杨伟导师主页
基本信息
姓名: 杨伟
职称: 教授
单位电话:
电子信箱: yangwei@xtu.edu.cn
办公室: 数学院南楼209
个人主页:
个人简介

杨伟,男,四川成都人,博士,博士生导师,教授。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30篇,其中被SCI收录 28篇、EI和CSCD各收录 1 篇。目前主持国家自然科学基金面上项目1项、湖南省教育厅重点项目1项;已结题国家自科基金青年项目1项,湖南省基金青年项目1项,湖南省优秀博士资助项目1项,湖南省教育厅优秀青年项目1;现参加国家自然科学基金重大研究计划和面上项目各1,参加已结题的国家自然科学基金重大研究计划1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,获得以下奖励:

      

       获第三届中国工业与应用数学学会优秀青年学者奖(2016年)

第九届东亚工业和应用数学学会优秀学生论文奖(2013年)

湖南省优秀博士学位论文(2015年)

湘潭大学教师课堂教学竞赛三等奖(2018年)

中国计算数学学会第五届青年优秀论文优秀奖(2011年)

湖南省普通高校“先锋工程”“双带头人”标兵(2019年)

湘潭大学优秀共产党员称号(2018年)

湘潭大学湘潭大学第二十三届研究生校长奖优秀奖(2018年)(指导老师)

湘潭大学第二十届研究生校长奖特等奖(2019)(指导老师)



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] 国家自然科学基金面上项目:电磁超材料中非线性效应的数学建模与有限元方法,2018.01-2021.12;

[2] 湖南省教育厅重点项目:信息开放式电磁隐身装置的时域模型与有限元方法,2018.09-2021.12;

[3] 湖南省自然科学基金项目:变换光学介质中的自适应有限元方法,2017.01-2019.12(已结题);

[4] 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,2015.01-2017.12(已结题);

[5] 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,2015.09--2018.12.(已结题);

[6] 湖南省普通高等学校教学改革研究项目:信息与计算科学专业人才的创新性培养教学改革研究,2016-2019(已结题);


2、 参加科研项目: 

[1] 国家自然科学基金重大研究计划:磁流体波传播问题的建模与计算,2017.01--2019.12;

[2] 国家自然科学基金面上项目:非线性时间分数阶方程的长时间稳定的数值方法,2019.01-2022.12;

[3] 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--2018.12(已结题);

[4] 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--2016.12,100万(已结题);


论文专著

[1] He Bin, Wei Yang and Fuhao Liu, The material parameter design and finite element simulation of the quadrilateral thermal cloak device, Applied Mathematics Letters, Vol.94, pp. 99-104, 2019.08

[2] Yunqing Huang, Wei Yang, Hao Wang and Jintao Cui, Adaptive operator splitting finite element method for Allen-Cahn equation, Numerical Methods for Partial Differential Equations,Vol.35, pp.1290-1300, 2019.01. 

[3] Wei Yang, Lele Liu and Yunqing Huang, The FDTD simulation for the performance of dispersive cloak devices, Applied Mathematics Letters,Vol. 88, pp.171-178, 2019.02

[4] Wei Yang, Jichun Li, Yunqing Huang and Bin He, Developing finite element methods for simulating transformation optics devices with metamaterials, Communications in Computational Physics, Vol.25(1), pp.135-154, 2019.01.

[5] Wei Yang, Luling Cao, Yunqing Huang and Jintao Cui, A new a posteriori error estimate for the interior penalty discontinuous Galerkin method, International Journal of Numerical Analysis and Modeling, Vol.16(2), pp.210-224, 2019.

[6] Wei Yang, Jichun Li and Yunqing Huang, Mathematical analysis and finite element time domain simulations of arbitrary star-shaped ectromagnetic cloaks, SIAM Journal on Numerical Analysis, 56(1), pp.136-159, 2018 .

[7] Liang Liu, Lixin Ge, Peng Hu, Hong Xiang, Wei Yang, Qihou Liu and Dezhuan Han, Toroidal dipolar response in plasmonic nanoparticle clusters, Journal of Physics D: Applied Physics, Vol.51(3), ) 035106 (6pp), 2018.01.(非第一单位论文)

[8] 杨伟、刘乐乐,不同方向入射波的电磁隐身仿真,数值计算与计算机应用,Vol.39(4),pp.274-287, 2018年12月。

[9] Wei Yang, Dongling Wang and Lei Yang, A stable numerical method for space fractional Landau-Lifshitz equations, Applied Mathematics Letters, Vol.61, pp.149-155, 2016.11.

[10] Yunqing Huang, Jichun 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, Vol.72(4), pp.921-932, 2016.08.

[11] Wei Yang, Jichun Li and Yunqing 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 , Vol.304, pp.501-520, 2016.06.

[12] Wei Yang, Yunqing Huang and Jichun Li, Developing a time-domain finite element method for the Lorentz metamaterial model and applications, Journal of Scientific Computing,Vol.68(2), pp.438-463,2016.08.

[13] Jichun Li, Yunqing Huang and Wei Yang, Mathmatical analysis and finite element simulation of a magnetized ferrite model, Journal of Computational and Applied Mathematics, Vol.292, pp.279-291, 2016.01.

[14] Jichun Li, Yunqing Huang and Wei Yang, Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks, Mathematics of Computation,Vol.84(292), pp.543-562, 2015.03.

[15] Yunqing Huang, Jichun Li, Chao Wu and Wei Yang, Superconvergence analysis for linear tetrahedral edge elements, Journal of Scientific Computing, Vol.62(1), pp.122-145, 2015.01.

[16] Dongling Wang, Aiguo Xiao and Wei Yang, Maximum-norm error analysis of a difference scheme for the space fractional CNLS, Applied Mathematics and Computation, Vol.257, pp.241-251, 2015.04.

[17] Yin Yang, Yanping Chen, Yunqing Huang and Wei Yang, Convergence analysis of Legendre collocation methods for nonlinear volterra type integro-equations, Advances in Applied Mathematics and Mechanics, Vol.74(1), pp.74-88, 2015.02.

[18] 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, Vol.74(4), pp.1136-1151, 2014.

[19] Yunqing Huang, Wei Yang and Nianyu Yi, Superconvergence analysis for the explicit polynomial recovery method, Journal of Computational and Applied Mathematics, Vol.265, pp.187-198, 2014.08.

[20] Yunqing Huang, Jichun Li and 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, Vol.30(5), pp.1558-1574, 2014.09.

[21] Dongling Wang, Aaiguo Xiao and Wei Yang, A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schr?dinger equations, Journal of Computational Physics,Vol.272, pp.644-655, 2014.09.

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

[23] Jichun Li, Yunqing Huang and Wei Yang, An adaptive edge finite element method for electromagnetic cloaking simulation, Journal of Computational Physics, Vol.249, pp.216-232, 2013.09.

[24] Dongling Wang, Aiguo Xiao and Wei Yang, Crank-Nicolson Difference Scheme for Space Fractional Coupled Nonlinear Schr?dinger Equations, Journal of Computational Physics, Vol.242, pp.670-681, 2013.06.

[25] Jichun Li, Yunqing Huang and Wei Yang, Numerical Study of the Plasma-Lorentz Model in Metamaterials, Journal of Scientific Computing, Vol.54(1), pp.121-144, 2013.01.

[26] Jichun Li, Yunqing Huang and Wei Yang, Developing a time-domain finite-element method for modeling of electromagnetic cylindrical cloaks, Journal of Computational Physics, Vol.231(7), pp.2880-2891, 2012.04.

[27] Yunqing Huang, Jichun Li and Wei Yang, Solving metamaterial Maxwell’s equations via a vector wave integro-differential equation, Computers and Mathematics with Applications, Vol.63(12), pp.1597-1606, 2012.06.

[28] Yunqing Huang, Jichun Li and Wei Yang, Interior penalty DG methods for Maxwell’s equations in dispersive media, Journal of Computational Physics, Vol.230(12), pp.4559-4570, 2011.06.

[29] Yunqing Huang, Jichun Li, Wei Yang and Shuyu Sun, Superconvergence of mixed finite element approximations to 3-D Maxwell’s equations in metamaterials, Journal of Computational Physics, Vol.230(22), pp.8275-8289, 2011.09.

[30] Yunqing Huang, Wei Yang and Nianyu Yi, A Posteriori Error Estimates Based on the Explicit Polynomial Recovery, Natural Science Journal of Xiangtan University, Vol.33(3), pp.1-12, 2011.09.

[31] Yunqing Huang, Huayi Wei and Wei Yang, Nianyu Yi, A New a Posteriori Error Estimate for Adaptive Finite Element Methods, Domain Decomposition Methods in Science and Engineering XIX(Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 78)), pp 63-74, 2011. (EI)