Numerical approximation of the two-component PFC models for binary colloidal crystals: efficient, decoupled, and second-order unconditionally energy stable schemes

DOI10.1007/s10915-021-01564-2zbMath1500.65044OpenAlexW3185639826MaRDI QIDQ2051071

Yanyan Li

Publication date: 1 September 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01564-2

zbMATH Keywords

decouplingunconditional energy stabilitySAV approachbinary colloidal crystalsphase-field crystal model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Statistical mechanics of crystals (82D25) Electromagnetic effects in solid mechanics (74F15) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Crystals in solids (74N05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Initial value problems for higher-order parabolic systems (35K46)

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