厦门大学数学学院师资队伍
School of Mathematical Sciences Xiamen University
师资队伍
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Hongtao Chen (陈竑焘)

 

Associate Professor 

School of Mathematical Sciences, Xiamen University

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Xiamen 361005, China
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Office: 531 Haiyun Campus



 
 
Education（教育经历）
  • Ph.D. in Computational Mathematics, AMSS, Chinese Academy of Sciences, 2006.09-2011.07. 
  • （博士，中国科学院 数学与系统科学研究院）
  • B.Sc. in Computational Mathematics, School of Mathematical Sciences, Peking University, 2002.09-2006.07
  • （学士，北京大学 数学科学学院）
Academic Experiences（工作经历）
 
  • Associate Professor, School of Mathematical Sciences, Xiamen University, 2015.08- present
  • （副教授，厦门大学 数学科学学院）
  • Assistant Professor, School of Mathematical Sciences, Xiamen University, 2011.07-2015.07
  • （助理教授，厦门大学 数学科学学院）
  • Visiting scholar, Department of Mathematics, Purdue University, 2016.09-2017.09
  • （访问学者，普渡大学 数学系）
  • Research fellow, School of Mathematics, University of Minnesota, 2010.04-2011.03
  • （研究助理，明尼苏达大学 数学系）
Teaching（讲授课程）     

     Calculus, Linear algebra, Numerical approximation（微积分，线性代数，数值逼近）

 

Recent Research Interests（研究兴趣）

·                  High accuracy finite element method（高精度有限元）

·                  Finite element exterior calculus（有限元外微分）

Funding（主持项目） 

·                  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.

     Natural Science Foundation of Fujian Province, 1/1/2013-31/12/2015, 1/1/2018-31/12/2020,PI. 

 

Recent Publications 

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

2. 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.

3. 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.

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

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

6. 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.

7. 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.

8. 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.

9. 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.

10. 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.
11. 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.
12. 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.
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 time derivative for advection-diffusion equations, Siberian J. Num. Math., Volume 14, Issue 4, pp 425-442, 2011.
14. 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.
15. 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.
16.  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.
17. 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.
18. 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.
19. 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.
20. 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.

 

 

Graduated student（毕业研究生）

     Jingjing Mao（毛静静）

 

 
 
 
简介
 
系别：
信息与计算数学系
办公室：海韵校区物机楼531
教师：陈竑焘
职称：副教授
职务：教师
Phone：
Email：
chenht@xmu.edu.cn
研究方向：
微分方程数值解，有限元高精度算法，有限元外微分