Efficient and Energy Stable Scheme for an Anisotropic Phase-field Dendritic Crystal Growth Model Using the Scalar Auxiliary Variable (SAV) Approach

DOI10.4208/JMS.V53N2.20.05zbMath1463.65329OpenAlexW3022443114MaRDI QIDQ5127798

Xiao-Feng Yang

Publication date: 27 October 2020

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jms.v53n2.20.05

zbMATH Keywords

anisotropycrystal growth modelphase-fieldAllen-Cahn-type equationstabilized-SAV method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Integro-partial differential equations (35R09)

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