A level set method for three dimensional vector Stefan problems: dissolution of stoichiometric particles in multi-component alloys

DOI10.1016/j.jcp.2007.01.038zbMath1125.80002OpenAlexW2000509041MaRDI QIDQ886016

N. E. Zubov

Publication date: 14 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.01.038

zbMATH Keywords

level set methodmulti-component alloycut-cell methodparticle dissolutionvector Stefan problemvelocity extension

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Fixed-point theorems (47H10) High-velocity fracture (74R15)

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Cites Work

• An implicit enthalpy solution for phase change problems: with application to a binary alloy solidification
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• Solution of vector Stefan problems with cross-diffusion
• A PDE-based fast local level set method
• A moving mesh method for the solution of the one-dimensional phase-field equations
• Level set methods and dynamic implicit surfaces
• A front-tracking method for dendritic solidification
• Weighted ENO Schemes for Hamilton--Jacobi Equations
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
• A fast sweeping method for Eikonal equations
• A mathematical model for the dissolution of particlesin multi-component alloys
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