The heat flux identification problem for a nonlinear parabolic equation in 2D

DOI10.1016/j.cam.2016.01.041zbMath1348.35327OpenAlexW2329414505MaRDI QIDQ329760

Ege Tamci, Burhan Pektaş

Publication date: 21 October 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.01.041

zbMATH Keywords

nonlinear parabolic equationconjugate gradient methodheat flux identificationlinearization algorithm

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Inverse problems in optimal control (49N45)

Related Items

Numerical solution of the inverse boundary value heat transfer problem for an inhomogeneous rod ⋮ Unnamed Item ⋮ A sequential partial linearization algorithm for the symmetric eigenvalue complementarity problem ⋮ Estimation of heat flux in two-dimensional nonhomogeneous parabolic equation based on a sufficient descent Levenberg-Marquardt algorithm ⋮ An alternating direction method of multipliers for the eigenvalue complementarity problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Identification of an unknown time-dependent heat source term from overspecified Dirichlet boundary data by conjugate gradient method
• Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Simultaneous determination of the source terms in a linear hyperbolic problem from the final overdetermination: weak solution approach