Optimal methods for ill-posed problems. With applications to heat conduction

DOI10.1515/9783110577211zbMath1391.65001OpenAlexW3157281010MaRDI QIDQ1704614

Anna I. Sidikova, Vitalii P. Tanana

Publication date: 12 March 2018

Published in: Inverse and Ill-Posed Problems Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110577211

zbMATH Keywords

boundary value problemsTikhonov regularizationill-posed problemsLavrent'ev methodfirst kind operator equationsinverse heat exchangeprojection-regularization method

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical optimization and variational techniques (65K10) Applications to the sciences (65Z05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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On reducing the inverse boundary value problem to the synthesis of two ill-posed problems and their solution ⋮ Solution of the inverse boundary value problem of heat transfer for an inhomogeneous ball

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