Simultaneous identification and reconstruction of the space-dependent reaction coefficient and source term
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Publication:2066942
DOI10.1515/jiip-2020-0025zbMath1481.35395OpenAlexW3099662450MaRDI QIDQ2066942
Publication date: 17 January 2022
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2020-0025
Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
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- Numerical methods for parameter identification in stationary radiative transfer
- Space-dependent perfusion coefficient identification in the transient bio-heat equation
- Multiple time-dependent coefficient identification thermal problems with a free boundary
- Two inverse problems of finding a coefficient in a parabolic equation
- Identifying the radiative coefficient of heat conduction equations from discrete measurement data
- Reconstruction of the space-dependent perfusion coefficient from final time or time-average temperature measurements
- Identification of a spacewise dependent heat source
- Simultaneous reconstruction of the spatially-distributed reaction coefficient, initial temperature and heat source from temperature measurements at different times
- The inverse problem of simultaneous determination of the two lower space-dependent coefficients in a parabolic equation
- Simultaneous reconstruction of the perfusion coefficient and initial temperature from time-average integral temperature measurements
- A nonlinear loaded parabolic equation and a related inverse problem
- On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition
- Determination of a spacewise dependent heat source
- Solving an inverse parabolic problem by optimization from final measurement data
- Simultaneous reconstruction of the initial temperature and heat radiative coefficient
- Inverse parabolic problems with the final overdetermination
- On uniqueness in diffuse optical tomography
- The Determination of a Parabolic Equation from Initial and Final Data
- ON CERTAIN INVERSE PROBLEMS FOR PARABOLIC EQUATIONS WITH FINAL AND INTEGRAL OBSERVATION
- An inverse problem with an unknown coefficient and right-hand side for a parabolic equation. II
- On solvability of an inverse problem with an unknown coefficient and right-hand side for a parabolic equation
- Convergence properties of the Fletcher-Reeves method
- Function minimization by conjugate gradients
- A procedure for determining a spacewise dependent heat source and the initial temperature
- A numerical method for backward parabolic problems with non-selfadjoint elliptic operators