Numerical experiments in 2-D IHCP on bounded domains. I: The ``interior cube problem

DOI10.1016/0898-1221(95)00180-7zbMath0848.65091OpenAlexW2012730908MaRDI QIDQ1913428

Y. Liu, Diego A. Murio

Publication date: 7 October 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00180-7

zbMATH Keywords

numerical experimentsfinite difference schemeinverse heat conduction problemmollification algorithmtwo-dimensional IHCP

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Applications to the sciences (65Z05) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (5)

A one-dimensional inverse problem in composite materials: regularization and error estimates ⋮ Two-dimensional inverse heat conduction problem in a quarter plane: integral approach ⋮ An optimal modified method for a two-dimensional inverse heat conduction problem ⋮ Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain ⋮ Numerical solution of a 2D inverse heat conduction problem

Cites Work

• Unnamed Item
• A mollified space-marching finite-different algorithm for the two-dimensional inverse heat conduction problem with slab symmetry
• AN ANALYSIS OF TWO-DIMENSIONAL LINEAR INVERSE HEAT TRANSFER PROBLEMS USING AN INTEGRAL METHOD
• Inverse heat-conduction problem by finite-element formulation

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