Identifying an unknown source in the Poisson equation by the method of Tikhonov regularization in Hilbert scales

DOI10.1016/j.apm.2014.03.021zbMath1428.35684OpenAlexW2003279405MaRDI QIDQ1634018

Ou Xie, Lei You, Ze-Hong Meng, Zhen-Yu Zhao

Publication date: 17 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.03.021

zbMATH Keywords

Poisson equationdiscrepancy principleill-posed problemunknown sourceTikhonov regularization method in Hilbert scales

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (7)

Boundary condition limitation in an inverse source problem and its overcoming ⋮ A modified quasi-reversibility method for inverse source problem of Poisson equation ⋮ A Tikhonov regularization parameter approach for solving Lagrange constrained optimization problems ⋮ An $L^\infty$ Regularization Strategy to the Inverse Source Identification Problem for Elliptic Equations ⋮ Hermite spectral method for solving inverse heat source problems in multiple dimensions ⋮ On the inverse source identification problem in \(L^{\infty}\) for fully nonlinear elliptic PDE ⋮ Identifying an Unknown Source in the Poisson Equation with a Super Order Regularization Method

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