An unconditionally energy stable method for the anisotropic phase-field crystal model in two dimension
DOI10.1007/s10915-024-02543-zMaRDI QIDQ6569675
Yingying Xie, Qi Li, Liquan Mei
Publication date: 9 July 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
mass conservationLagrange multiplier methodanisotropic phase-field crystal modelunconditional energy dissipation
Numerical mathematical programming methods (65K05) Numerical computation of solutions to systems of equations (65H10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods based on nonlinear programming (49M37) Crystalline structure (74E15) Statistical mechanics of crystals (82D25) 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) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Crystals in solids (74N05) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) PDEs in connection with statistical mechanics (35Q82) Computational density functional analysis in statistical mechanics (82M36)
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