The Levenberg-Marquardt method applied to a parameter estimation problem arising from electrical resistivity tomography

Applied Mathematics and Computation

Volumn 217, Issue 9, 2011, Pages 4490-4501

  Kleefeld, A ^a   Reissel M ^b  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

^b Fachhochschule Aachen   (Germany)

Author keywords

Fr chet derivative; Levenberg Marquardt method; Nonlinear and ill posed problem; Parameter estimation problem; Regularization

Indexed keywords

ADJOINTS; DIRICHLET-NEUMANN BOUNDARY CONDITION; ELECTRICAL RESISTIVITY; ELECTRICAL RESISTIVITY TOMOGRAPHY; FORWARD PROBLEM; GRAIN SIZE; ILL POSED; ITERATION STEP; ITERATIVE SCHEMES; LARGE SYSTEM; LEVENBERG-MARQUARDT METHOD; MATRIX; MATRIX VECTOR MULTIPLICATION; NONLINEAR AND ILL-POSED PROBLEM; NUMERICAL RESULTS; REGULARIZATION; SPATIAL SCALE; TIKHONOV REGULARIZATION METHOD; TOMOGRAPHIC INVERSION; TWO-DIMENSION;

BOUNDARY CONDITIONS; CONJUGATE GRADIENT METHOD; ELECTRIC CONDUCTIVITY; INVERSE PROBLEMS; MAXWELL EQUATIONS; METAL ANALYSIS; NONLINEAR ANALYSIS; NUMERICAL METHODS; PARTICLE SIZE ANALYSIS; PROBLEM SOLVING; TOMOGRAPHY;

PARAMETER ESTIMATION;

EID: 78650172087     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.10.052     Document Type: Article

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