Linear and unconditionally energy stable schemes for the modified phase field crystal equation

PDEs in connection with fluid mechanics (35Q35) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation
Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
The scalar auxiliary variable (SAV) approach for gradient flows
Novel linear decoupled and unconditionally energy stable numerical methods for the modified phase field crystal model
Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
Efficient linear and unconditionally energy stable schemes for the modified phase field crystal equation
Error analysis of a decoupled, linear stabilization scheme for the Cahn-Hilliard model of two-phase incompressible flows
Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential
Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
First- and second-order energy stable methods for the modified phase field crystal equation
Energy stable and convergent finite element schemes for the modified phase field crystal equation
A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
Energy stability and convergence of SAV block-centered finite difference method for gradient flows
Efficient unconditionally stable numerical schemes for a modified phase field crystal model with a strong nonlinear vacancy potential

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