High order well-balanced central local discontinuous Galerkin-finite element methods for solving the Green-Naghdi model. - Maojun Li; Yuting Jiang; Haiyun Dong (Appl. Math. Comput., 2017)

The element-free Galerkin method for the nonlinear p-Laplacian equation. - Xiaolin Li; Haiyun Dong (Comput. Math. Appl., 2018)

Analysis of the element-free Galerkin method for Signorini problems. - Xiaolin Li; Haiyun Dong (Appl. Math. Comput., 2019)

Maximum-Principle-Satisfying and Positivity-Preserving High Order Central DG Methods on Unstructured Overlapping Meshes for Two-Dimensional Hyperbolic Conservation Laws. - Maojun Li; Haiyun Dong; Binbin Hu; Liwei Xu (J. Sci. Comput., 2019)

Error analysis of the meshless finite point method. - Xiaolin Li; Haiyun Dong (Appl. Math. Comput., 2020)

An element-free Galerkin method for the obstacle problem. - Xiaolin Li; Haiyun Dong (Appl. Math. Lett., 2021)

A well-balanced discontinuous Galerkin method for the shallow water flows on erodible bottom. - Maojun Li; Rushuang Mu; Haiyun Dong (Comput. Math. Appl., 2022)

Mass, momentum and energy identical-relation-preserving scheme for the Navier-Stokes equations with variable density. - Yuhao Zhang; Haiyun Dong; Kun Wang 030 (Comput. Math. Appl., 2023)

Near-field imaging method for interior inverse elastic scattering problem. - Fang Zeng; Jiajia Wang; Shuang Zhou; Haiyun Dong (Comput. Math. Appl., 2024)

High order well-balanced asymptotic preserving IMEX RKDG schemes for the two-dimensional nonlinear shallow water equations. - Xian Xie; Haiyun Dong; Maojun Li (J. Comput. Phys., 2024)

Analysis of a stabilized element-free Galerkin method for magnetohydrodynamic flow at very large Hartmann numbers. - Xiaolin Li 008; Haiyun Dong (Appl. Math. Comput., 2025)

Unconditional error analysis of an element-free Galerkin method for the nonlinear Schrödinger equation. - Xiaolin Li; Haiyun Dong (Commun. Nonlinear Sci. Numer. Simul., 2025)

Mass conservation, positivity and energy identical-relation preserving scheme for the Navier-Stokes equations with variable density. - Fan Yang; Haiyun Dong; Maojun Li; Kun Wang (CoRR, 2025)