相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity
Zhiguo Yang et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2020)
Stabilized Energy Factorization Approach for Allen-Cahn Equation with Logarithmic Flory-Huggins Potential
Xiuhua Wang et al.
JOURNAL OF SCIENTIFIC COMPUTING (2020)
A NOVEL ENERGY FACTORIZATION APPROACH FOR THE DIFFUSE-INTERFACE MODEL WITH PENG-ROBINSON EQUATION OF STATE
Jisheng Kou et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2020)
Energy stable and mass conservative numerical method for a generalized hydrodynamic phase-field model with different densities
Jisheng Kou et al.
PHYSICS OF FLUIDS (2020)
An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
Kelong Cheng et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2019)
Numerical Approximation of a Phase-Field Surfactant Model with Fluid Flow
Guangpu Zhu et al.
JOURNAL OF SCIENTIFIC COMPUTING (2019)
Efficient energy-stable schemes for the hydrodynamics coupled phase-field model
Guangpu Zhu et al.
APPLIED MATHEMATICAL MODELLING (2019)
On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential
Xiaofeng Yang et al.
COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2019)
MAXIMUM PRINCIPLE PRESERVING EXPONENTIAL TIME DIFFERENCING SCHEMES FOR THE NONLOCAL ALLEN-CAHN EQUATION
Qiang Du et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2019)
Unconditionally Energy Stable Linear Schemes for the Diffuse Interface Model with Peng-Robinson Equation of State
Hongwei Li et al.
JOURNAL OF SCIENTIFIC COMPUTING (2018)
Thermodynamically consistent modeling and simulation of multi-component two-phase flow with partial miscibility
Jisheng Kou et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2018)
Entropy stable modeling of non-isothermal multi-component diffuse-interface two-phase flows with realistic equations of state
Jisheng Kou et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2018)
Decoupled, energy stable schemes for a phase-field surfactant model
Guangpu Zhu et al.
COMPUTER PHYSICS COMMUNICATIONS (2018)
A stable algorithm for calculating phase equilibria with capillarity at specified moles, volume and temperature using a dynamic model
Jisheng Kou et al.
FLUID PHASE EQUILIBRIA (2018)
The scalar auxiliary variable (SAV) approach for gradient flows
Jie Shen et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
Thermodynamically consistent simulation of nonisothermal diffuse-interface two-phase flow with Peng-Robinson equation of state
Jisheng Kou et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
CONVERGENCE AND ERROR ANALYSIS FOR THE SCALAR AUXILIARY VARIABLE (SAV) SCHEMES TO GRADIENT FLOWS
Jie Shen et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2018)
LINEARLY DECOUPLED ENERGY-STABLE NUMERICAL METHODS FOR MULTICOMPONENT TWO-PHASE COMPRESSIBLE FLOW
Jisheng Kou et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2018)
Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
Jia Zhao et al.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2017)
A SECOND-ORDER CONVEX SPLITTING SCHEME FOR A CAHN-HILLIARD EQUATION WITH VARIABLE INTERFACIAL PARAMETERS
Xiao Li et al.
JOURNAL OF COMPUTATIONAL MATHEMATICS (2017)
Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
Xiaofeng Yang et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2017)
A COMPONENTWISE CONVEX SPLITTING SCHEME FOR DIFFUSE INTERFACE MODELS WITH VAN DER WAALS AND PENG ROBINSON EQUATIONS OF STATE
Xiaolin Fan et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2017)
A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State
Qiujin Peng
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS (2017)
Computationally efficient adaptive time step method for the Cahn-Hilliard equation
Yibao Li et al.
COMPUTERS & MATHEMATICS WITH APPLICATIONS (2017)
Numerical Approximations for Alen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines
Lina Ma et al.
COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2017)
Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
Xiaofeng Yang et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2017)
MPLICIT-EXPLICIT SCHEME FOR THE ALLEN-CAHN EQUATION PRESERVES THE MAXIMUM PRINCIPLE
Tao Tang et al.
JOURNAL OF COMPUTATIONAL MATHEMATICS (2016)
A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids
Jia Zhao et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
Isogeometric analysis of the Cahn-Hilliard equation - a convergence study
Markus Kaestner et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
Ying Chen et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
Efficient energy stable numerical schemes for a phase field moving contact line model
Jie Shen et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2015)
Decoupled energy stable schemes for phase-field vesicle membrane model
Rui Chen et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2015)
A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
Daozhi Han et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2015)
DECOUPLED, ENERGY STABLE SCHEMES FOR PHASE-FIELD MODELS OF TWO-PHASE INCOMPRESSIBLE FLOWS
Jie Shen et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2015)
NUMERICAL METHODS FOR A MULTICOMPONENT TWO-PHASE INTERFACE MODEL WITH GEOMETRIC MEAN INFLUENCE PARAMETERS
Jisheng Kou et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2015)
Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density
Chun Liu et al.
JOURNAL OF SCIENTIFIC COMPUTING (2015)
NONLINEAR STABILITY OF THE IMPLICIT-EXPLICIT METHODS FOR THE ALLEN-CAHN EQUATION
Xinlong Feng et al.
INVERSE PROBLEMS AND IMAGING (2013)
On linear schemes for a Cahn-Hilliard diffuse interface model
F. Guillen-Gonzalez et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2013)
CONVERGENCE ANALYSIS OF A SECOND ORDER CONVEX SPLITTING SCHEME FOR THE MODIFIED PHASE FIELD CRYSTAL EQUATION
A. Baskaran et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2013)
Phase-Field Models for Multi-Component Fluid Flows
Junseok Kim
COMMUNICATIONS IN COMPUTATIONAL PHYSICS (2012)
SECOND-ORDER CONVEX SPLITTING SCHEMES FOR GRADIENT FLOWS WITH EHRLICH-SCHWOEBEL TYPE ENERGY: APPLICATION TO THIN FILM EPITAXY
Jie Shen et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2012)
NUMERICAL SCHEMES FOR A THREE COMPONENT CAHN-HILLIARD MODEL
Franck Boyer et al.
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2011)
Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models
Hector Gomez et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2011)
Computationally efficient solution to the Cahn-Hilliard equation: Adaptive implicit time schemes, mesh sensitivity analysis and the 3D isoperimetric problem
Olga Wodo et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2011)
NUMERICAL APPROXIMATIONS OF ALLEN-CAHN AND CAHN-HILLIARD EQUATIONS
Jie Shen et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2010)
A nonconforming finite element method for the Cahn-Hilliard equation
Shuo Zhang et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2010)
Unconditionally Stable Finite Difference, Nonlinear Multigrid Simulation of the Cahn-Hilliard-Hele-Shaw System of Equations
S. M. Wise
JOURNAL OF SCIENTIFIC COMPUTING (2010)
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
Z. Hu et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2009)
AN ENERGY-STABLE AND CONVERGENT FINITE-DIFFERENCE SCHEME FOR THE PHASE FIELD CRYSTAL EQUATION
S. M. Wise et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2009)
DISCONTINUOUS GALERKIN FINITE ELEMENT APPROXIMATION OF THE CAHN-HILLIARD EQUATION WITH CONVECTION
David Kay et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2009)
Isogeometric analysis of the Cahn-Hilliard phase-field model
Hector Gomez et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2008)
Finite difference approximate solutions for the Cahn-Hilliard equation
N. Khiari et al.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2007)
A discontinuous Galerkin method for the Cahn-Hilliard equation
Garth N. Wells et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2006)
Stability analysis of large time-stepping methods for epitaxial growth models
Chuanju Xu et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2006)
Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
XB Feng et al.
NUMERISCHE MATHEMATIK (2003)
A stable and conservative finite difference scheme for the Cahn-Hilliard equation
D Furihata
NUMERISCHE MATHEMATIK (2001)
分享论文
