Identification of source terms in 2-D IHCP

DOI10.1016/j.camwa.2004.06.004zbMath1155.65376OpenAlexW2034055175MaRDI QIDQ1767868

Xianqiang Yang

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.06.004

zbMATH Keywords

finite differencesparabolic equationsdiscrete mollificationidentification of source termsspace marching schemestwo-dimensional inverse heat conduction problem IHCP

Mathematics Subject Classification ID

Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Linear operators and ill-posed problems, regularization (47A52) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (25)

A meshless method for reconstructing the heat source and partial initial temperature in heat conduction ⋮ Identifying an unknown source term in radial heat conduction ⋮ A quasi-boundary value regularization method for determining the heat source ⋮ The method of simplified Tikhonov regularization for dealing with the inverse time-dependent heat source problem ⋮ A simplified Tikhonov regularization method for determining the heat source ⋮ Two fractional regularization methods for identifying the radiogenic source of the helium production-diffusion equation ⋮ Inverse source identification by the modified regularization method on Poisson equation ⋮ A mollification regularization method for identifying the time-dependent heat source problem ⋮ The method of central difference for the inverse time-dependent heat source problem ⋮ A Tikhonov-type regularization method for identifying the unknown source in the modified Helmholtz equation ⋮ Numerical identification of a nonlinear diffusion coefficient by discrete mollification ⋮ The truncation method for identifying the heat source dependent on a spatial variable ⋮ Source identification problems for radially symmetric and axis-symmetric heat conduction equations ⋮ A new numerical method for the inverse source problem from a Bayesian perspective ⋮ Unnamed Item ⋮ Application of the method of fundamental solutions and radial basis functions for inverse transient heat source problem ⋮ Source term identification in 1-D IHCP ⋮ Two regularization methods to identify time-dependent heat source through an internal measurement of temperature ⋮ Source term identification for an axisymmetric inverse heat conduction problem ⋮ The general \textit{a posteriori} truncation method and its application to radiogenic source identification for the helium production-diffusion equation ⋮ The revised generalized Tikhonov regularization for the inverse time-dependent heat source problem ⋮ A meshless method for solving an inverse spacewise-dependent heat source problem ⋮ A two dimensional discrete mollification operator and the numerical solution of an inverse source problem ⋮ The determination of heat sources in two dimensional inverse steady heat problems by means of the method of fundamental solutions ⋮ Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain

Cites Work

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• Discrete mollification and automatic numerical differentiation
• An inverse problem for an unknown source in a heat equation
• Mollified hyperbolic method for coefficient identification problems
• Simultaneous space diffusivity and source term reconstruction in 2D IHCP
• Source term identification in 1-D IHCP
• Determination of the source term in the heat conduction equation

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