Journal of Inverse and Ill-Posed Problems · 2011 · 10 citations · 18 references
Natural SciencesPhysicsComputational MechanicsComputational PhysicsScientific ComputingConvergence AnalysisInverse ProblemsNumerical AlgorithmsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsComputational Inverse ProblemsConvergenceConvergence Rate AnalysisInverse Problem SolvingInverse Problem TheoryInverse Problems In Potential TheoryNonlinear Convergence AnalysisNumerical Modelling
Abstract We prove logarithmic convergence rate of the Levenberg–Marquardt method in a Hilbert space if a logarithmic source condition is satisfied. This method is applied to an inverse potential problem. Numerical implementations demonstrate the convergence rate.
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