Stability analysis of solution methods for a phase transition problem

DOI10.1134/S0012266119070061zbMath1427.80027OpenAlexW2968125863MaRDI QIDQ2010390

A. O. Gusev, O. V. Shcheritsa, Olga S. Mazhorova

Publication date: 27 November 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119070061

zbMATH Keywords

Newton methodphase interfacecrystallization processsolid and liquid phases

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Stability in context of PDEs (35B35) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Direct numerical methods for linear systems and matrix inversion (65F05)

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Cites Work

• Numerical simulation of convection/diffusion phase change problems -- a review
• Conservative scheme for the thermodiffusion Stefan problem
• Numerical solutions of diffusion-controlled moving boundary problems which conserve solute
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