The numerical solution of one-dimensional phase change problems using an adaptive moving mesh method

DOI10.1006/jcph.2000.6511zbMath0965.65105OpenAlexW2037733619MaRDI QIDQ1578085

N. Delaunay

Publication date: 16 July 2001

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1a200cc8d7a1c8bce78e910df536b28e9bee7809

zbMATH Keywords

performanceNewton's methodnumerical experimentsmoving boundary problemnonlinear heat conductionenthalpy formulationadaptive moving meshmultiphase Stefan problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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