Solution of the time discretized Stefan problem by Newton's method

DOI10.1016/0362-546X(90)90025-CzbMath0709.65107OpenAlexW1973874614MaRDI QIDQ3493151

Jim Rulla, Carl. T. Kelley

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90025-c

zbMATH Keywords

global convergenceNewton's methodnumerical exampleslocal convergencetime discretized Stefan problem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

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• Mathematical formulation of the Stefan problem
• Some properties of the nonlinear semigroup for the problem ut − Δf(u) = 0
• On the Finite Element Approximation of an Elliptic Variational Inequality Arising from an Implicit Time Discretization of the Stefan Problem
• Multidimensional Stefan Problems

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