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教师简介:易年余

发布时间:2018-09-30   阅读: 2594次

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基本信息


姓名:易年余

职称:教授

电子信箱:yinianyu@xtu.edu.cn

办公室:数学院北楼203

 

个人简介


易年余,男,湖南攸县人,博士,教授。

 

学习工作经历


教育经历:

  2007.07-2011.06,湘潭大学,数学与计算科学学院,博士研究生,计算数学

  2005.09-2007.06,湘潭大学,数学与计算科学学院,硕士研究生,计算数学

  2001.09-2005.06,天水师范学院,数学系,本科,数学与应用数学

工作经历:
  2019.01至今,湘潭大学,数学与计算科学学院,教授

  2014.01-2018.12,湘潭大学,数学与计算科学学院,副教授
  2012.08-2013.12,湘潭大学,数学与计算科学学院,讲师
  2011.07-2012.08,湘潭大学,数学与计算科学学院,助教

 

 2017.12.25-2018.02.05, 北京大学,数学科学学院,访问学者

 2016.01.10-2016.05.10, 爱荷华州立大学,数学系,访问学者

 2014.07.15-2014.11.15, 澳门大学,数学系,访问学者

 2013.11.01-2013.11.25, 洪堡大学,数学系,访问学者

 2012.07.01-2012.07.31, 北京大学,数学科学学院,访问学者

 2011.09.10-2012.02.10, 爱荷华州立大学,数学系,博士后


主讲课程


  本科生:解析几何,常微分方程,概率论与数理统计,高等数学

研究生:数值分析,偏微分方程数值解法,有限元方法数学理论

 

荀子@儒效:

不闻不若闻之,闻之不若见之,见之不若知之,知之不若行之;学至于行之而止矣。

   

研究方向


主要研究偏微分方程数值方法及应用:

  有限元超收敛与重构技术

  后验误差估计与自适应算法

  间断有限元方法

  保持偏微分方程特征的数值方法

  最优控制问题数值方法

 

The principle of FEM: Do not forget that you can eat an elephant if you slice it into small enough portions---Russian saying

 

科研项目 


主持的科研项目: 

    [1]. 2019.1--2021.12,湖南省杰出青年科学基金项目:基于超收敛和重构技术的自适应有限元方法。

  [2]. 2017.1--2020.12,国家自然科学基金面上项目:有限元重构方法及在Cahn - Hilliard方程高效计算方法中的应用。

  [3]. 2017.1--2019.12,湖南省教育厅重点项目:非线性色散偏微分方程保持方程特性的数值方法研究。

  [4]. 2015.1--2017.12,湖南省自科基金面上项目:有限元重构及应用。

  [5]. 2013.1--2015.12,国家自然科学基金青年科学基金:新的重构技术及网格质量对超收敛的影响研究。

  [6]. 2013.9--2015.9,湖南省优秀博士学位论文获奖作者资助项目:几类浅水波方程直接间断有限元方法研究。

  [7]. 2012.1--2015.12,湖南省教育厅优秀青年项目:高精度有限元重构技术与守恒DDG方法。

  [8]. 2012.1--2014.12,湖南省自科基金青年项目:有限元梯度重构方法及超收敛。

 

参与的科研项目:

  [1]. 2020.1--2023.12,国家自然科学基金面上项目:超材料中电磁场数值模拟的有限元重构技术及自适应有限元方法。

  [2]. 2015.1--2018.12,国家自然科学基金重大研究计划:相场数学模型及相关数学问题高精度数值方法。

  [3]. 2013.1--2016.12, 国家自然科学基金:超材料数值模拟及应用。

  [4]. 2010.9--2013.9,中德合作项目:四阶问题的自适应有限元方法。

  [5]. 2010.1--2013.12,湖南省教育厅重点项目:高质量网格快速生成技术与自适应有限元方法。

 

 

论文专著


  

        [1]. Yanping Chen, Nianyu Yi, and Wenbin Liu, A Legendre Galerkin spectral method for optimal control problems governed by elliptic equations, SIAM J. Numer. Anal., 2008, 46:2254-2275.

        [2]. Yanping Chen, Yunqing Huang, Nianyu Yi, A posteriori error estimates of spectral method for optimal control problems governed by parabolic equations, Science in China Series A Mathematics, 2008, 51:1376-1390.

     [3]. Yunqing Huang and Nianyu Yi, The Superconvergent Cluster Recovery Method, J. Sci. Comput., 2010, 44:301-322.

  [4]. Xiaoqing Xing, Yanping Chen, Nianyu Yi, Error estimates of mixed finite element methods for quadratic optimal control problems, Journal of Computational and Applied Mathematics, 2010, 233:1812-1820.

  [5]. Yunqing Huang, Qin Liang, and Nianyu Yi, High order compact schemes for gradient approximation, Science China: Mathematics, 2010, 53:1903-1918.

  [6]. Yanping Chen, Fenglin Huang, Nianyu Yi and Wenbin Liu, A Legendre Galerkin spectral method for optimal control problems governed by stokes equations, SIAM J. Numer. Anal., 2011, 49:1625-1648.

[7]. Yunqing Huang, Huayi Wei, Wei Yang and Nianyu Yi, A new a posteriori error estimates for adaptive finite element methods, DDM XIX, Lecture Notes in Computational Science and Engineering, Y. Huang et al. (eds.) 2011, 78:63-74.

[8]. Yanping Chen, Nianshi Xia, Nianyu Yi, A Legendre Galerkin spectral method for optimal control problems, Journal of Systems Science and Complexity, 2011, 24:663-671.

[9]. Yunqing Huang, Wei Yang, Nianyu Yi, A posteriori error estimate based on the explicit polynomial recovery, Natural Science Journal of Xiangtan University, 2011, 33:1-12.

  [10]. Yunqing Huang, Hailiang Liu and Nianyu Yi, Recovery of interface derivatives from the piecewise $L^2$ projection, J. Comput. Phys., 2012, 231:1230-1243.

  [11]. Yunqing Huang, Kai Jiang and Nianyu Yi, Some weighted averaging methods for gradient recovery, Adv. Appl. Math. Mech., 2012, 4:131-155.

  [12]. Nianyu Yi, Yunqing Huang and Hailiang Liu, A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: Energy conservation and boundary effect, J. Comput. Phys., 2013, 242:351-366.

[13]. Yunqing Huang, Yifan Su, Huayi Wei and Nianyu Yi, Anisotropic mesh generation methods based on ACVT and natural metric for anisotropic elliptic equation, Science China: Mathematics, 2013, 56:2615-2630.

[14]. Yanping Chen, Tianliang Hou, Nianyu Yi, Variational discretization for optimal control problems governed by parabolic equations, Journal of Systems Science and Complexity, 2013, 26:902-924.

  [15]. Hailiang Liu, Yunqing Huang and Nianyu Yi, A direct discontinuous Galerkin method for the  Degasperis-Procesi equation, Methods and Applications of Analysis, 2014, 21:83-106.

  [16]. Yunqing Huang, Wei Yang and Nianyu Yi, Superconvergence analysis for the explicit polynomial recovery method, J. Comput. Appl. Math., 2014, 265:187-198.

  [17]. Guanghui Hu and Nianyu Yi, An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction, J. Comput. Phys., 2016, 312:235-251.

  [18]. Hailiang Liu and Nianyu Yi, A Hamiltoniam preserving discontinuous Galerkin method for generalized Korteweg-de Vries equation, J. Comput. Phys., 2016, 321:776-796.

  [19]. Guanghui Hu, Xucheng Meng and Nianyu Yi, Adjoint-based an adaptive finite volume method for steady Euler equations with non-oscillatory k-exact reconstruction, Computers & Fluids, 2016, 139. 174-183.

  [20]. Yunqing Huang, Liupeng Wang and Nianyu Yi, Mesh quality and more detailed error estimates of finite element method, Numerical Mathematics: Theory, Methods and Applications, 2017, 10:420-436.

  [21]. Nianyu Yi and Hailiang Liu, A energy conserving discontinuous Galerkin method for nonlinear variational wave equation, Communication in Computational Physics, 2018, 23:747-772.

[22]. Nianyu Yi, Yunqing Huang and Wei Yang, Function, derivative and high-order derivatives recovery method using the local symmetry projection in one dimensional, Journal of Scientific Computing, 2018, 74:536-572.

[23]. Jianhua Chen, Nianyu Yi, Yongyao Li, Exponential stability of perturbed superstable systems in Hilbert spaces, Semigroup Forum, 2018, 96:126-141.

[24]. Hailiang Liu, Yunqing Huang, Wenying Lu and Nianyu Yi, On accuracy of the mass preserving DG method to multi-dimensional Schrodinger equations, IMA Journal of Numerical Analysis, 2019, 39:760-791.

[25]. Congying Li, Yunqing Huang, Nianyu Yi, An unconditionally energy stable second order finite element method for solving the Allen–Cahn equation, Journal of Computational and Applied Mathematics, 2019, 353:38-48.

[26]. Yaoyao Chen, Yunqing Huang, Nianyu Yi, A SCR-based error estimation and adaptive finite element method for the Allen-Cahn equation, Computers and Mathematics with Applications, 2019, 781:204-223.

[27]. Yidan Zhang, Yunqing Huang, Nianyu Yi, Superconvergence of the Crouzeix-Raviart element for elliptic equation, Advances in Computational Mathematics, 2019.

[28]. Yunqing Huang, Huayi Wei, Wei Yang, Nianyu Yi, Recovery based finite element method for biharmonic equation in two dimensional, Journal of Computational Mathematics, 2019.

[29]. Chao Wu, Yunqing Huang, Nianyu Yi, Jinyun Yuan, Superconvergent recovery of rectangular edge finite element approximation by local symmetry projection, Journal of Scientific Computing, 2019, in press.

[30]. Nianyu Yi, Yunqing Huang, Hailiang Liu, A conservative discontinuous Galerkin method for nonlinear electromagnetic Schrodinger equations, SIAM Journal on Scientific Computing, 2019, in press.

[31]. Yaoyao Chen, Yunqing Huang, Nianyu Yi, Recovery type a posteriori error estimation of adaptive finite element method for Allen-Cahn equation, Journal of Computational and Applied Mathematics, 2019, accepted.

 

 

获奖情况 


[1]. 2007年, 中国计算数学学会第三届优秀青年论文竞赛一等奖.

[2]. 2013年, 湖南省优秀博士学位论文.

[3]. 2014年, 全国优秀博士学位论文提名奖.

[4]. 2018年, 湖南省普通高校青年骨干教师培养对象

[5]. 2019年,湖南省自然科学基金杰出青年基金获得者