教育经历：

2006.09-2011.07，博士，中国科学院 数学与系统科学研究院

2010.04-2011.03，联合培养，明尼苏达大学 数学系

2002.09-2006.07，学士，北京大学 香港正版二四六论坛

2015.8—至今，副教授，厦门大学 香港正版二四六论坛

2011.07-2015.07，助理教授，厦门大学 香港正版二四六论坛

2016.09-2017.09，访问学者，普渡大学 数学系

高精度有限元，有限元外微分

微积分，线性代数，数值逼近

第十届厦门大学青年教师教学比赛一等奖

National Natural Science Foundation of China, 1/1/2014-31/12/2016, 1/1/2019-31/12/2022, PI.

Fundamental Research Funds for the Central Universities, 1/1/2015-31/12/2017, 1/1/2018-31/12/2020, PI.

1. Hongtao Chen,Error estimates for the scalar auxiliary variable (SAV) schemes to the viscous Cahn-Hilliard equation with hyperbolic relaxation, Journal of Mathematical Analysis and Applications, Volume 499, Issue 1, 2021, 125002

2. Chen, Hongtao, Feng, Xiaobing & Zhang, Zhimin, A recovery-based linear C0 finite element method for a fourth-order singularly perturbed Monge-Ampère equation. Adv Comput Math 47, 21 (2021).

3. Hongtao Chen, Jingjing Mao, Jie Shen, Optimal error estimates for SAV finite-element schemes for gradient flows. Numer. Math. 145(1):167-196, 2020.

4. Hongtao Chen, Jingjing Mao, Jie Shen, Error estimate of Gauge-Uzawa methods for incompressible flows with variable density, Journal of Computational and Applied Mathematics, Volume 364, 15 January 2020, 112321.

5. Chen, Hongtao; Guo, Hailong; Zhang, Zhimin; Zou, Qingsong, A C^0 linear finite element method for two fourth-order eigenvalue problems. IMA J. Numer. Anal. 37 (2017), no. 4, 2120–2138.

6. Arnold, Douglas N.; Chen, Hongtao, Finite element exterior calculus for parabolic problems. ESAIM Math. Model. Numer. Anal. 51 (2017), no. 1, 17–34.

7. Chen, Hongtao; Xie, Hehu; Xu, Fei, A full multigrid method for eigenvalue problems. J. Comput. Phys. 322 (2016), 747–759.

8. Chen, Hongtao; Zhang, Zhimin; Zou, Qingsong, A recovery based linear finite element method for 1D bi-harmonic problems. J. Sci. Comput. 68 (2016), no. 1, 375–394.

9. Xu, Xiuxiu; Huang, Qiumei; Chen, Hongtao Local superconvergence of continuous Galerkin solutions for delay differential equations of pantograph type. J. Comput. Math. 34 (2016), no. 2, 186–199.

10. Jia, ShangHui; Chen, HongTao; Xie, HeHu A posteriori error estimator for eigenvalue problems by mixed finite element method. Sci. China Math. 56 (2013), no. 5, 887–900.

11. Hongtao Chen, Qun Lin, Junming Zhou and Hong Wang. Uniform error estimates for triangular finite element solutions of advection-diffusion equations, Advances in Computational Mathematics, Volume 38, Issue 1, 83-100, 2013.

12. Hongtao Chen, Shanghui Jia, and Hehu Xie. Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems. Applications of Mathematics, Volume 54, Issue 3, pp237–250, 2009.

13. Hongtao Chen, Qun Lin, Vladimir V.Shaidurov and Junming Zhou, Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of the first derivatives for advection-diffusion equations, Numerical Analysis and Applications, Volume 4, Issue 4, pp 345-362,2011.

14. Hongtao Chen, Shanghui Jia and Hehu Xie, Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem, Applied Numerical Mathematics, Volume 61, Issue 4, pp 615-629, 2011.

15. Hongtao Chen, Qun Lin, Vladimir V.Shaidurov and Junming Zhou, Error estimates for triangular and tetrahedral finite elements in combination with a trajectory approximation of time derivative for advection-diffusion equations, Siberian J. Num. Math., Volume 14, Issue 4, pp 425-442, 2011.

16. 陈竑焘，林群，周俊明，对流扩散方程特征线三角元法的一致估计. 数学的实践与认识, 第41 卷, 第19 期,173-184 页, 2011.

17. 陈竑焘，林群，罗福生，对流扩散方程特征线双线性元的一致估计. 数学的实践与认识, 第41 卷, 第20 期, 188-197 页, 2011.

18.  Mingxia Li, Hongtao Chen and Shipeng Mao. Accuracy enhancement for the Signorini problem with finite element method. Acta Mathematica Scientia, Volume 31, Issue 3, pp 897-908, 2011.

19. 林群，周俊明，陈竑焘. 三维矩形域上泊松方程四面体线元的超逼近与外推，数学的实践与认识 , 第39 卷, 第13 期, 215-220页,2009.

20. 林群，周俊明，陈竑焘. 椭圆型方程四面体线元的超逼近与外推，数学的实践与认识，第39 卷, 第15 期, 200-208 页,2009.

21. 林群，周俊明，陈竑焘. 三维有限元本征值的外推. 数学的实践与认识, 第41 卷, 第11 期, 132-139 页, 2011.

22. 林群，王宏，周俊明，张书华，陈竑焘，对流扩散方程三角形有限元解的一致估计. 数学的实践与认识, 第41 卷, 第21 期,232-238 页, 2011.

毛静静（硕士生，已毕业）王彤（硕士生，在读）