OPTIMAL ERROR BOUND AND A GENERALIZED TIKHONOV REGULARIZATION METHOD FOR IDENTIFYING AN UNKNOWN SOURCE IN THE POISSON EQUATION

DOI10.1142/S0219691314500040zbMath1280.65048MaRDI QIDQ2874059

Ailin Qian, Jian-feng Mao

Publication date: 28 January 2014

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

inverse problemserror estimateill-posed problemsgeneralized Tikhonov regularization

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (1)

A modified quasi-reversibility method for inverse source problem of Poisson equation

Cites Work

• Source identification for the heat equation
• Determination of the unknown sources in the heat-conduction equation
• Conditional stability in determination of force terms of heat equations in a rectangle
• Source term identification in 1-D IHCP
• Residual-minimization least-squares method for inverse heat conduction
• Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation
• Determination of a spacewise dependent heat source
• The boundary-element method for the determination of a heat source dependent on one variable
• Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term
• Structural identification of an unknown source term in a heat equation
• The source identification problem in electromagnetic theory
• Identification of planar cracks by complete overdetermined data: inversion formulae
• A variational method for identifying a spacewise-dependent heat source
• Identification of source locations in two-dimensional heat equations
• An inverse problem for the heat equation

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