On the estimation of the boundary temperature on a sphere from measurements at its center

DOI10.1016/0771-050X(82)90064-XzbMath0479.65061OpenAlexW2045667405MaRDI QIDQ1162133

Diego A. Murio

Publication date: 1982

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0771-050x(82)90064-x

zbMATH Keywords

inverse heat conduction problemradial symmetryestimation of the boundary temperatureinverse kernels

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30)

Related Items (5)

A mollification regularization method with the Dirichlet kernel for two Cauchy problems of three-dimensional Helmholtz equation ⋮ The mollification method based on a modified operator to the ill-posed problem for 3D Helmholtz equation with mixed boundary ⋮ A modified regularization method for a Cauchy problem for heat equation on a two-layer sphere domain ⋮ Convolution regularization method for backward problems of linear parabolic equations ⋮ A mollification method with Dirichlet kernel to solve Cauchy problem for two-dimensional Helmholtz equation

Cites Work

• Calculation of the surface temperature and heat flux on one side of a wall from measurements on the opposite side
• Analysis and solution of the ill-posed inverse heat conduction problem
• The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem
• The Inverse Problem in Transient Heat Conduction
• Least Squares Methods for Ill-Posed Problems with a Prescribed Bound
• On the necessity of nearly-best-possible methods for analytic continuation of scattering data

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