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      當前位置:師資 > 教師簡介:易年余

      教師簡介:易年余

      發布時間:2018-09-30   閱讀: 7676次

      YiNianyu.jpg


      基本信息


      姓名:易年余

      職稱:教授

      電子信箱:yinianyu@xtu.edu.cn

      辦公室:數學院北樓203

       

      個人簡介


      易年余,男,湖南攸縣人,博士,教授。

       

      學習工作經歷


      教育經歷:

        2007.07-2011.06,湘潭大學,數學與計算科學學院,博士研究生,計算數學

        2005.09-2007.06,湘潭大學,數學與計算科學學院,碩士研究生,計算數學

        2001.09-2005.06,天水師范學院,數學系,本科,數學與應用數學

      工作經歷:
        2019.01至今,湘潭大學,數學與計算科學學院,教授

        2014.01-2018.12,湘潭大學,數學與計算科學學院,副教授
        2012.08-2013.12,湘潭大學,數學與計算科學學院,講師
        2011.07-2012.08,湘潭大學,數學與計算科學學院,助教

       

       2017.12.25-2018.02.05, 北京大學,數學科學學院,訪問學者

       2016.01.10-2016.05.10, 愛荷華州立大學,數學系,訪問學者

       2014.07.15-2014.11.15, 澳門大學,數學系,訪問學者

       2013.11.01-2013.11.25, 洪堡大學,數學系,訪問學者

       2012.07.01-2012.07.31, 北京大學,數學科學學院,訪問學者

       2011.09.10-2012.02.10, 愛荷華州立大學,數學系,博士后


      主講課程


        本科生:解析幾何,常微分方程,概率論與數理統計,高等數學

      研究生:數值分析,偏微分方程數值解法,有限元方法數學理論

       

      荀子@儒效:

      不聞不若聞之,聞之不若見之,見之不若知之,知之不若行之;學至于行之而止矣。

         

      研究方向


      主要研究偏微分方程數值方法及應用:

        有限元超收斂與重構技術

        后驗誤差估計與自適應算法

        間斷有限元方法

        保持偏微分方程特征的數值方法

        最優控制問題數值方法

       

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

       

      科研項目 


      主持的科研項目: 

          [1]. 2019.1--2021.12,湖南省杰出青年科學基金項目:基于超收斂和重構技術的自適應有限元方法。

        [2]. 2017.1--2020.12,國家自然科學基金面上項目:有限元重構方法及在Cahn - Hilliard方程高效計算方法中的應用。

        [3]. 2017.1--2019.12,湖南省教育廳重點項目:非線性色散偏微分方程保持方程特性的數值方法研究。

        [4]. 2015.1--2017.12,湖南省自科基金面上項目:有限元重構及應用。

        [5]. 2013.1--2015.12,國家自然科學基金青年科學基金:新的重構技術及網格質量對超收斂的影響研究。

        [6]. 2013.9--2015.9,湖南省優秀博士學位論文獲獎作者資助項目:幾類淺水波方程直接間斷有限元方法研究。

        [7]. 2012.1--2015.12,湖南省教育廳優秀青年項目:高精度有限元重構技術與守恒DDG方法。

        [8]. 2012.1--2014.12,湖南省自科基金青年項目:有限元梯度重構方法及超收斂。

       

      參與的科研項目:

        [1]. 2020.1--2023.12,國家自然科學基金面上項目:超材料中電磁場數值模擬的有限元重構技術及自適應有限元方法。

        [2]. 2015.1--2018.12,國家自然科學基金重大研究計劃:相場數學模型及相關數學問題高精度數值方法。

        [3]. 2013.1--2016.12, 國家自然科學基金:超材料數值模擬及應用。

        [4]. 2010.9--2013.9,中德合作項目:四階問題的自適應有限元方法。

        [5]. 2010.1--2013.12,湖南省教育廳重點項目:高質量網格快速生成技術與自適應有限元方法。

       

       

      論文專著


        

              [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.

       

       

      獲獎情況 


      [1]. 2007年, 中國計算數學學會第三屆優秀青年論文競賽一等獎.

      [2]. 2013年, 湖南省優秀博士學位論文.

      [3]. 2014年, 全國優秀博士學位論文提名獎.

      [4]. 2018年, 湖南省普通高校青年骨干教師培養對象

      [5]. 2019年,湖南省自然科學基金杰出青年基金獲得者


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