Riemann–Hilbert problem approach for two-dimensional flow inverse scattering

Journal Article · Wed Oct 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4896741· OSTI ID:22305863

Agaltsov, A. D., E-mail: [e-mail] ^[1]; Novikov, R. G., E-mail: [e-mail] ^[2]; IEPT RAS, 117997 Moscow ^[3]; Moscow Institute of Physics and Technology, Dolgoprudny ^[3]

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1. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991 Moscow (Russian Federation)
2. CNRS (UMR 7641), Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau (France)
3. (Russian Federation)

We consider inverse scattering for the time-harmonic wave equation with first-order perturbation in two dimensions. This problem arises in particular in the acoustic tomography of moving fluid. We consider linearized and nonlinearized reconstruction algorithms for this problem of inverse scattering. Our nonlinearized reconstruction algorithm is based on the non-local Riemann–Hilbert problem approach. Comparisons with preceding results are given.

• OSTI ID: 22305863
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 10; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
DISTURBANCES
INVERSE SCATTERING PROBLEM
PERTURBATION THEORY
TOMOGRAPHY
TWO-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS