A Globally Convergent Numerical Method for a 3D Coefficient Inverse Problem for a Wave-Like Equation
DOI10.1137/21M1457813MaRDI QIDQ5043374
Michael V. Klibanov, Wenlong Zhang, Jingzhi Li
Publication date: 21 October 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.04242
Numerical optimization and variational techniques (65K10) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
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Cites Work
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- Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs
- Globally strongly convex cost functional for a coefficient inverse problem
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- Carleman estimates for coefficient inverse problems and numerical applications.
- A method of solving the coefficient inverse problems of wave tomography
- Inverse problems and Carleman estimates. Global uniqueness, global convergence and experimental data
- Global Lipschitz stability in an inverse hyperbolic problem by interior observations
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- Iterative methods for solving coefficient inverse problems of wave tomography in models with attenuation
- Convexification for a Three-Dimensional Inverse Scattering Problem with the Moving Point Source
- Newton-Kantorovich method for three-dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy problem with time-dependent data
- Uniform Strict Convexity of a Cost Functional for Three-Dimensional Inverse Scattering Problem
- Global Convexity in a Three-Dimensional Inverse Acoustic Problem
- Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction
- Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
- Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data
- Convergent Algorithm Based on Carleman Estimates for the Recovery of a Potential in the Wave Equation
- Carleman-Based Reconstruction Algorithm for Waves
- Convexification and experimental data for a 3D inverse scattering problem with the moving point source
- Stability for inverse source problems by Carleman estimates
- Convexification for the Inversion of a Time Dependent Wave Front in a Heterogeneous Medium
- The d-bar approach to approximate inverse scattering at fixed energy in three dimensions
- The conjugate gradient method in extremal problems
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