New approaches to error estimation to ill-posed problems with applications to inverse problems of heat conductivity

DOI10.1515/jiip.2002.10.2.155zbMath1006.65103OpenAlexW2056642356MaRDI QIDQ4542247

Anatoly G. Yagola, K. Yu. Dorofeev, V. N. Titarenko, Natalia N. Nikolaeva

Publication date: 16 February 2003

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2002.10.2.155

zbMATH Keywords

inverse problemsheat conductionerror boundslinear ill-posed problemsconvex programming problemsmethod of cut convex polyhedrons

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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Linear ill-posed problems on sets of convex functions on two-dimensional sets ⋮ Numerical Method for Solving an Inverse Boundary Problem with Unknown Initial Conditions for Parabolic PDE Using Discrete Regularization

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