Methods of Quantitative Reconstruction for Acoustic Coefficient Inverse Problem

• 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

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