An efficient space-time operator-splitting method for high-dimensional vector-valued Allen–Cahn equations

The scalar auxiliary variable (SAV) approach for gradient flows

(2018) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A novel characteristic variational multiscale FEM for incompressible natural convection problem with variable density

(2018) Weilong Wang et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

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

(2017) Xufeng Xiao et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

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

(2016) Shuying Zhai et al.   APPLIED MATHEMATICAL MODELLING

Analysis of a new stabilized finite volume element method based on multiscale enrichment for the Navier-Stokes problem

(2016) Juan Wen et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

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

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

High-order compact operator splitting method for three-dimensional fractional equation with subdiffusion

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

The Spectral Collocation Method for the Stochastic Allen-Cahn Equation via Generalized Polynomial Chaos

(2015) Ning Li et al.   NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS

A second order operator splitting method for Allen–Cahn type equations with nonlinear source terms

(2015) Hyun Geun Lee et al.   PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

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

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

(2014) Shuying Zhai et al.   COMPUTER PHYSICS COMMUNICATIONS

Some new computational methods for the Allen‐Cahn equation with non‐periodic boundary conditions arising in computational fluid dynamics

(2013) Yasir Khan et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Analysis of a local discontinuous Galerkin method for time‐fractional advection‐diffusion equations

(2013) Leilei Wei et al.   INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW

Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation

(2013) Jiang Yang et al.   Inverse Problems and Imaging

Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models

(2013) Xinlong Feng et al.   East Asian Journal on Applied Mathematics

An efficient and accurate numerical algorithm for the vector-valued Allen–Cahn equations

(2012) Hyun Geun Lee et al.   COMPUTER PHYSICS COMMUNICATIONS

A new approach to multi-phase formulation for the solidification of alloys

(2012) P.C. Bollada et al.   PHYSICA D-NONLINEAR PHENOMENA

First-order system least squares and the energetic variational approach for two-phase flow

(2011) J.H. Adler et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

(2010) Jie Shen et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

A Wavelet-Laplace Variational Technique for Image Deconvolution and Inpainting

(2008) J.A. Dobrosotskaya et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

An efficient algorithm for solving the phase field crystal model

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