A linear regularization method for a parameter identification problem in heat equation

DOI10.1515/jiip-2019-0080zbMath1473.35655OpenAlexW3006208405MaRDI QIDQ1987128

M. Thamban Nair, Subhankar Mondal

Publication date: 9 April 2020

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-2019-0080

zbMATH Keywords

identification of the diffusion coefficientTikhonov type regularization

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (1)

On Regularization of a Source Identification Problem in a Parabolic PDE and its Finite Dimensional Analysis

Cites Work

• Semidiscrete approximations of optimal Robin boundary control problems constrained by semilinear parabolic PDE
• An introduction to partial differential equations
• A linear regularization method for a nonlinear parameter identification problem
• A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations
• Numerical identification of a Robin coefficient in parabolic problems
• Natural linearization for the identification of a diffusion coefficient in a quasi-linear parabolic system from short-time observations
• A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
• On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems
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