Numerical study of stability of an algorithm for identifying the thermal conductivity in the three-dimensional case
DOI10.1007/S10958-022-06152-9OpenAlexW4308072629MaRDI QIDQ6187995
Alla F. Albu, Yuri G. Evtushenko, V. I. Zubov
Publication date: 1 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-022-06152-9
Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in optimal control (49N45) Diffusive and convective heat and mass transfer, heat flow (80A19) PDE constrained optimization (numerical aspects) (49M41)
Cites Work
- Numerical methods for solving the coefficient inverse problem
- 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
- Numerical methods for solving inverse problems of mathematical physics.
- Computation of exact gradients in distributed dynamic systems
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