Matching pursuit for imaging high-contrast conductivity

DOI10.1088/0266-5611/15/4/301zbMath0948.78012OpenAlexW1981700179MaRDI QIDQ4719075

James G. Berryman, Liliana Borcea, George S. Papanicolaou

Publication date: 23 November 2000

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f7e3a70f1a1b0ac5335682d9a426d2bbb8ff148d

zbMATH Keywords

parameter identificationTikhonov regularizationhigh-contrast conductivitymatching pursuitimpedance tomographyGauss-Newton iterationsHansen's \(L\)-curve method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General topics in optics and electromagnetic theory (78A99) Numerical methods for partial differential equations, boundary value problems (65N99)

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Nonoverlapping domain decomposition method with preconditioner from asymptotic analysis of steady flow in high contrast media ⋮ Fictitious fluid approach and anomalous blow-up of the dissipation rate in a two-dimensional model of concentrated suspensions ⋮ Convergence of solutions for a network approximation of the two-dimensional Laplace equation in a domain with a system of absolutely conducting disks ⋮ Asymptotic Approximation of the Dirichlet to Neumann Map of High Contrast Conductive Media

Uses Software

• PLTMG
• Regularization tools