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] Li, Hongliang, Ming, Pingbing. An asymptotic-preserving finite element method for a forth order singular perturbation problem with boundary layers. APPLIED MATHEMATICS LETTERS[J]. 2024, 第 2 作者149: http://dx.doi.org/10.1016/j.aml.2023.108923.
[2] Guo Yixiao, Ming Pingbing. A Deep Learning Method for Computing Eigenvalues of the Fractional Schrodinger Operator. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY[J]. 2024, 第 2 作者  通讯作者  37(2): 391-412, http://dx.doi.org/10.1007/s11424-024-3250-9.
[3] Ming, Pingbing, Song, Siqi. ERROR ESTIMATE OF MULTISCALE FINITE ELEMENT METHOD FOR PERIODIC MEDIA REVISITED. MULTISCALE MODELING & SIMULATION[J]. 2024, 第 1 作者  通讯作者  22(1): 106-124, http://dx.doi.org/10.1137/22M1511060.
[4] 李翔, 廖钰蕾, 明平兵. A Pre-Training Deep Learning Method for Simulating the Large Bending Deformation of Bilayer Plates. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS[J]. 2024, 第 3 作者  通讯作者  14(3): 551-578, 
[5] Multiscale Modeling and Simulations. 2024, 第 1 作者  通讯作者  
[6] Liao, Yulei, Ming, Pingbing, Xu, Yun. Taylor-Hood Like Finite Elements for Nearly Incompressible Strain Gradient Elasticity Problems. JOURNAL OF SCIENTIFIC COMPUTING[J]. 2023, 第 2 作者  通讯作者  95(1): http://dx.doi.org/10.1007/s10915-023-02135-3.
[7] Annals of Applied Mathematics. 2023, 第 2 作者  通讯作者  
[8] 明平兵. Specht triangles approximation of large bending isometries. Annals of Applied Mathematics[J]. 2023, 第 1 作者  通讯作者  39(4): 544-569, 
[9] Meng, Yan, Ming, Pingbing. A New Function Space from Barron Class and Application to Neural Network Approximation. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2022, 第 2 作者  通讯作者  32(5): 1361-1400, http://dx.doi.org/10.4208/cicp.OA-2022-0151.
[10] Ming, Pingbing, Song, Siqi. A Nitsche Hybrid Multiscale Method with Non-matching Grids. JOURNAL OF SCIENTIFIC COMPUTING[J]. 2022, 第 1 作者  通讯作者  91(2): http://dx.doi.org/10.1007/s10915-022-01817-8.
[11] Liao, Yulei, Ming, Pingbing. Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2021, 第 2 作者  通讯作者  29(5): 1365-1384, http://dx.doi.org/10.4208/cicp.OA-2020-0219.
[12] Li, Hongliang, Ming, Pingbing, Wang, Huiyu. H$^2-$ Korn's Inequality and the Nonconforming Elements for The Strain Gradient Elastic Model. 2021, 第 2 作者http://arxiv.org/abs/2104.08590.
[13] 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, 第 2 作者135: 19, http://dx.doi.org/10.1016/j.jmps.2019.103810.
[14] Li, Hongliang, Ming, Pingbing, Shi, Zhongci. THE QUADRATIC SPECHT TRIANGLE. JOURNAL OF COMPUTATIONAL MATHEMATICS[J]. 2020, 第 2 作者38(1): 103-124, http://lib.cqvip.com/Qikan/Article/Detail?id=7101114622.
[15] Li, Ruo, Ming, Pingbing, Sun, Zhiyuan, Yang, Fanyi, Yang, Zhijian. A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM. JOURNAL OF COMPUTATIONAL MATHEMATICS[J]. 2019, 第 2 作者37(4): 524-540, http://lib.cqvip.com/Qikan/Article/Detail?id=7002400508.
[16] 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, 第 2 作者  通讯作者  80(1): 268-288, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000468983100010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[17] Liao, Yulei, Ming, Pingbing. A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS[J]. 2019, 第 2 作者  通讯作者  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.
[18] Huang, Yufang, Lu, Jianfeng, Ming, Pingbing. A Concurrent Global-Local Numerical Method for Multiscale PDEs. JOURNAL OF SCIENTIFIC COMPUTING[J]. 2018, 第 3 作者  通讯作者  76(2): 1188-1215, https://www.webofscience.com/wos/woscc/full-record/WOS:000436253800021.
[19] Luo Tao, Ming Pingbing, Xiang Yang. From Atomistic Model to the Peierls-Nabarro Model with -surface for Dislocations. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS[J]. 2018, 第 2 作者230(2): 735-781, 
[20] 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, 第 2 作者230(2): 735-781, https://www.webofscience.com/wos/woscc/full-record/WOS:000441282400009.
[21] Li, Hongliang, Ming, Pingbing. Analysis of Geometrically Consistent Schemes with Finite Range Interaction. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2017, 第 2 作者  通讯作者  22(5): 1333-1361, https://www.webofscience.com/wos/woscc/full-record/WOS:000408436300006.
[22] 明平兵. Two robust nonconforming H2-elements for a linear strain gradient elasticity. Numerische Mathematik. 2017, 第 1 作者  通讯作者  
[23] Li, Hongliang, Ming, Pingbing, Shi, Zhongci. Two robust nonconforming -elements for linear strain gradient elasticity. NUMERISCHE MATHEMATIK[J]. 2017, 第 2 作者  通讯作者  137(3): 691-711, https://www.webofscience.com/wos/woscc/full-record/WOS:000413010600006.
[24] 李鸿亮, 明平兵. 一个应变梯度有限元的新基函数. 数学进展[J]. 2016, 第 2 作者45(6): 955-960, 
[25] 李鸿亮, 明平兵. 一个应变梯度有限元的新基函数. 数学进展[J]. 2016, 第 2 作者955-960, 
[26] Ming, Pingbing, Xu, Xianmin. A MULTISCALE FINITE ELEMENT METHOD FOR OSCILLATING NEUMANN PROBLEM ON ROUGH DOMAIN. MULTISCALE MODELING & SIMULATION[J]. 2016, 第 1 作者  通讯作者  14(4): 1276-1300, https://www.webofscience.com/wos/woscc/full-record/WOS:000391843200004.
[27] Li, Xiantao, Ming, Pingbing. A STUDY ON THE QUASI-CONTINUUM APPROXIMATIONS OF A ONE-DIMENSIONAL FRACTURE MODEL. MULTISCALE MODELING & SIMULATION[J]. 2014, 第 2 作者12(3): 1379-1400, https://www.webofscience.com/wos/woscc/full-record/WOS:000343130500016.
[28] Li, Xiantao, Ming, Pingbing. On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2014, 第 2 作者  通讯作者  15(3): 647-676, https://www.webofscience.com/wos/woscc/full-record/WOS:000328283100004.
[29] Chen, Jingrun, Ming, Pingbing, Yang, Jerry Zhijian. A Constrained Cauchy-Born Elasticity Accelerated Multigrid Method for Nanoindentation. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2014, 第 2 作者15(2): 470-486, https://www.webofscience.com/wos/woscc/full-record/WOS:000328282600007.
[30] 明平兵. Convergence of a force-based hybrid method with planar interface. SIAM J. Numer. Anal.. 2014, 第 1 作者
[31] 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, 第 1 作者  通讯作者  
[32] Lu, Jianfeng, Ming, Pingbing. STABILITY OF A FORCE-BASED HYBRID METHOD WITH PLANAR SHARP INTERFACE. SIAMJOURNALONNUMERICALANALYSIS[J]. 2014, 第 2 作者52(4): 2005-2026, https://www.webofscience.com/wos/woscc/full-record/WOS:000341571300023.
[33] Long Cui, PingBing Ming. The effect of ghost forces for a quasicontinuum method in three dimension. SCIENCE CHINA MATHEMATICS,[J]. 2013, 第 2 作者  通讯作者  56(12): 2571-2589, https://www.webofscience.com/wos/woscc/full-record/WOS:000328279100009.
[34] Cui Long, Ming PingBing. The effect of ghost forces for a quasicontinuum method in three dimension. SCIENCE CHINA-MATHEMATICS[J]. 2013, 第 2 作者  通讯作者  56(12): 2571-2589, https://www.webofscience.com/wos/woscc/full-record/WOS:000328279100009.
[35] Lu, Jianfeng, Ming, Pingbing. Convergence of a Force-Based Hybrid Method in Three Dimensions. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS[J]. 2013, 第 2 作者66(1): 83-108, https://www.webofscience.com/wos/woscc/full-record/WOS:000310426200003.
[36] Chen, Jingrun, Ming, Pingbing. GHOST FORCE INFLUENCE OF A QUASICONTINUUM METHOD IN TWO DIMENSION. JOURNAL OF COMPUTATIONAL MATHEMATICS[J]. 2012, 第 2 作者30(6): 657-683, http://ir.amss.ac.cn/handle/2S8OKBNM/37532, http://www.irgrid.ac.cn/handle/1471x/6870967, http://ir.amss.ac.cn/handle/2S8OKBNM/37533.
[37] Li, Ruo, Ming, Pingbing, Tang, Fengyang. AN EFFICIENT HIGH ORDER HETEROGENEOUS MULTISCALE METHOD FOR ELLIPTIC PROBLEMS. MULTISCALE MODELING & SIMULATION[J]. 2012, 第 2 作者10(1): 259-283, https://www.webofscience.com/wos/woscc/full-record/WOS:000302183800012.
[38] Chen, Jingrun, Ming, Pingbing. An Efficient Multigrid Method for Molecular Mechanics Modeling in Atomic Solids. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2011, 第 2 作者  通讯作者  10(1): 70-89, https://www.webofscience.com/wos/woscc/full-record/WOS:000298763400004.
[39] 明平兵. 一维非局部准连续集方法的分析. 科学中国人[J]. 2010, 第 1 作者54-54, http://lib.cqvip.com/Qikan/Article/Detail?id=33521031.
[40] Du, Rui, Ming, Pingbing. CONVERGENCE OF THE HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH NONSMOOTH MICROSTRUCTURES. MULTISCALE MODELING & SIMULATION[J]. 2010, 第 2 作者8(5): 1770-1783, https://www.webofscience.com/wos/woscc/full-record/WOS:000285509300009.
[41] 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, 第 2 作者47(6): 4473-4491, https://www.webofscience.com/wos/woscc/full-record/WOS:000277836100020.
[42] Du, Rui, Ming, Pingbing. HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES. COMMUNICATIONS IN MATHEMATICAL SCIENCES[J]. 2010, 第 2 作者8(4): 863-885, https://www.webofscience.com/wos/woscc/full-record/WOS:000283985000004.
[43] 明平兵. Convergence of heterogeneous multiscale method for elliptic problem with nonsmooth coefficients. Multiscale Modeling and Simulation. 2010, 第 1 作者  通讯作者  
[44] Ming, Pingbing, Yang, Jerry Zhijian. ANALYSIS OF A ONE-DIMENSIONAL NONLOCAL QUASI-CONTINUUM METHOD. MULTISCALE MODELING & SIMULATION[J]. 2009, 第 1 作者  通讯作者  7(4): 1838-1875, https://www.webofscience.com/wos/woscc/full-record/WOS:000270192800014.
[45] 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, 第 3 作者56(7): 1447-1460, https://www.webofscience.com/wos/woscc/full-record/WOS:000255305200005.
[46] Du Qiang, Ming PingBing. Cascadic multigrid methods for parabolic problems. SCIENCE IN CHINA SERIES A-MATHEMATICS[J]. 2008, 第 2 作者  通讯作者  51(8): 1415-1439, https://www.webofscience.com/wos/woscc/full-record/WOS:000258074400008.
[47] Wei, He, Xiang, Yang, Ming, Pingbing. A generalized Peierls-Nabarro model for curved dislocations using discrete Fourier transform. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2008, 第 3 作者4(2): 275-293, https://www.webofscience.com/wos/woscc/full-record/WOS:000258445800003.
[48] Ming, Pingbing. ERROR ESTIMATE OF FORCE-BASED QUASICONTINUUM METHOD. COMMUNICATIONS IN MATHEMATICAL SCIENCES[J]. 2008, 第 1 作者  通讯作者  6(4): 1087-1095, https://www.webofscience.com/wos/woscc/full-record/WOS:000262867400014.
[49] Du Qiang, Ming PingBing. Cascadic multigrid methods for parabolic problems. SCIENCE IN CHINA SERIES A-MATHEMATICS[J]. 2008, 第 2 作者  通讯作者  51(8): 1415-1439, https://www.webofscience.com/wos/woscc/full-record/WOS:000258074400008.
[50] Weinan E, Pingbing Ming. Cauchy-Born Rule and the Stability of Crystalline Solids: Dynamic Problems. 应用数学学报：英文版[J]. 2007, 第 2 作者23(4): 529-550, http://lib.cqvip.com/Qikan/Article/Detail?id=25547667.
[51] 鄂维南. Cauchy-Born rule and the stability of crystalline solids: Dynamic problems. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2007, 23(4): 529-550, http://lib.cqvip.com/Qikan/Article/Detail?id=25547667.
[52] 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.
[53] Liu, Fang, Ming, Pingbing, Li, Ju. Ab initio calculation of ideal strength and phonon instability of graphene under tension. PHYSICAL REVIEW B[J]. 2007, 第 2 作者76(6): http://dx.doi.org/10.1103/PhysRevB.76.064120.
[54] Ming, Pingbing, Shi, ZhongCi, Xu, Yun. A new superconvergence property of nonconforming rotated Q(1) element in 3D. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING[J]. 2007, 第 1 作者  通讯作者  197(1-4): 95-102, http://dx.doi.org/10.1016/j.cma.2007.07.013.
[55] Ming, Pingbing, Shi, ZhongCi. Analysis of some low order quadrilateral Reissner-Mindlin plate elements. MATHEMATICS OF COMPUTATION[J]. 2006, 第 1 作者  通讯作者  75(255): 1043-1065, https://www.webofscience.com/wos/woscc/full-record/WOS:000239181800002.
[56] 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.
[57] Ming, Pingbing, Zhang, Pingwen. Analysis of the heterogeneous multiscale method for parabolic homogenization problems. MATHEMATICS OF COMPUTATION[J]. 2006, 第 1 作者  通讯作者  76(257): 153-177, https://www.webofscience.com/wos/woscc/full-record/WOS:000241791500008.
[58] Ming, Pingbing, Shi, ZhongCi, Xu, Yun. Superconvergence studies of quadrilateral nonconforming rotated Q(1) elements. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING[J]. 2006, 第 1 作者  通讯作者  3(3): 322-332, https://www.webofscience.com/wos/woscc/full-record/WOS:000241069000007.
[59] Ming, PB, Shi, ZC. Two nonconforming quadrilateral elements for the Reissner-Mindlin plate. MATHEMATICALMODELSMETHODSINAPPLIEDSCIENCES[J]. 2005, 15(10): 1503-1517, https://www.webofscience.com/wos/woscc/full-record/WOS:000232562600004.
[60] 明平兵. A finite element method for nearly incompressible elasticity problem. 2005, 第 1 作者
[61] 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.
[62] 明平兵. Optimal L^2 error bounds for MITC3 type elements. Numerische Mathematik. 2002, 第 1 作者
[63] 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.
[64] 明平兵, 石钟慈. Reissner-Mindlin板的Weissman-Taylor有限元的误差分析. 中国科学(A辑). 2001, 第 1 作者136-145, http://kns.cnki.net/KCMS/detail/detail.aspx?QueryID=0&CurRec=3271&recid=&FileName=JAXK200102005&DbName=CJFD2001&DbCode=CJFQ&yx=&pr=&URLID=&bsm=QK0101;.
[65] 明平兵, 石钟慈. Reissnr—Mindlin板的Weissman—Taylor有限元的误差分析. 中国科学：A辑[J]. 2001, 第 1 作者31(2): 136-145, http://lib.cqvip.com/Qikan/Article/Detail?id=4997390.

   

（ 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