Methods of Quantitative Reconstruction for Acoustic Coefficient Inverse Problem
Paper in 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
Author
Larisa Beilina
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Y. G. Gleichmann
University of Basel
M. J. Grote
University of Basel
Springer Proceedings in Mathematics and Statistics
21941009 (ISSN) 21941017 (eISSN)
Vol. 429 167-1989783031358708 (ISBN)
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Subject Categories
Computational Mathematics
Fluid Mechanics and Acoustics
DOI
10.1007/978-3-031-35871-5_9