Numerical solution of some inverse nonstationary thermal conduction problems using pseudoinverses

DOI10.1007/s10559-012-9449-0zbMath1291.65295OpenAlexW2056507546MaRDI QIDQ2452736

V. S. Deineka, Ivan V. Sergienko

Publication date: 5 June 2014

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-012-9449-0

zbMATH Keywords

heat equationpseudoinversesinverse linear diffusion problemsnormal pseudosolutions

Mathematics Subject Classification ID

Heat equation (35K05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (3)

Numerical systems analysis of multicomponent distributed systems ⋮ Parameter identification of certain problems of filtration-consolidation of moisture-saturated microporous media ⋮ A meshless method of solving three-dimensional nonstationary heat conduction problems in anisotropic materials

Cites Work

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• Numerical systems analysis of multicomponent distributed systems
• Optimal control of distributed systems with conjugation conditions. Edited by Naum Z. Shor
• Solving combined inverse problems for multicomponent parabolic distributed systems
• Optimal control of an elliptic-parabolic system with conjugation conditions
• Weighted pseudoinverses and weighted normal pseudosolutions with singular weights
• Expansions and polynomial limit representations of weighted pseudoinverses
• The stability of algorithms for the solution of degenerate systems of linear algebraic equations

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