Comparative studies of the globally convergent convexification algorithm with application to imaging of antipersonnel land mines

DOI10.1080/00036810701609869zbMath1131.65086OpenAlexW2065414770MaRDI QIDQ5441016

Jianguo Xin, Michael V. Klibanov

Publication date: 7 February 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701609869

zbMATH Keywords

global convergencenumerical resultsleast squares minimizationtailssteepest descent methodcoefficient inverse problemssecond order hyperbolic equationconvexification algorithmdetection and imaging of land mines

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order hyperbolic equations (35L15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (1)

On a hyperbolic coefficient inverse problem via partial dynamic boundary measurements

Uses Software

• KELLEY

Cites Work

• Numerical Solution of a Subsurface Imaging Inverse Problem
• Numerical studies on the globally convergent convexification algorithm in 2D
• Uniform Strict Convexity of a Cost Functional for Three-Dimensional Inverse Scattering Problem
• A sequential minimization algorithm based on the convexification approach
• A unified framework for constructing globally convergent algorithms for multidimensional coefficient inverse problems
• Inverse problems for a perturbed dissipative half-space

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