A new iterative procedure for the numerical solution of coefficient inverse problems

DOI10.1016/j.apnum.2004.09.031zbMath1072.65110OpenAlexW2093336376MaRDI QIDQ557949

Michael V. Klibanov, Alexandre Timonov

Publication date: 30 June 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.09.031

zbMATH Keywords

global convergencenumerical examplesCoefficient inverse problemsContractive operatorConvexification approachmagnetotelluric soundingSequential minimization methodStrict convexitySuccessive approximations

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (3)

On a New Approach to Frequency Sounding of Layered Media ⋮ Comparative study of the least squares approximation of the modified Bessel function ⋮ A globally convergent convexification algorithm for multidimensional coefficient inverse problems

Cites Work

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• Global optimization methods for multimodal inverse problems
• A new slant on the inverse problems of electromagnetic frequency sounding: ‘convexification’ of a multiextremal objective function via the Carleman weight functions
• Layer stripping: a direct numerical method for impedance imaging
• Inverse problems and Carleman estimates
• A Convergent Layer Stripping Algorithm for the Radially Symmetric Impedence Tomography Problem
• Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming
• Approximation of unbounded operators by bounded operators and related extremal problems
• A sequential minimization algorithm based on the convexification approach
• A unified framework for constructing globally convergent algorithms for multidimensional coefficient inverse problems

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