Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data
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Publication:2697343
DOI10.3934/ipi.2021068OpenAlexW3210144006MaRDI QIDQ2697343
Lam Nguyen, Michael V. Klibanov, Thuy T. Le, Loc H. Nguyen, Anders Sullivan
Publication date: 18 April 2023
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.11392
numerical resultsconvexificationexperimental dataCarleman estimatecoefficient inverse problem1D hyperbolic equationglobally convergent numerical method
Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Numerical analysis (65-XX)
Related Items (5)
Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data ⋮ The Carleman contraction mapping method for quasilinear elliptic equations with over-determined boundary data ⋮ Convergence analysis of critical point regularization with non-convex regularizers ⋮ The Carleman convexification method for Hamilton-Jacobi equations ⋮ Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations
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