Regularity of the boundary data and the convergence of the finite element discretization in two-phase Stefan problems

DOI10.1016/0020-7225(84)90018-1zbMath0547.65086OpenAlexW2050262293MaRDI QIDQ799088

N. E. Zubov

Publication date: 1984

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(84)90018-1

zbMATH Keywords

convergencenumerical resultsfinite elementcontrol of free boundariesmultidimensional Stefan problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Thermodynamics of continua (80A17) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Cites Work

• Analysis and optimization of systems. Proceedings of the Fifth International Conference on Analysis and Optimization of Systems, Versailles, December 14-17, 1982. (INRIA)
• A variational inequality approach to generalized two-phase Stefan problem in several space variables
• On the Finite Element Approximation of an Elliptic Variational Inequality Arising from an Implicit Time Discretization of the Stefan Problem
• An Enthalpty Formulation of the Stefan Problem
• A Numerical Solution of the Enthalpy Formulation of the Stefan Problem
• 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
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