A posteriori parameter choice strategy for fast multiscale methods solving ill-posed integral equations

DOI10.1007/s10444-011-9229-9zbMath1250.65158OpenAlexW2053362821MaRDI QIDQ421362

Xingjun Luo, Fanchun Li, Suhua Yang

Publication date: 23 May 2012

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-011-9229-9

zbMATH Keywords

inverse problemnumerical experimentsmultiscale methodTikhonov regularizationill-posed problemfast solverparameter choiceFredholm integral equation of the first kindmodified discrepancy principle

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for integral equations (65R32) Linear operators and ill-posed problems, regularization (47A52) Inverse problems for integral equations (45Q05) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (13)

Projected Tikhonov regularization method for Fredholm integral equations of the first kind ⋮ A Discretizing Levenberg-Marquardt Scheme for Solving Nonlinear Ill-Posed Integral Equations ⋮ Multiscale collocation methods for ill-posed integral equations with a modified posteriori parameter selection ⋮ A fast multilevel iteration method for solving linear ill-posed integral equations ⋮ Fast multilevel iteration methods for solving nonlinear ill-posed problems ⋮ On the parameter choice in the multilevel augmentation method ⋮ Heuristic parameter choice rule for solving linear ill-posed integral equations in finite dimensional space ⋮ Recovering the electrical conductivity of the soil via a linear integral model ⋮ A parameter choice strategy for a multilevel augmentation method in iterated Lavrentiev regularization ⋮ Multiscale Galerkin methods for the nonstationary iterated Tikhonov method with a modified posteriori parameter selection ⋮ A fast multiscale Galerkin method for the first kind ill-posed integral equations via iterated regularization ⋮ A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations ⋮ Adaptive multilevel iteration methods for solving ill-posed integral equations via a coupled system

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