Ritz-least squares method for finding a control parameter in a one-dimensional parabolic inverse problem

DOI10.1515/jaa-2016-0018zbMath1354.65184OpenAlexW2553276151MaRDI QIDQ350344

Meisam Noei Khorshidi, Sohrab Ali Yousefi

Publication date: 7 December 2016

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2016-0018

zbMATH Keywords

convergenceinverse problemparabolic partial differential equationsnumerical examplesdiffusion equationRitz methodleast squares approximationsatisfier functionsource control parameter

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)

Related Items (3)

Haar wavelet method for two-dimensional parabolic inverse problem with a control parameter ⋮ Comparative work for the source identification in parabolic inverse problem based on Taylor and Chebyshev wavelet methods ⋮ A homogenization method to solve inverse Cauchy–Stefan problems for recovering non-smooth moving boundary, heat flux and initial value

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