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Methods of Quantita...
Methods of Quantitative Reconstruction for Acoustic Coefficient Inverse Problem
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- Beilina, Larisa, 1970 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, Tillämpad matematik och statistik,Department of Mathematical Sciences, Applied Mathematics and Statistics
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- Gleichmann, Y. G. (författare)
- Universität Basel,University of Basel
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- Grote, M. J. (författare)
- Universität Basel,University of Basel
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(creator_code:org_t)
- 2023
- 2023
- Engelska.
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Ingår i: Springer Proceedings in Mathematics and Statistics. - 2194-1017 .- 2194-1009. - 9783031358708 ; 429, s. 167-198
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Strömningsmekanik och akustik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Fluid Mechanics and Acoustics (hsv//eng)
Nyckelord
- Lagrangian approach
- Globally convergent method
- Adaptive finite element method
- Tikhonov functional
- Acoustic wave equation
- Coefficient inverse problem
- Adaptive spectral inversion method
- Acoustic wave equation
- Adaptive finite element method
- Adaptive spectral inversion method
- Coefficient inverse problem
- Globally convergent method
- Lagrangian approach
- Tikhonov functional
Publikations- och innehållstyp
- kon (ämneskategori)
- ref (ämneskategori)
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