Associate Professor, Master Supervisor

Address: No.5 Dongfeng Road, Zhengzhou University of Light Industry, Zhengzhou, Henan, China

E-mail: hongruig@zzuli.edu.cn

Websites: https://orcid.org/0000-0002-9894-7192

Research Interests:

Numerical methods for partial differential equations, Finite Element Method, Discontinuous Galerkin Method, Virtual Element Method, Physics-Informed Neural Networks

Educational Background:

201202--201606, Chongqing University, College of Mathematics andStatistics, Doctor;

201401--201501, Michigan Technological University, Applied Mathematics, JointPhD;

200909--201201, Chongqing University, College of Mathematics andStatistics, Master;

200509--200906, Shangqiu Normal University, School of Mathematics andStatistics, Bachelor.

Teaching Courses:

Advanced Mathematics, Numerical Analysis, Mathematical Experiment, Mathematical Modelling and Experiments, Numerical Solution of Partial Differential Equation, Numerical Analysis, Discontinuous Finite Element Methods

Publications:

[1] Hongrui Geng, Zihan Huang, Guizhong Xie, Hongbo Guan. Multi-domain Substructured Physics-Informed Neural Network for Heat Conduction Problems in Multi-layered Thin-walled Structures, Engineering Letters, 2026.

[2] Hongrui Geng, Quanyu Dou, Guizhong Xie, Hongbo Guan. Quasi-uniform DtN-FE method for the exterior scattering problem, IAENG International Journal of Applied Mathematics, 55: 1531-1537, 2025.

[3] Hongrui Geng, Zhenhua Xu. Coupling of boundary integral equation and finite element methods for transmission problems in acoustics, Numerical Algorithms, 82: 479-501, 2019.

[4] Yingxia Xi, Xia Ji, Hongrui Geng. A $C^0$IP method of transmission eigenvalues for elastic waves, Journal of Computational Physics, 374: 237-248, 2018.

[5] Hongrui Geng, Tao Yin, Liwei Xu, A priori error estimates of the DtN-FEM for thetransmission problem in acoustics, Journal of Computational and Applied Mathematics, 313: 1-17, 2017.

[6] Hongrui Geng, Xia Ji, Jiguang Sun, Liwei Xu.$C^0$IP methods for the transmissioneigenvalue problem, Journal of Scientific Computing, 68: 326-338, 2016.

[7] Xia Ji, Hongrui Geng, Jiguang Sun, Liwei Xu.$C^0$IPG for a fourth order eigenvalue problem, Communication in Computational Physics, 19(2): 393-410, 2016.

Fundings:

1. 202301-202412, Natural Science Foundation of Henan Province, 232300420117, PI.

2. 201801-202012, National Natural Science Foundation of China, 11701526, PI.

3. 201801-201912, The Foundation of Henan Educational Committee, 18A110035, PI.

Honors:

Young backbone teachers of higher education institutions in Henan Province

Professional Affiliations:

Member of China Society for Industrial and Applied Mathematics, AMS Mathematical Reviews