The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem

DOI10.1137/0902003zbMath0471.65076OpenAlexW1986100146MaRDI QIDQ3925121

Diego A. Murio

Publication date: 1981

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0902003

zbMATH Keywords

least-squaresintegral equation methodill-posed problemmollification methodheat transfer conduction

Mathematics Subject Classification ID

Heat equation (35K05) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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An integral solution for the inverse heat conduction problem after the method of Weber ⋮ Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problem ⋮ Noise reconstruction for the inversion heat conduction problem ⋮ Combined mollification - future temperatures procedure for solution of inverse heat conduction problem ⋮ The mollification method and the numerical solution of the inverse heat conduction problem by finite differences ⋮ A mollified space marching finite differences algorithm for the inverse heat conduction problem with slab symmetry ⋮ A stable space marching finite differences algorithm for the inverse heat conduction problem with no initial filtering procedure ⋮ On the estimation of the boundary temperature on a sphere from measurements at its center ⋮ Multilevel algorithms for ill-posed problems ⋮ Stability estimates and regularization for an inverse heat conduction prolem in semi - infinite and finite time intervals

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