A globally convergent convexification algorithm for multidimensional coefficient inverse problems

DOI10.1515/JIIP.2007.009zbMath1131.65083OpenAlexW2001087484MaRDI QIDQ5427265

Alexandre Timonov, Michael V. Klibanov

Publication date: 19 November 2007

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2007.009

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Cites Work

• A new iterative procedure for the numerical solution of coefficient inverse problems
• Global uniqueness for a two-dimensional inverse boundary value problem
• Inverse problems and Carleman estimates
• Dynamical variant of the BC-method: theory and numerical testing
• Boundary control in reconstruction of manifolds and metrics (the BC method)
• Approximation of unbounded operators by bounded operators and related extremal problems
• An implementation of the reconstruction algorithm of A Nachman for the 2D inverse conductivity problem
• A unified framework for constructing globally convergent algorithms for multidimensional coefficient inverse problems
• A survey on sampling and probe methods for inverse problems
• Microwave imaging via space-time beamforming for early detection of breast cancer
• The d-bar approach to approximate inverse scattering at fixed energy in three dimensions

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