杨伟导师主页
基本信息
姓名: 杨伟
职称: 副教授
单位电话:
电子信箱: yangwei@xtu.edu.cn
办公室: 高等数学教学部
个人主页:
个人简介

杨伟,男,四川成都人,博士,硕士生导师,湘潭大学数学院,讲师。在国际计算数学权威刊物 SIAM Journal on Scientific Computing、SIAM Journal on Applied Mathematics、Mathematics of Computation、Journal of Scientific Computing、Journal of Computational Physic 及Computers and Mathematics with Applications等核心刊物上接受发表学术论文 23 篇,其中被SCI收录 21篇、EI和CSCD各收录 1 篇。主持国家自然科学基金青年项目、湖南省教育厅优秀青年项目、湖南省自科青年项目等4项。主要研究超材料中电磁波传播的数学模型理论与有限元方法,获得

     第三届中国工业与应用数学学会优秀青年学者奖

     湖南省优秀博士学位论文奖

     Student Paper Prize of the 9th East Asia SIAM Conference

     湘潭大学第十八届研究生校长奖特等奖

   湖南省优秀毕业生

   宝钢优秀学生奖

   中国计算数学学会第五届青年优秀论文优秀奖等奖项。


研究方向

主要从事偏微分方程数值解及其应用的研究,主要包括

 

1.      电磁场问题的有限元方法

2.      超材料介质中Maxwell方程的数值方法

3.      电磁波隐身与变换光学材料的设计

4.      自适应有限元、超收敛与后验误差估计

5.      分数阶薛定谔方程的守恒性数值方法

6.      LL方程的自适应有限元方法


科研项目

 

1、主持项目:  

  1. 国家自然科学基金青年项目:超材料介质中电磁波隐身问题的有限元方法,资助金额:23万,2015.01-2017.12.

  2. 湖南省优秀博士学位论文获奖作者资助项目:新型超材料与石墨烯的有限元方法,资助金额:4万,2015.09-2017.12.

  3. 湖南省教育厅优秀青年项目:变换光学材料的数值模拟与设计,资助金额:5万,2015.09--2018.12.

  4. 湖南省博士研究生创新项目:超常材料中Maxwell方程的有限元方法研究,资助金额:2万,2011-2012

 

2、参加科研项目:

  1.  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,2015.01--2018.12350万;

  2. 湖南省军民融合产业发展专项资金项目:电磁隐身材料的数值模拟2013.01--2016.12100万;

  3. 国家自然科学基金面上项目:超材料数值模拟及应用,2013-201660万;

  4.  国家自科基金青年项目:新的重构技术及网格质量对超收敛的影响研究,2013-201522万;

  5. 国家自科基金青年项目:非线性volterra型积分微分方程的高精度谱方法,2014-201622万;

  6. 教育部博士点基金新教师类:移动界面问题中的自适应界面拟合网格快速生成及有限元算法研究,2014-20164万;

  7. 省自然科学基金青年项目:有限元梯度重构方法及超收敛,2012-20143万;

  8. 省教育厅青年项目:高精度有限元重构技术与守恒DDG方法,2012-20155万;

  9. 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,2010-20138万;

  10. 国家自科数学天元青年基金: 求解带奇性时间分数阶偏微分方程的移动网格方法,2012-20123万;

 

论文专著

  1.  Wei Yang, J. Li and Y. Huang, Finite element time domain simulations for electromagnetic cloaks with arbitrary geometries, sumbitted.

  2.  Wei Yang, D. Wang and L. Yang,  A stable numerical method for space fractional Landau-Lifshitz equations, Appl. Math. Lett., 61, 149- 155, 2016.(二区)

  3. Y. Huang, J. Li, and Wei Yang, Theoretical and numerical analysis of a non-local dispersion model for light interaction with metallic nanostructures, Computers and Mathematics with Applications, 2016, 72(4), 921-932.(一区)

  4.   Wei Yang, J. Li, and Y. Huang, Modeling and analysis of the optical black hole in metamaterials by the finite element time-domain method, Computer Methods in Applied Mechanics and Engineering, 2016, 304, 501-520.(一区)

  5. Wei Yang, Y. Huang, and J. Li, Developing a time-domain finite element method for the Lorentz metamaterial model and applications, Journal of Scientific Computing, 68, 438-463. (一区)

  6. J. Li, Y. Huang, and Wei Yang, Mathmatical analysis and finite element simulation of a magnetized ferrite model, Journal of Computational and Applied Mathematics, 292(15), 279-291, 2016.(二区)

  7. J. Li, Y. Huang, Wei Yang, Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks, Mathematics of Computation, 84, 543-562, 2015. (一区)

  8. Y. Huang, J. Li, C. Wu, Wei Yang, Superconvergence analysis for linear tetrahedral edge elements, Journal of Scientific Computing, 62(1), 122-145, 2015. (一区)

  9. D. Wang, A. Xiao and Wei YangMaximum-norm error analysis of a difference scheme for the space fractional CNLS, Applied Mathematics and Computation, 2015, 257, 241-251. (一区)

  10. Y. Yang, Y. Chen, Y. Huang, Wei Yang, Convergence analysis of Legendre collocation methods for nonlinear volterra type integro-equations, Advances in Applied Mathematics and Mechanics, 74(1),74-88, 2015. (四区)

  11.  Jichun Li, Yunqing Huang, Wei Yang, and Aihua Wood, Mathematical analysis and time domain finite element simulation of carpet cloak, SIAM Journal on Applied Mathematics, 74(4), 1136-1151, 2014. (一区)

  12. Yunqing Huang, Wei Yang, Nianyu Yi, Superconvergence analysis for the explicit polynomial recovery method,  Journal of Computational and Applied Mathematics, 265, 187-198,2014. (二区)

  13.  Y. Huang, J. Li, Wei Yang, Mathematical analysis of a PML model obtained with stretched coordinates and its application to backward wave propagation in metamaterials, Numerical Methods for Partial Differential Equations, 30(5), 1558-1574, 2014. (二区)

  14. D. Wang, A. Xiao and Wei Yang, A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrodinger equations. Journal of Computational Physics, 2014, 272: 644-655. (一区)

  15.  Yunqing Huang, Jichun Li, Wei Yang, Modeling backward wave propagation in metamaterials by the finite element time domain method, SIAM Journal on Scientific Computing, 35(1), B248-B274, 2013. (一区)

  16. Jichun Li, Yunqing Huang, Wei Yang, An adaptive edge finite element method for electromagnetic cloaking simulation, Journal of Computational Physics, Volume 249, 216-232, 2013. (一区)

  17.  Dongling Wang, Aiguo Xiao, Wei Yang, Crank-Nicolson Difference Scheme for Space Fractional Coupled Nonlinear Schr?dinger Equations, Journal of Computational Physics, Volume 242, 670-681, 2013. (一区)

  18.  Jichun Li, Yunqing Huang, Wei Yang, Numerical Study of the Plasma-Lorentz Model in Metamaterials, Journal of Scientific Computing, Vol.54, 121-144, 2013. (一区)

  19.  Jichun Li, Yunqing Huang, Wei Yang Developing a time-domain finite-element method for modeling of electromagnetic cylindrical cloaksJournal of Computational Physics, 231(7), 2880-2891, 2012. (一区)

  20. Yunqing Huang, Jichun Li, Wei Yang, Solving metamaterial Maxwell’s equations via a vector wave integro-differential equation, Computers and Mathematics with Applications, 63(12), 1597-1606, 2012. (一区)

  21. Yunqing Huang, Jichun Li, Wei Yang, Interior penalty DG methods for Maxwell’s equations in dispersive media, Journal of Computational Physics,230(12), 4559-4570, 2011. (一区)

  22. Yunqing Huang, Jichun Li, Wei Yang, Superconvergence of mixed finite element approximations to 3-D Maxwell’s equations in metamaterialsJournal of Computational Physics, 230(22), 8275-8289, 2011. (一区)

  23. Yunqing Huang, Wei Yang, Nianyu Yi, A Posteriori Error Estimates Based on the Explicit Polynomial RecoveryNatural Science Journal of Xiangtan University, 33 (3), 1-12, 2011. (CSCD

  24.  Yunqing Huang, Huayi Wei, Wei Yang, Nianyu Yi, A New a Posteriori Error Estimate for Adaptive Finite Element MethodsDomain Decomposition Methods in Science and Engineering XIX, Series: Lecture Notes in Computational Science and Engineering, Vol. 78,Huang, Y.; Kornhuber, R.; Widlund, O.; Xu, J. (Eds.),1st Edition., XV, 460 p., Hardcover, ISBN: 978-3-642-11303-1, 2011. (EI

 

学术交流

  1.  “微分方程:模型、理论和计算”, 内地与香港青年学者论坛,201677-8日,深圳;

  2.  “第二届偏微分方程数值方法青年学者会2016718-20日,北京大学;(邀请报告)

  3.  The 8th International Conference on Inverse Problems and Related Topics, 2016627- 71日,Ewha Womans Unversity, Seoul, Korea.

  4. The 11th East Asia SIAM Conference, 2016620-22, University of Macau, Macao SAR, China.

  5. 8th International Congress on Industrial and Applied Mathematics, 2015 810-14日,北京国家会议中心;(小组报告)

  6. Workshop on Scattering and Inverse Scattering Problems2014129-1211日,浙江大学,杭州;(邀请报告)

  7. The Ninth International Conference on Scientific Computing and Applications2014611-1115日,西北工业大学,西安;

  8. 第十二届全国高校计算数学年会,20131019-1023日,长沙

  9. 湖南省数学会2013年年会暨第25届大学数学研讨会,2013126-127日,湘南学院,郴州;

  10.  The 9th East Asia SIAM Conference and The 2nd Conference on Industrial and Applied Mathematics, June 18 -20, 2013, Institut Teknologi Bandung, Indonesia(大会报告);

  11. 国际科技合作项目第二次学术研讨会,湘潭,2012127-9日(小组报告);

  12.  湖南省第五届研究生创新论坛数学与统计分论坛,湘潭大学,20121126-27日(报告题目:反向波介质中电磁场的有限元分析);

  13. 第二届空气动力学中科学计算国际会议(The 2nd International Conference on Scientific Computing in Aerodynamics),北京航空航天大学,20121018-20日,(小组报告);

  14. 偏微分方程的快速算法博士生研讨会,北京大学,2012810-11日(小组报告);

  15. 参加第九届中国计算数学年会会议,2011919-22日,郑州大学,(小组报告);