Simultaneous determination of spatially varying thermal conductivity and specific heat using boundary temperature measurements

DOI10.1080/17415977.2019.1578352zbMath1466.80007OpenAlexW2916509230MaRDI QIDQ4990768

George S. Dulikravich, Sohail R. Reddy

Publication date: 31 May 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2019.1578352

zbMATH Keywords

inverse problemsparameter identificationminimizationnon-destructive testing

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Approximation methods and heuristics in mathematical programming (90C59) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Inverse problems for PDEs (35R30) Optimization problems in thermodynamics and heat transfer (80M50) Inverse problems in thermodynamics and heat transfer (80A23) Diffusive and convective heat and mass transfer, heat flow (80A19) Radiative heat transfer (80A21)

Related Items (4)

Identification of the air gap thermal resistance in the model of binary alloy solidification including the macrosegregation and the material shrinkage phenomena ⋮ Identification of the timewise thermal conductivity in a 2D heat equation from local heat flux conditions ⋮ A reduced-order modelling for real-time identification of damages in multi-layered composite materials ⋮ Some new results for geometric inverse problems with the method of fundamental solutions

Uses Software

• Matlab
• COMSOL
• modeFrontier
• MVF

Cites Work

• Inverse determination of spatially varying material coefficients in solid objects
• An inverse problem in estimating simultaneously the effective thermal conductivity and volumetric heat capacity of biological tissue
• Simultaneous estimation of spatially dependent diffusion coefficient and source term in a nonlinear 1D diffusion problem
• Identification of Parameters in Distributed Parameter Systems by Regularization
• Identifiability of Spatially-Varying and Constant Parameters in Distributed Systems of Parabolic Type
• On the distribution of points in a cube and the approximate evaluation of integrals
• Estimation of spatially varying parameters in partial differential equations†
• Unnamed Item

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