Comparative analysis of inverse coefficient problems for parabolic equations. Part I: adjoint problem approach

DOI10.1080/17415977.2011.579605zbMath1298.65142OpenAlexW2091658542MaRDI QIDQ5894463

Burhan Pektaş, Alemdar Hasanov

Publication date: 18 January 2012

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2011.579605

zbMATH Keywords

monotonicityLipschitz continuityill-posednesscoefficient identificationinput-output mappingsadjoint problem approach

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (1)

Recovery of thermal conductivity in two-dimensional media with nonlinear source by optimizations

Cites Work

• A general optimization method using adjoint equation for solving multidimensional inverse heat conduction
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• Recovery of a variable coefficient in a coastal evolution equation
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• Error Analysis of an Equation Error Method for the Identification of the Diffusion Coefficient in a Quasi-linear Parabolic Differential Equation
• Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient
• Monotonicity and Invertibility of Coefficient-to-Data Mappings for Parabolic Inverse Problems
• An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation

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