Numerical solution of a multidimensional two-phase stefan problem

DOI10.1080/01630568508816204zbMath0622.65128OpenAlexW2080865239MaRDI QIDQ3759901

Irena Pawłow, Y. Shindo, Yoshiyuki Sakawa

Publication date: 1985

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568508816204

zbMATH Keywords

numerical examplevariable coefficientsvariational inequality formulationfinite difference in timemultidimensional two-phase Stefan problempiecewise linear finite elements in space

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Heat equation (35K05) 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) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

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Cites Work

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• A variational inequality approach to generalized two-phase Stefan problem in several space variables
• Numerical methods for a two-phase Stefan problem by variational inequalities
• Transformation of dependent variables and the finite element solution of nonlinear evolution equations
• 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
• Analyse Numerique d’un Probleme de Stefan a Deux Phases Par une Methode d’Elements Finis
• Multidimensional Stefan Problems

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