Convexification of restricted Dirichlet-to-Neumann map
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Publication:2406553
DOI10.1515/jiip-2017-0067zbMath1386.35478arXiv1708.01914OpenAlexW3106075130MaRDI QIDQ2406553
Publication date: 5 October 2017
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.01914
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical testing in determination of sound speed from a part of boundary by the BC-method
- 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
- Multidimensional inverse spectral problem for the equation \(-\Delta \psi -(v(x)-Eu(x))\psi =0\)
- Numerical solution of the multidimensional Gelfand-Levitan equation
- Imaging of buried objects from multi-frequency experimental data using a globally convergent inversion method
- Numerical solution of a coefficient inverse problem with multi-frequency experimental raw data by a globally convergent algorithm
- Carleman estimates for coefficient inverse problems and numerical applications.
- Direct methods of solving multidimensional inverse hyperbolic problems.
- Global uniqueness for a two-dimensional inverse boundary value problem
- Energy estimates and numerical verification of the stabilized domain decomposition finite element/Finite difference approach for time-dependent Maxwell's system
- Inverse problems of mathematical physics.
- Globally strictly convex cost functional for an inverse parabolic problem
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- Enhancing residual-based techniques with shape reconstruction features in electrical impedance tomography
- A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy
- The Linearized Inverse Problem in Multifrequency Electrical Impedance Tomography
- Carleman weight functions for solving ill-posed Cauchy problems for quasilinear PDEs
- Reconstruction Procedures for Two Inverse Scattering Problems Without the Phase Information
- A uniqueness theorem for an inverse boundary value problem in electrical prospection
- Global Convexity in a Three-Dimensional Inverse Acoustic Problem
- A convergent adaptive finite element method for electrical impedance tomography
- Point Measurements for a Neumann-to-Dirichlet Map and the Calderón Problem in the Plane
- Monochromatic Reconstruction Algorithms for Two-dimensional Multi-channel Inverse Problems
- Recovering Dielectric Constants of Explosives via a Globally Strictly Convex Cost Functional
- Recent progress in the boundary control method
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