Efficient numerical methods for phase-field equations

DOI10.1360/SSM-2020-0042zbMath1499.65581MaRDI QIDQ5064203

Tao Tang, ZhongHua Qiao

Publication date: 21 March 2022

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

zbMATH Keywords

energy stabilityadaptive time-steppingphase-field equationmaximum bound principle

Mathematics Subject Classification ID

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) 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)

Related Items (13)

A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation ⋮ A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation ⋮ A modified Crank-Nicolson finite difference method preserving maximum-principle for the phase-field model ⋮ Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation ⋮ Energy stable schemes with second order temporal accuracy and decoupled structure for diffuse interface model of two-phase magnetohydrodynamics ⋮ Numerical analysis of a convex-splitting BDF2 method with variable time-steps for the Cahn-Hilliard model ⋮ Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation ⋮ Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes ⋮ Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation ⋮ On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation ⋮ Novel linear decoupled and unconditionally energy stable numerical methods for the modified phase field crystal model ⋮ On the maximum principle and high-order, delay-free integrators for the viscous Cahn–Hilliard equation ⋮ Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model

This page was built for publication: Efficient numerical methods for phase-field equations