070102-计算数学

微分方程数值解，多尺度建模与计算

1997-09--2000-07   中国科学院数学与系统科学研究院   理学博士

   

2000-08~现在, 中国科学院数学与系统科学研究院, 研究员/研究生/理学博士

2019-08-04-今,中国数学会计算数学分会秘书长,

数学物理方法
应用偏微分方程选讲
应用偏微分方程

   

（1） 第七届钟家庆数学奖, , 其他, 2005

   

[1] Liao, Yulei, Ming, Pingbing. Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2021, 29(5): 1365-1384, http://dx.doi.org/10.4208/cicp.OA-2020-0219.
[2] Li, Hongliang, Ming, Pingbing, Wang, Huiyu. H$^2-$ Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model. 2021, http://arxiv.org/abs/2104.08590.
[3] Xu, Yun, Ming, Pingbing, Chen, Jun. A phase field framework for dynamic adiabatic shear banding. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS[J]. 2020, 135: http://dx.doi.org/10.1016/j.jmps.2019.103810.
[4] Li, Hongliang, Ming, Pingbing, Shi, Zhongci. THE QUADRATIC SPECHT TRIANGLE. JOURNAL OF COMPUTATIONAL MATHEMATICS[J]. 2020, 38(1): 103-124, http://lib.cqvip.com/Qikan/Article/Detail?id=7101114622.
[5] Li, Ruo, Ming, Pingbing, Sun, Ziyuan, Yang, Zhijian. An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element. JOURNAL OF SCIENTIFIC COMPUTING[J]. 2019, 80(1): 268-288, http://ir.amss.ac.cn/handle/2S8OKBNM/34910, http://www.irgrid.ac.cn/handle/1471x/6870905, http://ir.amss.ac.cn/handle/2S8OKBNM/34911, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000468983100010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[6] Liao, Yulei, Ming, Pingbing. A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS[J]. 2019, 11(6): 1263-1286, http://ir.amss.ac.cn/handle/2S8OKBNM/35736, http://www.irgrid.ac.cn/handle/1471x/6870935, http://ir.amss.ac.cn/handle/2S8OKBNM/35737, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000487977100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[7] Huang, Yufang, Lu, Jianfeng, Ming, Pingbing. A Concurrent Global-Local Numerical Method for Multiscale PDEs. JOURNAL OF SCIENTIFIC COMPUTING[J]. 2018, 76(2): 1188-1215, https://www.webofscience.com/wos/woscc/full-record/WOS:000436253800021.
[8] Luo, Tao, Ming, Pingbing, Xiang, Yang. From Atomistic Model to the PeierlsNabarro Model with gamma-surface for Dislocations. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS[J]. 2018, 230(2): 735-781, https://www.webofscience.com/wos/woscc/full-record/WOS:000441282400009.
[9] Li, Hongliang, Ming, Pingbing. Analysis of Geometrically Consistent Schemes with Finite Range Interaction. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2017, 22(5): 1333-1361, https://www.webofscience.com/wos/woscc/full-record/WOS:000408436300006.
[10] 明平兵. Two robust nonconforming H2-elements for a linear strain gradient elasticity. Numerische Mathematik. 2017, [11] Li Hongliang, Ming Pingbing. New Basis Function of a Strain Gradient Finite Element. Advances in Mathematics (China)[J]. 2016, 45(6): 955-960, [12] Ming, Pingbing, Xu, Xianmin. A MULTISCALE FINITE ELEMENT METHOD FOR OSCILLATING NEUMANN PROBLEM ON ROUGH DOMAIN. MULTISCALE MODELING & SIMULATION[J]. 2016, 14(4): 1276-1300, https://www.webofscience.com/wos/woscc/full-record/WOS:000391843200004.
[13] Li, Xiantao, Ming, Pingbing. A STUDY ON THE QUASI-CONTINUUM APPROXIMATIONS OF A ONE-DIMENSIONAL FRACTURE MODEL. MULTISCALE MODELING & SIMULATION[J]. 2014, 12(3): 1379-1400, https://www.webofscience.com/wos/woscc/full-record/WOS:000343130500016.
[14] 明平兵. Convergence of a force-based hybrid method with planar interface. SIAM J. Numer. Anal.. 2014, [15] 明平兵. On the effect of ghost force in quasi continuum method: dynamic problem in one dimension. Communication in Computational Physicscation in Computational Physics. 2014, [16] Long Cui, PingBing Ming. The effect of ghost forces for a quasicontinuum method in three dimension. Science China Mathematics,[J]. 2013, 56(12): 2571-2589, https://www.webofscience.com/wos/woscc/full-record/WOS:000328279100009.
[17] Lu, Jianfeng, Ming, Pingbing. Convergence of a Force-Based Hybrid Method in Three Dimensions. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS[J]. 2013, 66(1): 83-108, https://www.webofscience.com/wos/woscc/full-record/WOS:000310426200003.
[18] Li, Ruo, Ming, Pingbing, Tang, Fengyang. AN EFFICIENT HIGH ORDER HETEROGENEOUS MULTISCALE METHOD FOR ELLIPTIC PROBLEMS. MULTISCALE MODELING & SIMULATION[J]. 2012, 10(1): 259-283, https://www.webofscience.com/wos/woscc/full-record/WOS:000302183800012.
[19] Chen, Jingrun, Ming, Pingbing. An Efficient Multigrid Method for Molecular Mechanics Modeling in Atomic Solids. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2011, 10(1): 70-89, https://www.webofscience.com/wos/woscc/full-record/WOS:000298763400004.
[20] Braess, Dietrich, Ming, Pingbing, Shi, Zhongci. SHEAR LOCKING IN A PLANE ELASTICITY PROBLEM AND THE ENHANCED ASSUMED STRAIN METHOD. SIAM JOURNAL ON NUMERICAL ANALYSIS[J]. 2010, 47(6): 4473-4491, https://www.webofscience.com/wos/woscc/full-record/WOS:000277836100020.
[21] Du, Rui, Ming, Pingbing. HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES. COMMUNICATIONS IN MATHEMATICAL SCIENCES[J]. 2010, 8(4): 863-885, https://www.webofscience.com/wos/woscc/full-record/WOS:000283985000004.
[22] 明平兵. Convergence of heterogeneous multiscale method for elliptic problem with nonsmooth coefficients. Multiscale Modeling and Simulation. 2010, [23] Ming, Pingbing, Yang, Jerry Zhijian. ANALYSIS OF A ONE-DIMENSIONAL NONLOCAL QUASI-CONTINUUM METHOD. MULTISCALE MODELING & SIMULATION[J]. 2009, 7(4): 1838-1875, https://www.webofscience.com/wos/woscc/full-record/WOS:000270192800014.
[24] Xiang, Yang, Wei, He, Ming, Pingbing, E, Weinan. A generalized Peierls-Nabarro model for curved dislocations and core structures of dislocation loops in Al and Cu. ACTA MATERIALIA[J]. 2008, 56(7): 1447-1460, https://www.webofscience.com/wos/woscc/full-record/WOS:000255305200005.
[25] 鄂维南. Cauchy-Born rule and the stability of crystalline solids: Static problems. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS[J]. 2007, 183(2): 241-297, https://www.webofscience.com/wos/woscc/full-record/WOS:000244023300003.
[26] Liu, Fang, Ming, Pingbing, Li, Ju. Ab initio calculation of ideal strength and phonon instability of graphene under tension. PHYSICAL REVIEW B[J]. 2007, 76(6): https://www.webofscience.com/wos/woscc/full-record/WOS:000249155200035.
[27] Ming, Pingbing, Zhang, Pingwen. Analysis of the heterogeneous multiscale method for parabolic homogenization problems. MATHEMATICS OF COMPUTATION[J]. 2006, 76(257): 153-177, https://www.webofscience.com/wos/woscc/full-record/WOS:000241791500008.
[28] Ming, Pingbing, Shi, ZhongCi. Analysis of some low order quadrilateral Reissner-Mindlin plate elements. MATHEMATICS OF COMPUTATION[J]. 2006, 75(255): 1043-1065, https://www.webofscience.com/wos/woscc/full-record/WOS:000239181800002.
[29] Ming, PB, Yue, XY. Numerical methods for multiscale elliptic problems. JOURNAL OF COMPUTATIONAL PHYSICS[J]. 2006, 214(1): 421-445, http://dx.doi.org/10.1016/j.jcp.2005.09.024.
[30] Ming, PB, Shi, ZC. Two nonconforming quadrilateral elements for the Reissner-Mindlin plate. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES[J]. 2005, 15(10): 1503-1517, https://www.webofscience.com/wos/woscc/full-record/WOS:000232562600004.
[31] 鄂维南. Analysis of the heterogeneous multiscale method for elliptic homogenization problems. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY[J]. 2005, 18(1): 121-156, https://www.webofscience.com/wos/woscc/full-record/WOS:000225793900003.
[32] 明平兵. A finite element method for nearly incompressible elasticity problem. 2005, [33] 明平兵. Optimal L^2 error bounds for MITC3 type elements. Numerische Mathematik. 2002, [34] Ming, PB, Shi, ZC. Nonconforming rotated Q(1) element for Reissner-Mindlin plate. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES[J]. 2001, 11(8): 1311-1342, https://www.webofscience.com/wos/woscc/full-record/WOS:000171998200001.

   

（ 1 ） 闭锁问题, 主持, 国家级, 2009-01--2011-12
（ 2 ） 材料纳米力学的连续与准连续表征理论与方法研究, 参与, 国家级, 2010-01--2013-12
（ 3 ） 计算数学与科学工程计算若干前沿问题研究, 参与, 国家级, 2011-01--2013-12
（ 4 ） 复杂结构及其相变的多尺度模型与算法, 参与, 国家级, 2013-01--2016-12
（ 5 ） 固体多尺度建模与计算, 主持, 国家级, 2015-01--2019-12
（ 6 ） 计算数学与科学工程计算若干前沿问题研究, 参与, 国家级, 2014-01--2016-12
（ 7 ） 复杂结构及其相变的多尺度模型与算法, 参与, 国家级, 2017-01--2019-12
（ 8 ） 应变梯度弹性理论多尺度建模与计算方法研究, 主持, 国家级, 2020-01--2023-12

（1）Issues in Multiscale Modeling and Methods of Solids   2016-05-08

已指导学生

汪康  硕士研究生  070102-计算数学  

陈景润  博士研究生  070102-计算数学  

杜锐  博士研究生  070102-计算数学  

王环  硕士研究生  070102-计算数学  

李鸿亮  博士研究生  070102-计算数学  

罗飞  硕士研究生  070102-计算数学  

崔珑  博士研究生  070102-计算数学  

黄玉芳  博士研究生  070102-计算数学  

现指导学生

李波  博士研究生  070102-计算数学  

王慧雨  博士研究生  070102-计算数学  

徐岚  博士研究生  070102-计算数学  

李翔  博士研究生  070102-计算数学  

宋思圻  博士研究生  070102-计算数学