Comparative analysis of inverse coefficient problems for parabolic equations. Part III: Conjugate gradient method and coarse-fine grid algorithm
DOI10.1080/17415977.2011.579607zbMath1253.65142OpenAlexW2068165062MaRDI QIDQ3111150
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/10.1080/17415977.2011.579607
numerical examplesconjugate gradient methodleast-squares formulationcoarse-fine grid algorithmparabolic inverse coefficient problems
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)
Cites Work
- Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
- A gradient descent method for solving an inverse coefficient heat conduction problem
- An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation
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