Convergence and stability of a numerical method for micromagnetics. - Zhiping Li; Xianmin Xu (Numerische Mathematik, 2009)

Derivation of the Wenzel and Cassie Equations from a Phase Field Model for Two Phase Flow on Rough Surface. - Xianmin Xu; Xiaoping Wang 002 (SIAM J. Appl. Math., 2010)

Analysis of Wetting and Contact Angle Hysteresis on Chemically Patterned Surfaces. - Xianmin Xu; Xiaoping Wang 002 (SIAM J. Appl. Math., 2011)

On surface meshes induced by level set functions. - Maxim A. Olshanskii; Arnold Reusken; Xianmin Xu (Comput. Vis. Sci., 2012)

An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces. - Maxim A. Olshanskii; Arnold Reusken; Xianmin Xu (SIAM J. Numer. Anal., 2014)

A Multiscale Finite Element Method for Oscillating Neumann Problem on Rough Domain. - Pingbing Ming; Xianmin Xu (Multiscale Model. Simul., 2016)

Modified Wenzel and Cassie Equations for Wetting on Rough Surfaces. - Xianmin Xu (SIAM J. Appl. Math., 2016)

An efficient threshold dynamics method for wetting on rough surfaces. - Xianmin Xu; Dong Wang 008; Xiaoping Wang 002 (J. Comput. Phys., 2017)

A Trace Finite Element Method for PDEs on Evolving Surfaces. - Maxim A. Olshanskii; Xianmin Xu (SIAM J. Sci. Comput., 2017)

A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces. - Christoph Lehrenfeld; Maxim A. Olshanskii; Xianmin Xu (SIAM J. Numer. Anal., 2018)

An improved threshold dynamics method for wetting dynamics. - Dong Wang 008; Xiao-Ping Wang 002; Xianmin Xu (J. Comput. Phys., 2019)

Analysis for Contact Angle Hysteresis on Rough Surfaces by a Phase-Field Model with a Relaxed Boundary Condition. - Xianmin Xu; Yinyu Zhao; Xiaoping Wang 002 (SIAM J. Appl. Math., 2019)

A variational analysis for the moving finite element method for gradient flows. - Xianmin Xu (CoRR, 2020)

A finite element method for Allen-Cahn equation on deforming surface. - Maxim A. Olshanskii; Xianmin Xu; Vladimir Yushutin (Comput. Math. Appl., 2021)

A trace finite element method by integrating on the surface with exact geometry description. - Song Lu; Xianmin Xu (CoRR, 2021)

An efficient diffusion generated motion method for wetting dynamics. - Song Lu; Xianmin Xu (J. Comput. Phys., 2021)

A Unified Spatial-Angular Structured Light for Single-View Acquisition of Shape and Reflectance. - Xianmin Xu; Yuxin Lin; Haoyang Zhou; Chong Zeng 001; Yaxin Yu; Kun Zhou 001; Hongzhi Wu (CVPR, 2023)

Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces. - Si Xiao; Xianmin Xu; Zhen Zhang 018 (Multiscale Model. Simul., 2023)

Numerical Investigations on Trace Finite Element Methods for the Laplace-Beltrami Eigenvalue Problem. - Song Lu; Xianmin Xu (J. Sci. Comput., 2023)

A Unified Variational Framework on Macroscopic Computations for Two-Phase Flow with Moving Contact Lines. - Xianmin Xu (SIAM J. Sci. Comput., 2023)

OpenSVBRDF: A Database of Measured Spatially-Varying Reflectance. - Xiaohe Ma; Xianmin Xu; Leyao Zhang; Kun Zhou 001; Hongzhi Wu (ACM Trans. Graph., 2023)

A variational discretization method for mean curvature flows by the Onsager principle. - Yihe Liu; Xianmin Xu (CoRR, 2024)

The Onsager principle and physics preserving numerical schemes. - Huangxin Chen; Hailiang Liu; Xianmin Xu (CoRR, 2024)

Transformed Model Reduction for Partial Differential Equations with Sharp Inner Layers. - Tianyou Tang; Xianmin Xu (SIAM J. Sci. Comput., 2024)

The Onsager principle and structure preserving numerical schemes. - Huangxin Chen; Hailiang Liu; Xianmin Xu (J. Comput. Phys., 2025)

A moving mesh method for porous medium equation by the Onsager variational principle. - Si Xiao; Xianmin Xu (J. Comput. Phys., 2025)

A structure-preserving decoupled numerical method for Navier-Stokes-Nernst-Planck-Maxwell system. - Xianmin Xu; Xiaodi Zhang; Weiying Zheng (J. Comput. Phys., 2025)

A Narrow Band Numerical Method for a Surface Reaction-Diffusion System Coupled with Surface Motion. - Song Lu; Xianmin Xu (J. Sci. Comput., 2025)

Phase-Field Modeling and Energy-Stable Schemes for Osmotic Flow through Semi-Permeable. - Ruihan Guo; Jie Shen; Shixin Xu; Xianmin Xu (CoRR, 2025)