Yanxia Qian, Yongchao Zhang, Suchuan Dong*. Error analysis and numerical algorithm for PDE approximation with hidden-layer concatenated physics informed neural networks. Journal of Computational Physics. 2025, 530, 113906.
Yanxia Qian, Yongchao Zhang*, Yunqing Huang. Error analysis of positivity-preserving energy stable schemes for the modified phase field crystal model. Applied Numerical Mathematics. 2025, 207, 470-498
Yanxia Qian, Yunqing Huang, Yongchao Zhang*. Decoupled, linear and positivity-preserving schemes for a modified phase field crystal system incorporating long-range interactions. Applied Mathematics and Computation. 2025, 488, 129089.
Yanxia Qian, Yongchao Zhang, Yunqing Huang*, Suchuan Dong*. Physics-informed neural networks for approximating dynamic (hyperbolic) PDEs of second order in time: Error analysis and algorithms. Journal of Computational Physics. 2023, 495, 112527.
Yanxia Qian, Yongchao Zhang, Yunqing Huang*. Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation. Computers & Mathematics with Applications. 2023, 151, 461-472.
Yongchao Zhang, Liquan Mei, Gang Wang*. A posteriori error analysis of hybrid high-order method for the Stokes problem. Journal of Scientific Computing. 2023, 96:74.
Yanxia Qian, Fei Wang*, Yongchao Zhang, Weimin Han. A mixed discontinuous Galerkin method for an unsteady incompressible Darcy equation. Applicable Analysis. 2022, 101, 1176-1198.
Rui Li, Yongchao Zhang, Jianhua Wu*, Zhangxin Chen. Discontinuous finite volume element method for Darcy flows in fractured porous media. Journal of Computational and Applied Mathematics. 2021, 381, 113025.
Yongchao Zhang, Liquan Mei*, Rui Li. A hybrid high-order method for a coupled Stokes-Darcy problem on general meshes. Journal of Computational Physics. 2020, 403, 109064.
Yongchao Zhang, Liquan Mei*. A hybrid high-order method for a class of quasi-Newtonian Stokes equations on general meshes. Applied Mathematics and Computation. 2020, 366, 124741.
Yongchao Zhang, Yanxia Qian, Liquan Mei*. Discontinuous Galerkin methods for the stokes equations with nonlinear damping term on general meshes. Computers & Mathematics with Applications. 2020, 79, 2258-2275.
Hailong Qiu, Yongchao Zhang, Liquan Mei*. A Mixed-FEM for Navier–Stokes type variational inequality with nonlinear damping term. Numerical Methods for Partial Differential Equations. 2017, 33, 918-940.