A direct method for solving two-dimensional one-phase Stefan problems

DOI10.1016/0045-7825(81)90068-2zbMath0463.73075OpenAlexW2157616447MaRDI QIDQ1153744

Vitoriano Ruas

Publication date: 1981

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90068-2

zbMATH Keywords

stableconvergenceStefan probleminitial region is a starshaped two-dimensional domain

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications to the sciences (65Z05)

Related Items (4)

Unified approach to simulation on deforming elements with application to phase change problems ⋮ One-dimensional finite element analysis of thermal ablation with pyrolysis ⋮ A conserving discretization for the free boundary in a two-dimensional Stefan problem ⋮ Numerical solution of an etching problem

Cites Work

• Automatic generation of triangular finite element meshes
• Stability and convergence of a finite element method for solving the Stefan problem
• Numerical computation of the free boundary for the two-dimensional Stefan problem by space-time finite elements
• 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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