A stable algorithm for 3D-IHCP

DOI10.1016/0898-1221(94)00251-FzbMath0821.65083OpenAlexW2094326927MaRDI QIDQ1842813

Diego A. Murio, H. C. Zheng

Publication date: 8 October 1995

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

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00251-f

zbMATH Keywords

stabilitynumerical exampleerror analysisill-posed probleminverse heat conduction problemexplicit finite difference schememollification procedure

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications to the sciences (65Z05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (2)

3D-IHCP on a finite cube ⋮ Regularization methods for a Cauchy problem for a parabolic equation in multiple dimensions

Cites Work

• Unnamed Item
• Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problem
• 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
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems

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