Methods of Quantitative Reconstruction for Acoustic Coefficient Inverse Problem
Paper i proceeding, 2023
The paper considers an inverse problem of reconstructing the spatially distributed wave speed function in an acoustic wave equation using backscattered data. Three different reconstruction methods are discussed: the method of analytic reconstruction, adaptive finite element inversion method and the adaptive spectral inversion method. We present numerical examples which show the performance of the different inverse algorithms, and compare the reconstructions obtained by those three methods.
Lagrangian approach
Globally convergent method
Adaptive finite element method
Tikhonov functional
Acoustic wave equation
Coefficient inverse problem
Adaptive spectral inversion method
Författare
Larisa Beilina
Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik
Y. G. Gleichmann
Universität Basel
M. J. Grote
Universität Basel
Publicerad i
Springer Proceedings in Mathematics and Statistics
21941009 (ISSN) 21941017 (eISSN)
Vol. 429 s. 167-1989783031358708 (ISBN)
Konferens
Annual workshops for Swedish Alumni Club of Japan Society for the Promotion of Science, JSPS/SAC 2021 and 2022
Virtual, Online, , 2022-03-16 - 2022-03-17
Virtual, Online, , 2022-03-16 - 2022-03-17
Kategorisering
Ämneskategorier (SSIF 2011)
Beräkningsmatematik
Strömningsmekanik och akustik
Identifikatorer
DOI
10.1007/978-3-031-35871-5_9