Identification of parameters in the 2-D IHCP

DOI10.1016/S0898-1221(00)85005-1zbMath0961.65085MaRDI QIDQ1591953

C. W. Coles, Diego A. Murio

Publication date: 14 January 2001

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

zbMATH Keywords

numerical exampleserror boundsmollificationmarching schemeidentification of parametersinverse heat conductive problem

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) 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 (8)

Discrete mollification in Bernstein basis and space marching scheme for numerical solution of an inverse two-phase one-dimensional Stefan problem ⋮ The determination temperature-dependent thermal conductivity as inverse steady heat conduction problem ⋮ Parameter estimation in the 1-D transport equation with advection. ⋮ Numerical identification of a nonlinear diffusion coefficient by discrete mollification ⋮ A Nonlocal Inverse Problem for the Two-Dimensional Heat-Conduction Equation ⋮ An inverse problem for a 2D parabolic equation with nonlocal overdetermination condition ⋮ A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem ⋮ Simultaneous space diffusivity and source term reconstruction in 2D IHCP

Cites Work

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• Identification of parameters in one-dimensional IHCP
• Discrete mollification and automatic numerical differentiation
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Mollified hyperbolic method for coefficient identification problems
• Automatic numerical solution of generalized 2-D IHCP by discrete mollification

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