Inverse heat conduction problems in three-dimensional anisotropic functionally graded solids

DOI10.1007/s10665-011-9517-xzbMath1259.80011OpenAlexW2028412704MaRDI QIDQ695561

Jan Sladek, Pihua H. Wen, Benny Y. C. Hon, Vladimir Sládek

Publication date: 21 December 2012

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

Full work available at URL: https://doi.org/10.1007/s10665-011-9517-x

zbMATH Keywords

interpolationmoving least squaressingular-value decompositionmeshless methodHeaviside step functionbackward finite-difference methodlocal weak form

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (4)

A meshless collocation method for solving the inverse Cauchy problem associated with the variable-order fractional heat conduction model under functionally graded materials ⋮ On preconditioned BiCGSTAB solver for MLPG method applied to heat conduction in 3D complex geometry ⋮ Homogenization function method for time-fractional inverse heat conduction problem in 3D functionally graded materials ⋮ A homogenization function method for inverse heat source problems in 3D functionally graded materials

Uses Software

• Regularization tools
• UTV

Cites Work

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