A one-phase multi-dimensional Stefan problem by the method of variational inequalities

DOI10.1002/nme.1620140807zbMath0441.65087OpenAlexW2147684918MaRDI QIDQ3883422

Yasuaki Ichikawa, Noboru Kikuchi

Publication date: 1979

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620140807

zbMATH Keywords

finite elementsvariational inequalityfree boundary value problemone-phase Stefan problemfreezing of soilsfreezing-indexprojectional S.O.R. method

Mathematics Subject Classification ID

Variational inequalities (49J40) Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05)

Related Items (7)

The variational inequality approach to the one-phase Stefan problem ⋮ Theory of variational inequalities with applications to problems of flow through porous media ⋮ Algorithm for the numerical solution of the Stefan problem and its application to calculations of the temperature of tungsten under impulse action ⋮ Convergence of a penalty-finite element approximation for an obstacle problem ⋮ A variational inequality approach to generalized two-phase Stefan problem in several space variables ⋮ SHORT COMMUNICATION A PHASE‐CHANGE TEMPERATURE‐BASED FORMULATION INCLUDING GENERAL LATENT HEAT EFFECTS ⋮ A fixed grid finite element method for nonlinear diffusion problems with moving boundaries

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