An approach to differentiation of non-smooth functions obtained during residual stress measurements by layer-removal method

DOI10.1007/s10665-016-9862-xzbMath1471.74080OpenAlexW2405159361MaRDI QIDQ1707653

K. Tolstikhin

Publication date: 3 April 2018

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-016-9862-x

zbMATH Keywords

error estimationTikhonov regularizationill-posed problemregularized finite difference method

Mathematics Subject Classification ID

Finite difference methods applied to problems in solid mechanics (74S20) Stress (74A10) Numerical differentiation (65D25) Numerical and other methods in solid mechanics (74S99)

Uses Software

• Regularization tools
• UTV

Cites Work

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• The Classical Theory of Integral Equations
• Definitions and examples of inverse and ill-posed problems
• Rank-Deficient and Discrete Ill-Posed Problems
• A Mechanical Determination of Biaxial Residual Stress in Sheet Materials

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