Abstract
An approach to solving the problem of determining the thermal conductivity of a substance based on the results of observing the dynamics of the temperature field is proposed. The consideration is based on the Dirichlet boundary value problem for the three-dimensional nonstationary heat equation. The effectiveness of the proposed approach is based on the application of the Fast Automatic Differentiation technique. The required thermal conductivity coefficient is determined as the solution to the formulated optimal control problem.
Award Identifier / Grant number: 075-15-2020-799
Funding statement: This work was supported by the Ministry of Science and Higher Education of the Russian Federation, project no. 075-15-2020-799.
References
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Artikel in diesem Heft
- Frontmatter
- Multichannel impedance inversion in the frequency domain via anisotropic total variation with overlapping group sparsity regularization
- On an iterative fractional Tikhonov–Landweber method for ill-posed problems
- The linear sampling method for penetrable cylinder with inclusions for obliquely incident polarized electromagnetic waves
- Regularization of the backward stochastic heat conduction problem
- An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions
- Inverse scattering for three-dimensional quasi-linear biharmonic operator
- On an inverse boundary value problem for a nonlinear time-harmonic Maxwell system
- A fast multilevel iteration method for solving linear ill-posed integral equations
- Uniqueness and stability analysis of final data inverse source problems for evolution equations
- Inverse coefficient problems and fast automatic differentiation
Artikel in diesem Heft
- Frontmatter
- Multichannel impedance inversion in the frequency domain via anisotropic total variation with overlapping group sparsity regularization
- On an iterative fractional Tikhonov–Landweber method for ill-posed problems
- The linear sampling method for penetrable cylinder with inclusions for obliquely incident polarized electromagnetic waves
- Regularization of the backward stochastic heat conduction problem
- An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions
- Inverse scattering for three-dimensional quasi-linear biharmonic operator
- On an inverse boundary value problem for a nonlinear time-harmonic Maxwell system
- A fast multilevel iteration method for solving linear ill-posed integral equations
- Uniqueness and stability analysis of final data inverse source problems for evolution equations
- Inverse coefficient problems and fast automatic differentiation