Solution of inverse heat conduction problems with phase changes by the mollification method

DOI10.1016/0898-1221(92)90153-9zbMath0772.65090OpenAlexW2090522447MaRDI QIDQ1205914

Diego A. Murio

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0898-1221(92)90153-9

zbMATH Keywords

solidificationStefan problemnonlinearill-posed probleminverse heat conduction probleminverse Stefan problemmollification methodfront-tracking, space marching, finite difference proceduremelting problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Inverse problems in thermodynamics and heat transfer (80A23) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (8)

A meshless method for an inverse two-phase one-dimensional linear Stefan problem ⋮ Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using heat polynomials methods ⋮ The method of fundamental solutions for free surface Stefan problems ⋮ A method of fundamental solutions for the one-dimensional inverse Stefan problem ⋮ Application of meshfree methods for solving the inverse one-dimensional Stefan problem ⋮ A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem ⋮ Numerical approximation of the one-dimensional inverse Cauchy–Stefan problem using a method of fundamental solutions ⋮ Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: a phase-wise approach

Cites Work

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• A mollified space marching finite differences algorithm for the inverse heat conduction problem with slab symmetry
• The mollification method and the numerical solution of the inverse heat conduction problem by finite differences
• The inverse Stefan problem as a problem of nonlinear approximation theory
• The numerical solution of the inverse Stefan problem

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