Identification of an unknown source depending on both time and space variables by a variational method

DOI10.1016/j.apm.2011.12.046zbMath1252.65106OpenAlexW1967394916MaRDI QIDQ693663

Yuan-Xiang Zhang, Yun-Jie Ma, Chu-Li Fu

Publication date: 7 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.apm.2011.12.046

zbMATH Keywords

inverse problemconjugate gradient methodvariational methodheat source

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Inverse problems in optimal control (49N45)

Related Items (21)

Inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain ⋮ Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation ⋮ A posteriori truncated regularization method for identifying unknown heat source on a spherical symmetric domain ⋮ A regularized optimization method for identifying the space-dependent source and the initial value simultaneously in a parabolic equation ⋮ A meshless method for solving 1D time-dependent heat source problem ⋮ An \textit{a posteriori} Fourier regularization method for identifying the unknown source of the space-fractional diffusion equation ⋮ A quasi-boundary value regularization method for determining the heat source ⋮ Simultaneous determination of the space-dependent source and initial value for a two-dimensional heat conduction equation ⋮ A mollification regularization method for identifying the time-dependent heat source problem ⋮ PinT Preconditioner for Forward-Backward Evolutionary Equations ⋮ Fast matrix exponential-based quasi-boundary value methods for inverse space-dependent source problems ⋮ A Tikhonov-type regularization method for identifying the unknown source in the modified Helmholtz equation ⋮ A mollification regularization method for the inverse spatial-dependent heat source problem ⋮ A quasi-boundary value regularization method for identifying an unknown source in the Poisson equation ⋮ The revised generalized Tikhonov regularization for the inverse time-dependent heat source problem ⋮ Identification of a spacewise dependent heat source ⋮ Cauchy problem of non-homogenous stochastic heat equation and application to inverse random source problem ⋮ An iterative method for an inverse source problem of time-fractional diffusion equation ⋮ Simultaneous determination of time-varying strength and location of a heating source in a three-dimensional domain ⋮ Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain ⋮ A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems

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