Development of a kind of robotic catheter manipulation system. - Nan Xiao 003; Shuxiang Guo; Jian Guo 003; Xufeng Xiao; Takashi Tamiya (ROBIO, 2011)

The lumped mass finite element method for surface parabolic problems: Error estimates and maximum principle. - Xufeng Xiao; Xinlong Feng; Jinyun Yuan (Comput. Math. Appl., 2018)

A lifted local Galerkin method for solving the reaction-diffusion equations on implicit surfaces. - Xufeng Xiao; Kun Wang; Xinlong Feng (Comput. Phys. Commun., 2018)

Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method. - Xufeng Xiao; Xinlong Feng; Yinnian He (Comput. Math. Appl., 2019)

An efficient time adaptivity based on chemical potential for surface Cahn-Hilliard equation using finite element approximation. - Shubo Zhao; Xufeng Xiao; Xinlong Feng (Appl. Math. Comput., 2020)

A Petrov-Galerkin finite element method for simulating chemotaxis models on stationary surfaces. - Shubo Zhao; Xufeng Xiao; Jianping Zhao 001; Xinlong Feng (Comput. Math. Appl., 2020)

A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces. - Xufeng Xiao; Zihuan Dai; Xinlong Feng (Comput. Phys. Commun., 2020)

An efficient operator-splitting FEM-FCT algorithm for 3D chemotaxis models. - Xueling Huang; Xufeng Xiao; Jianping Zhao 001; Xinlong Feng (Eng. Comput., 2020)

Numerical simulations for the predator-prey model on surfaces with lumped mass method. - Meng Zhang; Xufeng Xiao; Xinlong Feng (Eng. Comput., 2021)

The local tangential lifting method for moving interface problems on surfaces with applications. - Xufeng Xiao; Xinlong Feng; Zhilin Li 002 (J. Comput. Phys., 2021)

An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model. - Yan Wang; Xufeng Xiao; Xinlong Feng (Comput. Math. Appl., 2022)

An accurate and parallel method with post-processing boundedness control for solving the anisotropic phase-field dendritic crystal growth model. - Yan Wang; Xufeng Xiao; Xinlong Feng (Commun. Nonlinear Sci. Numer. Simul., 2022)

Numerical Study on an RBF-FD Tangent Plane Based Method for Convection-Diffusion Equations on Anisotropic Evolving Surfaces. - Nazakat Adil; Xufeng Xiao; Xinlong Feng (Entropy, 2022)

A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems. - Xufeng Xiao; Xinlong Feng (Math. Comput. Simul., 2022)

An adaptive time-stepping method for the phase-field molecular beam epitaxial growth model on evolving surfaces. - Shijie Huang; Xufeng Xiao; Xinlong Feng (Appl. Math. Comput., 2023)

An efficient dimension splitting p-adaptive method for the binary fluid surfactant phase field model. - Na Xie; Yan Wang; Xufeng Xiao; Xinlong Feng (Comput. Math. Appl., 2023)

An immersed finite element method for elliptic interface problems on surfaces. - Changyin Guo; Xufeng Xiao; Xinlong Feng; Zhijun Tan (Comput. Math. Appl., 2023)

Efficient numerical simulation of Cahn-Hilliard type models by a dimension splitting method. - Xufeng Xiao; Xinlong Feng; Zuoqiang Shi (Comput. Math. Appl., 2023)

An Adaptive Time-Stepping Method for the Binary Fluid-Surfactant Phase Field Model on Evolving Surfaces. - Shijie Huang; Xufeng Xiao; Xinlong Feng (J. Sci. Comput., 2023)

Efficient Numerical Simulation of Biochemotaxis Phenomena in Fluid Environments. - Xingying Zhou; Guoqing Bian; Yan Wang; Xufeng Xiao (Entropy, 2023)

Stabilized finite element approximation of the Swift-Hohenberg model on evolving surfaces. - Xiao Yu; Shijie Huang; Xufeng Xiao; Xinlong Feng (Commun. Nonlinear Sci. Numer. Simul., 2023)

A high resolution Physics-informed neural networks for high-dimensional convection-diffusion-reaction equations. - Jiangong Pan; Xufeng Xiao; Lei Guo; Xinlong Feng (Appl. Soft Comput., 2023)

An ALE meshfree method for surface PDEs coupling with forced mean curvature flow. - Nazakat Adil; Xufeng Xiao; Kun Wang; Xinlong Feng (J. Comput. Phys., 2023)

A mixed immersed finite element method for fourth-order interface problems on surfaces. - Jiaqi Chen; Xufeng Xiao; Xinlong Feng (Comput. Math. Appl., 2024)

Efficient diffusion domain modeling and fast numerical methods for diblock copolymer melt in complex domains. - Yan Wang; Xufeng Xiao; Hong Zhang 008; Xu Qian; Songhe Song (Comput. Phys. Commun., 2024)

Mathematical modeling and numerical simulation of the N-component Cahn-Hilliard model on evolving surfaces. - Lulu Liu; Shijie Huang; Xufeng Xiao; Xinlong Feng (J. Comput. Phys., 2024)

Numerical simulation for the conserved Allen-Cahn phase field model of two-phase incompressible flows by an efficient dimension splitting method. - Yan Wang; Xufeng Xiao; Xinlong Feng (Commun. Nonlinear Sci. Numer. Simul., 2024)

A convective Allen-Cahn model for the two- and three-dimensional shape transformations of non-contact objects. - Anwen Jiang; Yan Wang; Fenglian Zheng; Xufeng Xiao (Comput. Math. Appl., 2025)

An efficient D-RBF-PU method for parabolic PDEs on evolving surfaces based on ALE framework. - Yajun Liu; Yuanyang Qiao; Xufeng Xiao; Xinlong Feng (Commun. Nonlinear Sci. Numer. Simul., 2025)

Modeling and simulation of the conserved N-component Allen-Cahn model on evolving surfaces. - Lulu Liu; Xufeng Xiao; Xinlong Feng (Commun. Nonlinear Sci. Numer. Simul., 2025)

On a skin tumor growth modeling by the surface finite element methods combined with the phase field approach. - Rui Xu; Shijie Huang; Xufeng Xiao; Dongwoo Sheen; Xinlong Feng (Commun. Nonlinear Sci. Numer. Simul., 2025)

Accurate simulation of the anisotropic dendrite crystal growth by the 3DVar data assimilation. - Fenglian Zheng; Xufeng Xiao (Comput. Phys. Commun., 2025)

A level set immersed finite element method for parabolic problems on surfaces with moving interfaces. - Jiaqi Chen; Xufeng Xiao; Xinlong Feng; Dongwoo Sheen (J. Comput. Phys., 2025)

An energy-stable parametric finite element approximation for axisymmetric Willmore flow of closed surfaces. - Cuiling Ma; Xufeng Xiao; Xinlong Feng (J. Comput. Phys., 2025)

Two linear energy stable lumped mass finite element schemes for the viscous Cahn-Hilliard equation on curved surfaces in 3D. - Longyuan Wu; Xufeng Xiao; Shuying Zhai (Math. Comput. Simul., 2025)

An immersed finite element method for parabolic interface problems on surfaces. - Jiaqi Chen; Xufeng Xiao; Xinlong Feng (J. Comput. Appl. Math., 2026)