An Enthalpty Formulation of the Stefan Problem

DOI10.1137/0719082zbMath0501.65058OpenAlexW2089160568MaRDI QIDQ3967033

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Publication date: 1982

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0719082

zbMATH Keywords

diffusionconvergenceweak solutionconvectionheat transferStefan problemRothe's methodGauss-Seidel methodimplicit time discretizationM-matrixenthalpy formulationliquid phase change

Mathematics Subject Classification ID

Heat equation (35K05) Thermodynamics of continua (80A17) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Method of lines for boundary value problems involving PDEs (65N40)

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