Identification of thermal conductivity coefficient using a given temperature field

DOI10.1134/S0965542518100032zbMath1412.80002WikidataQ128992799 ScholiaQ128992799MaRDI QIDQ1757729

V. I. Zubov, Alla F. Albu

Publication date: 15 January 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

heat equationinverse problemleast squares methodthermal conductivityfast automatic differentiation

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical differentiation (65D25) Existence theories for optimal control problems involving partial differential equations (49J20) 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)

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Mathematical study of medicine diffusion from swelling chitosan film ⋮ Identification of the thermal conductivity coefficient using a given surface heat flux ⋮ About difference schemes for solving inverse coefficient problems ⋮ On the simultaneous identification of the volumetric heat capacity and the thermal conductivity of a substance ⋮ Application of the fast automatic differentiation technique for solving inverse coefficient problems ⋮ Choice of finite-difference schemes in solving coefficient inverse problems ⋮ Determination of the thermal conductivity from the heat flux on the surface of a three-dimensional body ⋮ Identification of the thermal conductivity coefficient in the three-dimensional case by solving a corresponding optimization problem ⋮ On one approach to the numerical solution of a coefficient inverse problem ⋮ Estimating a pressure dependent thermal conductivity coefficient with applications in food technology

Cites Work

• Unnamed Item
• Application of fast automatic differentiation for solving the inverse coefficient problem for the heat equation
• Generalized fast automatic differentiation technique
• Investigation of the optimal control of metal solidification for a complex-geometry object in a new formulation
• Numerical optimization of solutions to Burgers problem by means of boundary conditions
• On the efficiency of solving optimal control problems by means of fast automatic differentiation technique
• Numerical methods for solving inverse problems of mathematical physics.

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