Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method. - Xiaofeng Yang 003; James J. Feng; Chun Liu 009; Jie Shen 001 (J. Comput. Phys., 2006)

Analytic relations for reconstructing piecewise linear interfaces in triangular and tetrahedral grids. - Xiaofeng Yang 003; Ashley J. James (J. Comput. Phys., 2006)

An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids. - Xiaofeng Yang 003; Ashley J. James; John S. Lowengrub; Xiaoming Zheng; Vittorio Cristini (J. Comput. Phys., 2006)

Dimensional Robustness and Instability of Sheared, Semidilute, Nanorod Dispersions. - Xiaofeng Yang 003; Zhenlu Cui; M. Gregory Forest; Qi Wang 021; Jie Shen 001 (Multiscale Model. Simul., 2008)

Error analysis of fully discrete velocity-correction methods for incompressible flows. - Jean-Luc Guermond; Jie Shen 001; Xiaofeng Yang 003 (Math. Comput., 2008)

An efficient moving mesh spectral method for the phase-field model of two-phase flows. - Jie Shen 001; Xiaofeng Yang 003 (J. Comput. Phys., 2009)

A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities. - Jie Shen 001; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2010)

Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. - Xiaofeng Yang 003; M. Gregory Forest; Huiyuan Li; Chun Liu 009; Jie Shen 001; Qi Wang 021; Falai Chen (J. Comput. Phys., 2013)

Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids. - Jie Shen 001; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2014)

Decoupled energy stable schemes for phase-field vesicle membrane model. - Rui Chen 004; Guanghua Ji; Xiaofeng Yang 003; Hui Zhang 021 (J. Comput. Phys., 2015)

Efficient energy stable numerical schemes for a phase field moving contact line model. - Jie Shen 001; Xiaofeng Yang 003; Haijun Yu (J. Comput. Phys., 2015)

Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density. - Chun Liu 009; Jie Shen 001; Xiaofeng Yang 003 (J. Sci. Comput., 2015)

Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows. - Jie Shen 001; Xiaofeng Yang 003 (SIAM J. Numer. Anal., 2015)

Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends. - Xiaofeng Yang 003 (J. Comput. Phys., 2016)

A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids. - Jia Zhao 004; Xiaofeng Yang 003; Jie Shen 001; Qi Wang 021 (J. Comput. Phys., 2016)

Modeling the Excess Cell Surface Stored in a Complex Morphology of Bleb-Like Protrusions. - Maryna Kapustina; Denis Tsygankov; Jia Zhao 004; Timothy Wessler; Xiaofeng Yang 003; Alex Chen; Nathan Roach; Timothy C. Elston; Qi Wang 021; Ken Jacobson; M. Gregory Forest (PLoS Comput. Biol., 2016)

Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals. - Jia Zhao 004; Xiaofeng Yang 003; Jun Li 073; Qi Wang 021 (SIAM J. Sci. Comput., 2016)

Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model. - Qing Cheng 003; Xiaofeng Yang 003; Jie Shen 001 (J. Comput. Phys., 2017)

Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model. - Xiaofeng Yang 003; Daozhi Han (J. Comput. Phys., 2017)

Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method. - Xiaofeng Yang 003; Jia Zhao 004; Qi Wang 021 (J. Comput. Phys., 2017)

Numerical approximations for a phase-field moving contact line model with variable densities and viscosities. - Haijun Yu; Xiaofeng Yang 003 (J. Comput. Phys., 2017)

Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows. - Daozhi Han; Alex Brylev; Xiaofeng Yang 003; Zhijun Tan (J. Sci. Comput., 2017)

Decoupled Energy Stable Schemes for a Phase Field Model of Three-Phase Incompressible Viscous Fluid Flow. - Jia Zhao 004; Huiyuan Li; Qi Wang 021; Xiaofeng Yang 003 (J. Sci. Comput., 2017)

Second Order, Linear, and Unconditionally Energy Stable Schemes for a Hydrodynamic Model of Smectic-A Liquid Crystals. - Rui Chen 004; Xiaofeng Yang 003; Hui Zhang 021 (SIAM J. Sci. Comput., 2017)

Modeling and an immersed finite element method for an interface wave equation. - Jinwei Bai; Yong Cao; Xiaoming He; Hongyan Liu 001; Xiaofeng Yang 003 (Comput. Math. Appl., 2018)

Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method. - Xiaofeng Yang 003; Jia Zhao 004; Xiaoming He (J. Comput. Appl. Math., 2018)

Numerical Approximations for the Cahn-Hilliard Phase Field Model of the Binary Fluid-Surfactant System. - Xiaofeng Yang 003 (J. Sci. Comput., 2018)

Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn-Hilliard-Navier-Stokes-Darcy Phase Field Model. - Yali Gao; Xiaoming He; Liquan Mei; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2018)

Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach. - Xiaofeng Yang 003; Haijun Yu (SIAM J. Sci. Comput., 2018)

Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation. - Qi Li 009; Liquan Mei; Xiaofeng Yang 003; Yibao Li (Adv. Comput. Math., 2019)

A novel decoupled and stable scheme for an anisotropic phase-field dendritic crystal growth model. - Jun Zhang 047; Chuanjun Chen; Xiaofeng Yang 003 (Appl. Math. Lett., 2019)

Efficient and linear schemes for anisotropic Cahn-Hilliard model using the Stabilized-Invariant Energy Quadratization (S-IEQ) approach. - Zhen Xu 013; Xiaofeng Yang 003; Hui Zhang 021; Ziqing Xie (Comput. Phys. Commun., 2019)

Efficient linear schemes for the nonlocal Cahn-Hilliard equation of phase field models. - Xiaofeng Yang 003; Jia Zhao 004 (Comput. Phys. Commun., 2019)

Numerical approximations for a new L2-gradient flow based Phase field crystal model with precise nonlocal mass conservation. - Jun Zhang 047; Xiaofeng Yang 003 (Comput. Phys. Commun., 2019)

Efficient second order unconditionally stable time marching numerical scheme for a modified phase-field crystal model with a strong nonlinear vacancy potential. - Jun Zhang 047; Xiaofeng Yang 003 (Comput. Phys. Commun., 2019)

Efficient numerical scheme for a dendritic solidification phase field model with melt convection. - Chuanjun Chen; Xiaofeng Yang 003 (J. Comput. Phys., 2019)

Highly Efficient and Accurate Numerical Schemes for the Epitaxial Thin Film Growth Models by Using the SAV Approach. - Qing Cheng 003; Jie Shen 001; Xiaofeng Yang 003 (J. Sci. Comput., 2019)

A Decoupled, Linear and Unconditionally Energy Stable Scheme with Finite Element Discretizations for Magneto-Hydrodynamic Equations. - Guo-Dong Zhang; Xiaoming He; Xiaofeng Yang 003 (J. Sci. Comput., 2019)

Non-iterative, unconditionally energy stable and large time-stepping method for the Cahn-Hilliard phase-field model with Flory-Huggins-de Gennes free energy. - Jun Zhang 047; Xiaofeng Yang 003 (Adv. Comput. Math., 2020)

A new magnetic-coupled Cahn-Hilliard phase-field model for diblock copolymers and its numerical approximations. - Jun Zhang 047; Xiaofeng Yang 003 (Appl. Math. Lett., 2020)

Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields. - Feng Bai; Daozhi Han; Xiaoming He; Xiaofeng Yang 003 (Commun. Nonlinear Sci. Numer. Simul., 2020)

Efficient numerical scheme for a new hydrodynamically-coupled conserved Allen-Cahn type Ohta-Kawaski phase-field model for diblock copolymer melt. - Chuanjun Chen; Jun Zhang 047; Xiaofeng Yang 003 (Comput. Phys. Commun., 2020)

Efficient, second oder accurate, and unconditionally energy stable numerical scheme for a new hydrodynamics coupled binary phase-field surfactant system. - Jun Zhang 047; Chuanjun Chen; Jiangxing Wang; Xiaofeng Yang 003 (Comput. Phys. Commun., 2020)

Efficient, non-iterative, and second-order accurate numerical algorithms for the anisotropic Allen-Cahn Equation with precise nonlocal mass conservation. - Jun Zhang 047; Chuanjun Chen; Xiaofeng Yang 003; Yuchuan Chu; Zeyu Xia 001 (J. Comput. Appl. Math., 2020)

Efficient numerical scheme for a penalized Allen-Cahn type Ohta-Kawasaki phase-field model for diblock copolymers. - Jun Zhang 047; Chuanjun Chen; Xiaofeng Yang 003; Kejia Pan (J. Comput. Appl. Math., 2020)

Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations. - Guo-Dong Zhang; Xiaoming He; Xiaofeng Yang 003 (J. Comput. Appl. Math., 2020)

Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model. - Jun Zhang 047; Xiaofeng Yang 003 (J. Comput. Phys., 2020)

Error Analysis of a Decoupled, Linear Stabilization Scheme for the Cahn-Hilliard Model of Two-Phase Incompressible Flows. - Zhen Xu 013; Xiaofeng Yang 003; Hui Zhang 021 (J. Sci. Comput., 2020)

Convergence Analysis for the Invariant Energy Quadratization (IEQ) Schemes for Solving the Cahn-Hilliard and Allen-Cahn Equations with General Nonlinear Potential. - Xiaofeng Yang 003; Guo-Dong Zhang (J. Sci. Comput., 2020)

Second-order accurate and energy stable numerical scheme for an immiscible binary mixture of nematic liquid crystals and viscous fluids with strong anchoring potentials. - Yubing Sui; Jingzhou Jiang; Guigen Jin; Xiaofeng Yang 003 (Adv. Comput. Math., 2021)

Efficient linear, decoupled, and unconditionally stable scheme for a ternary Cahn-Hilliard type Nakazawa-Ohta phase-field model for tri-block copolymers. - Chuanjun Chen; Xi Li; Jun Zhang 047; Xiaofeng Yang 003 (Appl. Math. Comput., 2021)

On a novel fully-decoupled, linear and second-order accurate numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow. - Xiaofeng Yang 003 (Comput. Phys. Commun., 2021)

Highly efficient and stable numerical algorithm for a two-component phase-field crystal model for binary alloys. - Shi-Zhuan Han; Qiongwei Ye; Xiaofeng Yang 003 (J. Comput. Appl. Math., 2021)

Efficient energy stable scheme for volume-conserved phase-field elastic bending energy model of lipid vesicles. - Xi Li; Tongmao Li; Rungting Tu; Kejia Pan; Chuanjun Chen; Xiaofeng Yang 003 (J. Comput. Appl. Math., 2021)

Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model. - Qi Li 009; Xi Li; Xiaofeng Yang 003; Liquan Mei (J. Comput. Appl. Math., 2021)

A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model. - Xiaofeng Yang 003 (J. Comput. Phys., 2021)

Efficient and energy stable scheme for the hydrodynamically coupled three components Cahn-Hilliard phase-field model using the stabilized-Invariant Energy Quadratization (S-IEQ) Approach. - Xiaofeng Yang 003 (J. Comput. Phys., 2021)

Efficient, non-iterative, and decoupled numerical scheme for a new modified binary phase-field surfactant system. - Chen Xu 004; Chuanjun Chen; Xiaofeng Yang 003 (Numer. Algorithms, 2021)

On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model. - Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2021)

Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model. - Guo-Dong Zhang; Xiaoming He; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2021)

A novel second-order time accurate fully discrete finite element scheme with decoupling structure for the hydrodynamically-coupled phase field crystal model. - Jing An; Jun Zhang 047; Xiaofeng Yang 003 (Comput. Math. Appl., 2022)

Decoupled, second-order accurate in time and unconditionally energy stable scheme for a hydrodynamically coupled ternary Cahn-Hilliard phase-field model of triblock copolymer melts. - Ziqiang Wang; Jun Zhang 047; Xiaofeng Yang 003 (Comput. Math. Appl., 2022)

A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity. - Peng Liu; Zhigang Ouyang; Chuanjun Chen; Xiaofeng Yang 003 (Commun. Nonlinear Sci. Numer. Simul., 2022)

Fully-discrete Spectral-Galerkin scheme with second-order time-accuracy and unconditionally energy stability for the volume-conserved phase-field lipid vesicle model. - Junying Cao; Jun Zhang 047; Xiaofeng Yang 003 (J. Comput. Appl. Math., 2022)

Efficient Fully decoupled and second-order time-accurate scheme for the Navier-Stokes coupled Cahn-Hilliard Ohta-Kawaski Phase-Field model of Diblock copolymer melt. - Tongmao Li; Peng Liu; Jun Zhang 047; Xiaofeng Yang 003 (J. Comput. Appl. Math., 2022)

Efficient decoupled second-order numerical scheme for the flow-coupled Cahn-Hilliard phase-field model of two-phase flows. - Qiongwei Ye; Zhigang Ouyang; Chuanjun Chen; Xiaofeng Yang 003 (J. Comput. Appl. Math., 2022)

A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-Nematic model for two-phase complex fluids confined in the Hele-Shaw cell. - Chuanjun Chen; Xiaofeng Yang 003 (J. Comput. Phys., 2022)

Numerical approximations of flow coupled binary phase field crystal system: Fully discrete finite element scheme with second-order temporal accuracy and decoupling structure. - Xiaofeng Yang 003; Xiaoming He (J. Comput. Phys., 2022)

A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations. - Guo-Dong Zhang; Xiaoming He; Xiaofeng Yang 003 (J. Comput. Phys., 2022)

Convergence Analysis of the Fully Discrete Hybridizable Discontinuous Galerkin Method for the Allen-Cahn Equation Based on the Invariant Energy Quadratization Approach. - Jiangxing Wang; Kejia Pan; Xiaofeng Yang 003 (J. Sci. Comput., 2022)

Fully-discrete Spectral-Galerkin numerical scheme with second-order time accuracy and unconditional energy stability for the anisotropic Cahn-Hilliard Model. - Xilin Min; Jun Zhang 047; Xiaofeng Yang 003 (J. Comput. Appl. Math., 2023)

Decoupled finite element scheme of the variable-density and viscosity phase-field model of a two-phase incompressible fluid flow system using the volume-conserved Allen-Cahn dynamics. - Ziqiang Wang; Chuanjun Chen; Yanjun Li; Xiaofeng Yang 003 (J. Comput. Appl. Math., 2023)

Fully discrete Spectral-Galerkin scheme for a ternary Allen-Cahn type mass-conserved Nakazawa-Ohta phase-field model for triblock copolymers. - Ziqiang Wang; Jun Zhang 047; Xiaofeng Yang 003 (J. Comput. Appl. Math., 2023)

Fully Discrete Discontinuous Galerkin Numerical Scheme with Second-Order Temporal Accuracy for the Hydrodynamically Coupled Lipid Vesicle Model. - Guang-an Zou; Zhaohua Li; Xiaofeng Yang 003 (J. Sci. Comput., 2023)

Efficient second-order, linear, decoupled and unconditionally energy stable schemes of the Cahn-Hilliard-Darcy equations for the Hele-Shaw flow. - Rui Chen 004; Yaxiang Li; Kejia Pan; Xiaofeng Yang 003 (Numer. Algorithms, 2023)

Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model. - Guo-Dong Zhang; Xiaoming He; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2023)

Subdivision-based IGA Coupled EIEQ Method for the Cahn-Hilliard Phase-Field Model of Homopolymer Blends on Complex Surfaces. - Qing Pan; Chong Chen; Timon Rabczuk; Jin Zhang; Xiaofeng Yang 003 (Comput. Aided Des., 2023)

Global constraints preserving Lagrange multiplier approach for the incompressible flow-coupled phase-field vesicle membrane models. - Yanqing He; Qi Li 009; Xiaofeng Yang 003 (Comput. Phys. Commun., 2025)

Fully discrete finite element method with full decoupling structure and second-order temporal accuracy for a flow-coupled dendritic solidification phase-field model. - Jun Zhang 047; Kejia Pan; Xiaofeng Yang 003 (J. Comput. Phys., 2025)

Energy-stable and efficient finite element schemes for the Shliomis model of ferrofluid flows. - Guo-Dong Zhang; Kejia Pan; Xiaoming He; Xiaofeng Yang 003 (Adv. Comput. Math., 2025)