A highly efficient operator-splitting finite element method for 2D/3D nonlinear Allen–Cahn equation

Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen–Cahn model

(2016) Shuying Zhai et al.   APPLIED MATHEMATICAL MODELLING

Investigations on several numerical methods for the non-local Allen–Cahn equation

(2015) Shuying Zhai et al.   INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

Long Time Numerical Simulations for Phase-Field Problems Using $p$-Adaptive Spectral Deferred Correction Methods

(2015) Xinlong Feng et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A hybrid FEM for solving the Allen–Cahn equation

(2014) Jaemin Shin et al.   APPLIED MATHEMATICS AND COMPUTATION

Numerical simulation of the three dimensional Allen–Cahn equation by the high-order compact ADI method

(2014) Shuying Zhai et al.   COMPUTER PHYSICS COMMUNICATIONS

Adaptive dimension splitting algorithm for three-dimensional elliptic equations

(2014) Hongbo Wei et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

An unconditionally stable hybrid numerical method for solving the Allen–Cahn equation

(2010) Yibao Li et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

An unconditionally gradient stable numerical method for solving the Allen–Cahn equation

(2009) Jeong-Whan Choi et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

An efficient algorithm for solving the phase field crystal model

(2008) Mowei Cheng et al.   JOURNAL OF COMPUTATIONAL PHYSICS