Numerical Validation of Optimization Approach for Solution of Coefficient Inverse Problem in Pseudo-Frequency Domain
Paper in proceeding, 2023
We present a Lagrangian approach for the solution to an acoustic coefficient inverse problem. Given data in the pseudo-frequency domain, after the Laplace transform, we minimize a time-independent Tikhonov functional using the Lagrangian method. We study also the dependence of the reconstruction on the regularization terms in the Tikhonov functional.
Acoustic wave equation
Lagrangian approach
Coefficient inverse problem
Reconstruction
Laplace transform
Tikhonov functional
Pseudo-frequency domain
Author
Andrei Karzhou
University of Tromsø – The Arctic University of Norway
Irina Pettersson
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Larisa Beilina
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
K. Pettersson
Springer Proceedings in Mathematics and Statistics
21941009 (ISSN) 21941017 (eISSN)
Vol. 429 199-2139783031358708 (ISBN)
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Subject Categories
Computational Mathematics
DOI
10.1007/978-3-031-35871-5_10