Convergence rates for the reaction coefficient and the initial temperature identification problems
DOI10.1080/00036811.2020.1811975zbMath1494.80006OpenAlexW3080598780MaRDI QIDQ5085510
Publication date: 27 June 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2020.1811975
Numerical optimization and variational techniques (65K10) Smoothness and regularity of solutions to PDEs (35B65) Heat equation (35K05) Nonlinear ill-posed problems (47J06) Optimization problems in thermodynamics and heat transfer (80M50) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Linear operators and ill-posed problems, regularization (47A52) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Numerical solutions to abstract evolution equations (65J08) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Diffusive and convective heat and mass transfer, heat flow (80A19)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Regularization methods in Banach spaces.
- Variational methods in imaging
- Identifying the radiative coefficient of heat conduction equations from discrete measurement data
- A comparison of some inverse methods for estimating the initial condition of the heat equation
- The boundary element method for the solution of the backward heat conduction equation
- Reconstruction of the space-dependent perfusion coefficient from final time or time-average temperature measurements
- Simultaneous reconstruction of the perfusion coefficient and initial temperature from time-average integral temperature measurements
- Uniqueness and stability in determining the heat radiative coefficient, the initial temperature and a boundary coefficient in a parabolic equation
- On the simultaneous recovery of boundary heat transfer coefficient and initial heat status
- Solving an inverse parabolic problem by optimization from final measurement data
- Simultaneous reconstruction of the initial temperature and heat radiative coefficient
- Inverse Problems
- Convergence rates for Tikhonov regularization of coefficient identification problems in Laplace-type equations
- A Well Posed Problem for the Backward Heat Equation
- Inverse parabolic problems with the final overdetermination
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- Tikhonov regularisation for non-linear ill-posed problems: optimal convergence rates and finite-dimensional approximation
- A quasi Tikhonov regularization for a two-dimensional backward heat problem by a fundamental solution
- Regularization of parabolic equations backward in time by a non-local boundary value problem method
- The Determination of a Parabolic Equation from Initial and Final Data
- ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION
- A comparison of regularizations for an ill-posed problem
- A Kernel-based Method for the Approximate Solution of Backward Parabolic Problems
- Numerical identifications of parameters in parabolic systems
- A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
- A procedure for determining a spacewise dependent heat source and the initial temperature
This page was built for publication: Convergence rates for the reaction coefficient and the initial temperature identification problems
