何文明

姓名

何文明

职称

教授

学位

博士

电子邮箱

He_wenming@aliyun.com

研究方向

偏微分方程数值解

个人主页或

个人微信公众号

主讲课程

高等数学、离散数学、计算方法

教研成果

科研成果

研究领域涉及多尺度方法及其在材料力学中的应用、有限元方法与有限体方法。目前已在计算数学、应用数学与材料力学的SCI杂志（如Science China Mathematics） 上独立或以第一作者身份发表论文40余篇，其中有5篇发在计算数学的三大国际顶级期刊，两篇发在材料力学的国际顶级期刊上。主持三项国家自然科学基金面上项目、两项浙江省自然科学基金面上项目与一项广东省自然科学基金面上项目。

学术论文

[1] Wenming He, Zhimin Zhang, Supconvergence  of  Bi-k Degree Rectangular Elements at Vertexes for the Poisson Problem, Math. Comp. 86(2017),1693–1718

[2] Wenming He, Runchang Lin, and Zhimin Zhang,  Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with constant coefficients, ,SIAM Journal on  Numerical Analysis, 54(2016),2302-2322.

[3] Wenming He, Zhimin Zhang, and Jingsong Zou, Ultraconvergence of high order FEMs  for ellipticproblems with variable coefficients, Numer. Math., 136(2017):215–248

[4] Wenming He, Zhimin Zhang, and Jingsong Zou,Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes, Numer. Math.,138(2018):473-500

[5] Wenming He, Jiangman Shen, and Junzhi Cui, The  Local ultraconvergence for high-degree  Galerkin finite element methods, Journal of Mathematical Analysis and Applications, J. Math. Anal. Appl. 446 (2017) 62–86

[6] Wenming He, Zhimin Zhang, and Ren Zhao, The highest superconvergence  of the tri-linear element for Schrodinger operator with singularity, Journal of Scientific Computing, 66(2016),1-18

[7] Wenming He, Junzhi Cui, and Qiding Zhu, The local superconvergence of the linear finite element method for the Poisson problem, Numerical methods for partial differential  Equations,30 (2014):3, 930-946

[8] Wenming He, Junzhi Cui, and Qiding Zhu,  The local superconvergence of the quadratic triangular element for the Poisson problem in a polygonal domain, Numerical methods for partial differential  Equations, 30(2014), 1854-1876

[9] Wenming He, Xiaofei Guan, and Junzhi Cui,  The Local superconvergence  of the trilinear element  for the three-dimensional Poisson problem, Journal of Mathematical Analysis and Applications 388 (2012):2, 863-872

[10] Wenming, He, Weiqiu Chen,  Local superconvergence of the derivative for tensor-product block FEM, Numerical methods for partial differentional Equations, 28 (2012):2, 457-475.

 [11] Wenming He, A New superconvergence and extrapolation for second order triangular element, Applied Mathematics and Computation, 174 (2006) ,300-315 (SCI)

[12] Wenming He,  Error estimates for finite element method about elliptic problem with singular righthand side,Applied Mathematics and Computation,188 (2007) ,824-832 (SCI)

 [13] Wenming He, High effective finite element algorithm for elliptic partial differential equation, Applied Mathematics and Computation, 187 (2007), 1567-1573(SCI)

[14] Wenming He, Junzhi Cui, The ultraconvergence in high-order Galerkin finite element methods, Submitted to International Journal for Numerical Methods in Engineering

[15] Wenming He, The local ultraconvergence of high-order finite element method for second order elliptic problems with constant coefficients over  a rectangular partition，Numerical method for partial differentional equations,  

[16] Wenming He, Ultraconvergence of the derivative of  high order finite element method for  elliptic problems with constant coefficients, Numerical method  for partial differentional equations,  

个人荣誉

2013年入选浙江省中青年学科带头人