the framework of filtering regularization method
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8ccc4817eb6a2f326c760646d31cc15
https://doi.org/10.3934/nhm.2023026
https://doi.org/10.3934/nhm.2023026
Publikováno v:
Journal of Applied Mathematics and Physics. :661-682
In this paper, we consider the numerical treatment of an inverse acoustic scattering problem that involves an impenetrable obstacle embedded in a layered medium. We begin by employing a modified version of the well known factorization method, in whic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca181403234bf14ce6941419ec8ca0e7
https://doi.org/10.4236/jamp.2021.94048
https://doi.org/10.4236/jamp.2021.94048
Publikováno v:
Computational and Applied Mathematics. 40
In this paper, we numerically compare several well-established and recent qualitative algorithms for the shape reconstruction of obstacles in elastic scattering based on the measured noisy full far-field data. The compared algorithms include linear s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1625d51c0ce89a0b2ce7f5450f442da6
https://doi.org/10.1007/s40314-021-01638-9
https://doi.org/10.1007/s40314-021-01638-9
Publikováno v:
Inverse Problems in Science and Engineering. 28:754-776
In this paper, we propose an extended direct factorization method for solving inverse scattering problems with limited aperture data. It assembles and generalizes two recently developed methods: th...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b033be17e18c3f68272385bb091bf808
https://doi.org/10.1080/17415977.2019.1647195
https://doi.org/10.1080/17415977.2019.1647195
Integrated Mathematics Enrichment, Peer Mentoring, Tutoring, and Freshmen Course for Student Success
Publikováno v:
2019 ASEE Annual Conference & Exposition Proceedings.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63ba2c4774807b89d9d2899d9cb1c241
https://doi.org/10.18260/1-2--32979
https://doi.org/10.18260/1-2--32979
Publikováno v:
Inverse Problems in Science and Engineering. 27:299-316
We propose a novel adaptive algorithm, which generates nonuniform sampling points that automatically concentrate near the boundary of an unknown scatterer, to dramatically speed up Kirsch’s factorization method for inverse acoustic scattering probl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08271e8f0f1cebfc86f5e48fccf28056
https://doi.org/10.1080/17415977.2018.1459600
https://doi.org/10.1080/17415977.2018.1459600
Publikováno v:
Linear Algebra and its Applications. 495:289-323
We present a projection based regularization parameter choice approach within the framework of the linear sampling method for the reconstruction of acoustically penetrable objects. Using the Golub–Kahan bidiagonalization algorithm and the Lanczos t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5af8265232ce740e4142f06c87ebc0b
https://doi.org/10.1016/j.laa.2015.12.020
https://doi.org/10.1016/j.laa.2015.12.020
Publikováno v:
2018 International Applied Computational Electromagnetics Society Symposium (ACES).
To drastically speed up Kirsch's factorization method for inverse scattering problems, we propose a novel adaptive algorithm that automatically generates nonuniform sampling points according to the shape of the obstacle. Built upon adaptive quadratur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::388fad5dae1a6a7370eab323d51a9984
https://doi.org/10.23919/ropaces.2018.8364089
https://doi.org/10.23919/ropaces.2018.8364089
Publikováno v:
Journal of Computational and Applied Mathematics. 273:61-75
We present a Tikhonov parameter choice approach for three-dimensional reconstructions based on a maximum product criterion (MPC) which provides a regularization parameter located in the concave part of the L-curve in log-log scale. Our method, baptiz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ffde787bcc93e8e023fcb9fdc94291a
https://doi.org/10.1016/j.cam.2014.06.003
https://doi.org/10.1016/j.cam.2014.06.003