An inverse problem for a system with a moving boundary

DOI10.1007/BF02403443zbMath0887.65101OpenAlexW2066594635MaRDI QIDQ1375644

Vyacheslav I. Maksimov

Publication date: 11 January 1998

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

Full work available at URL: https://doi.org/10.1007/bf02403443

zbMATH Keywords

convergencefinite elementsinverse Stefan problemimproperly posed problems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Free boundary problems for PDEs (35R35) 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)

Cites Work

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• The numerical solution of the inverse Stefan problem
• The inverse one phase Stefan problem
• Approximation of nonlinear evolution systems
• Finite Element Methods for a Class of Nonlinear Evolution Equations
• Estimation of the conductivity in the one-phase Stefan problem : numerical results
• Error Estimates for the Multidimensional Two-Phase Stefan Problem
• Analyse Numerique d’un Probleme de Stefan a Deux Phases Par une Methode d’Elements Finis
• The Stefan Problem in Several Space Variables

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