A posteriori error estimates for approximate solutions of irregular operator equations

DOI10.1134/S1064562411020190zbMath1252.65096MaRDI QIDQ656283

Anatoly B. Bakushinsky

Publication date: 17 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Banach spacea posteriori error estimatesnonlinear operator equationirregular operator equations

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Nonlinear evolution equations (47J35)

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Locally extra-optimal regularizing algorithms and a posteriori estimates of the accuracy for ill-posed problems with discontinuous solutions ⋮ Solution of the inverse elastography problem for parametric classes of inclusions with a posteriori error estimate ⋮ An adaptive finite element method for Fredholm integral equations of the first kind and its verification on experimental data ⋮ A posteriori error estimates for numerical solutions to inverse problems of elastography ⋮ Extra-optimal methods for solving ill-posed problems: survey of theory and examples ⋮ Solution of the three-dimensional inverse elastography problem for parametric classes of inclusions ⋮ A new algorithm for a posteriori error estimation for approximate solutions of linear ill-posed problems ⋮ Methods for solving ill-posed extremum problems with optimal and extra-optimal properties ⋮ Piecewise uniform regularization for the inverse problem of microtomography with a-posteriori error estimate

Cites Work

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