Numerical identification of source terms for a two dimensional heat conduction problem in polar coordinate system

DOI10.1016/j.apm.2012.03.024zbMath1351.80021OpenAlexW2052142553MaRDI QIDQ350400

Zui-Cha Deng, Guan-Wei Luo, Liu Yang, Jian-Ning Yu

Publication date: 7 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.apm.2012.03.024

zbMATH Keywords

numerical resultsinverse problemsingularityheat sourceLandweber iteration

Mathematics Subject Classification ID

Related Items (11)

Simultaneous determination of the space-dependent source and the initial distribution in a heat equation by regularizing Fourier coefficients of the given measurements ⋮ A quasi-boundary value regularization method for determining the heat source ⋮ Numerical identification of initial temperatures in heat equation with dynamic boundary conditions ⋮ Fast matrix exponential-based quasi-boundary value methods for inverse space-dependent source problems ⋮ A mollification regularization method for a fractional-diffusion inverse heat conduction problem ⋮ On the second order implicit difference schemes for a right hand side identification problem ⋮ Simultaneous identification of parameters and initial datum of reaction diffusion system by optimization method ⋮ Simultaneous reconstruction of the perfusion coefficient and initial temperature from time-average integral temperature measurements ⋮ Numerical Study of Inverse Source Problem for Internal Degenerate Parabolic Equation ⋮ 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

Cites Work

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• The method of fundamental solutions for the inverse heat source problem
• Inverse problem of time-dependent heat sources numerical reconstruction
• Application of the method of fundamental solutions and radial basis functions for inverse transient heat source problem
• An inverse problem of finding a parameter in a semi-linear heat equation
• An inverse problem of identifying the coefficient of parabolic equation
• Application of the variational iteration method to inverse heat source problems
• Source term identification for an axisymmetric inverse heat conduction problem
• Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements
• A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature
• Optimization method for the inverse problem of reconstructing the source term in a parabolic equation
• An inverse problem of finding a source parameter in a semilinear parabolic equation
• Source term identification in 1-D IHCP
• Determination of a control function in three-dimensional parabolic equations
• Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
• Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation
• Determination of a spacewise dependent heat source
• A fundamental solution method for inverse heat conduction problem
• Two regularization strategies for an evolutional type inverse heat source problem
• A variational method for identifying a spacewise-dependent heat source
• Optimization method for an evolutional type inverse heat conduction problem
• A procedure for determining a spacewise dependent heat source and the initial temperature
• Determination of an Unknown Heat Source from Overspecified Boundary Data
• An Iteration Formula for Fredholm Integral Equations of the First Kind
• Inverse problems for partial differential equations
• Determination of a control parameter in the two-dimensional diffusion equation

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