Edit Profile (opens in new tab) Zhang, Lei Co-Author Distance Author ID: zhang.lei.5 Published as: Zhang, Lei; Zhang, L. Further Spellings: 张镭 Homepage: https://ins.sjtu.edu.cn/people/lzhang/home.html External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 42 Publications since 2007, including 6 Additional arXiv Preprints Co-Authors: 39 Co-Authors with 40 Joint Publications 1,344 Co-Co-Authors all top 5 Co-Authors 1 single-authored 8 Ortner, Christoph 8 Owhadi, Houman 7 Wang, Yangshuai 6 Liao, Mingjie 4 Berlyand, Leonid V. 4 Liu, Xinliang 4 Wang, Hao 3 Lin, Ping 3 Wang, Haolei 2 Chen, Huajie 2 Du, Rui 2 Fang, Lidong 2 Hu, Junpeng 2 Li, Xian 2 Xu, Zhi-Qin John 1 Braun, Julian 1 Chen, Jianjun 1 Chen, Jingrun 1 Chen, Yanping 1 Chung, Tsz Shun Eric 1 D’Aprile, Teresa 1 Fedorov, Maxim V. 1 Fu, Kejie 1 Kermode, James R. 1 Li, Jinglai 1 Ma, Zetao 1 Majumdar, Apala 1 Mizuhara, Matthew S. 1 Olson, Derek 1 Rybalko, Volodymyr 1 Sandier, Etienne 1 Shapeev, Alexander V. 1 Shmalo, Yitzchak 1 Sun, Zhi Wei 1 Wang, Zhaoyang 1 Wei, Juncheng 1 Xie, Hehu 1 Xu, Bo 1 Yu, Tao 1 Zeng, Jiaoyan 1 Zhu, Shengxin all top 5 Serials 6 Multiscale Modeling & Simulation 4 Journal of Computational Physics 4 SIAM Journal on Scientific Computing 3 Computer Methods in Applied Mechanics and Engineering 3 SIAM Journal on Numerical Analysis 3 Journal on Numerical Methods and Computer Applications 3 Communications in Computational Physics 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Journal of Computational Mathematics 1 Physica D 1 Calculus of Variations and Partial Differential Equations 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Numerical Mathematics: Theory, Methods and Applications 1 Electronic Research Archive all top 5 Fields 27 Numerical analysis (65-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Partial differential equations (35-XX) 12 Mechanics of deformable solids (74-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Biology and other natural sciences (92-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 383 times in 247 Documents Cited by ▼ Year ▼ Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007 Owhadi, Houman; Zhang, Lei; Berlyand, Leonid 79 2014 Metric-based upscaling. Zbl 1190.35070 Owhadi, Houman; Zhang, Lei 69 2007 Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140 Owhadi, Houman; Zhang, Lei 45 2011 Numerical homogenization of the acoustic wave equations with a continuum of scales. Zbl 1228.76122 Owhadi, Houman; Zhang, Lei 31 2008 Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients. Zbl 1380.65406 Owhadi, Houman; Zhang, Lei 25 2017 Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces: a two-dimensional model problem. Zbl 1269.82019 Ortner, C.; Zhang, L. 22 2012 Energy-based atomistic-to-continuum coupling without ghost forces. Zbl 1423.82010 Ortner, C.; Zhang, Lei 19 2014 Homogenization of parabolic equations with a continuum of space and time scales. Zbl 1170.34037 Owhadi, Houman; Zhang, Lei 17 2008 Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction. Zbl 1447.65165 Xie, Hehu; Zhang, Lei; Owhadi, Houman 13 2019 Atomistic/continuum blending with ghost force correction. Zbl 1457.65209 Ortner, Christoph; Zhang, Lei 10 2016 A multi-scale DNN algorithm for nonlinear elliptic equations with multiple scales. Zbl 1474.65445 Li, Xi-An; Xu, Zhi-Qin John; Zhang, Lei 10 2020 On an evolution equation in a cell motility model. Zbl 1373.92023 Mizuhara, Matthew S.; Berlyand, Leonid; Rybalko, Volodymyr; Zhang, Lei 9 2016 (In-)stability and stabilization of QNL-type atomistic-to-continuum coupling methods. Zbl 1321.82037 Ortner, Christoph; Shapeev, Alexander V.; Zhang, Lei 6 2014 Surface, size and topological effects for some nematic equilibria on rectangular domains. Zbl 1481.76024 Fang, Lidong; Majumdar, Apala; Zhang, Lei 6 2020 A posteriori error estimation and adaptive algorithm for atomistic/continuum coupling in two dimensions. Zbl 1395.65125 Wang, Hao; Liao, Mingjie; Lin, Ping; Zhang, Lei 5 2018 A posteriori error estimate and adaptive mesh refinement algorithm for atomistic/continuum coupling with finite range interactions in two dimensions. Zbl 1473.65267 Liao, Mingjie; Lin, Ping; Zhang, Lei 4 2020 Adaptive QM/MM coupling for crystalline defects. Zbl 1441.65119 Chen, Huajie; Liao, Mingjie; Wang, Hao; Wang, Yangshuai; Zhang, Lei 3 2019 A posteriori error estimates for adaptive QM/MM coupling methods. Zbl 1486.65266 Wang, Yangshuai; Chen, Huajie; Liao, Mingjie; Ortner, Christoph; Wang, Hao; Zhang, Lei 3 2021 Global energy matching method for atomistic-to-continuum modeling of self-assembling biopolymer aggregates. Zbl 1245.74044 Zhang, Lei; Berlyand, Leonid; Fedorov, Maxim V.; Owhadi, Houman 2 2010 Iterated numerical homogenization for multiscale elliptic equations with monotone nonlinearity. Zbl 1478.65128 Liu, Xinliang; Chung, Eric; Zhang, Lei 2 2021 Blended ghost force correction method for 3D crystalline defects. Zbl 1473.65335 Fang, Lidong; Zhang, Lei 1 2021 A fast front-tracking approach and its analysis for a temporal multiscale flow problem with a fractional order boundary growth. Zbl 1527.76057 Wang, Zhaoyang; Lin, Ping; Zhang, Lei 1 2023 Generalized rough polyharmonic splines for multiscale PDEs with rough coefficients. Zbl 1513.65485 Liu, Xinliang; Zhang, Lei; Zhu, Shengxin 1 2021 A fast front-tracking approach and its analysis for a temporal multiscale flow problem with a fractional order boundary growth. Zbl 1527.76057 Wang, Zhaoyang; Lin, Ping; Zhang, Lei 1 2023 A posteriori error estimates for adaptive QM/MM coupling methods. Zbl 1486.65266 Wang, Yangshuai; Chen, Huajie; Liao, Mingjie; Ortner, Christoph; Wang, Hao; Zhang, Lei 3 2021 Iterated numerical homogenization for multiscale elliptic equations with monotone nonlinearity. Zbl 1478.65128 Liu, Xinliang; Chung, Eric; Zhang, Lei 2 2021 Blended ghost force correction method for 3D crystalline defects. Zbl 1473.65335 Fang, Lidong; Zhang, Lei 1 2021 Generalized rough polyharmonic splines for multiscale PDEs with rough coefficients. Zbl 1513.65485 Liu, Xinliang; Zhang, Lei; Zhu, Shengxin 1 2021 A multi-scale DNN algorithm for nonlinear elliptic equations with multiple scales. Zbl 1474.65445 Li, Xi-An; Xu, Zhi-Qin John; Zhang, Lei 10 2020 Surface, size and topological effects for some nematic equilibria on rectangular domains. Zbl 1481.76024 Fang, Lidong; Majumdar, Apala; Zhang, Lei 6 2020 A posteriori error estimate and adaptive mesh refinement algorithm for atomistic/continuum coupling with finite range interactions in two dimensions. Zbl 1473.65267 Liao, Mingjie; Lin, Ping; Zhang, Lei 4 2020 Fast eigenpairs computation with operator adapted wavelets and hierarchical subspace correction. Zbl 1447.65165 Xie, Hehu; Zhang, Lei; Owhadi, Houman 13 2019 Adaptive QM/MM coupling for crystalline defects. Zbl 1441.65119 Chen, Huajie; Liao, Mingjie; Wang, Hao; Wang, Yangshuai; Zhang, Lei 3 2019 A posteriori error estimation and adaptive algorithm for atomistic/continuum coupling in two dimensions. Zbl 1395.65125 Wang, Hao; Liao, Mingjie; Lin, Ping; Zhang, Lei 5 2018 Gamblets for opening the complexity-bottleneck of implicit schemes for hyperbolic and parabolic ODEs/PDEs with rough coefficients. Zbl 1380.65406 Owhadi, Houman; Zhang, Lei 25 2017 Atomistic/continuum blending with ghost force correction. Zbl 1457.65209 Ortner, Christoph; Zhang, Lei 10 2016 On an evolution equation in a cell motility model. Zbl 1373.92023 Mizuhara, Matthew S.; Berlyand, Leonid; Rybalko, Volodymyr; Zhang, Lei 9 2016 Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007 Owhadi, Houman; Zhang, Lei; Berlyand, Leonid 79 2014 Energy-based atomistic-to-continuum coupling without ghost forces. Zbl 1423.82010 Ortner, C.; Zhang, Lei 19 2014 (In-)stability and stabilization of QNL-type atomistic-to-continuum coupling methods. Zbl 1321.82037 Ortner, Christoph; Shapeev, Alexander V.; Zhang, Lei 6 2014 Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces: a two-dimensional model problem. Zbl 1269.82019 Ortner, C.; Zhang, L. 22 2012 Localized bases for finite-dimensional homogenization approximations with nonseparated scales and high contrast. Zbl 1244.65140 Owhadi, Houman; Zhang, Lei 45 2011 Global energy matching method for atomistic-to-continuum modeling of self-assembling biopolymer aggregates. Zbl 1245.74044 Zhang, Lei; Berlyand, Leonid; Fedorov, Maxim V.; Owhadi, Houman 2 2010 Numerical homogenization of the acoustic wave equations with a continuum of scales. Zbl 1228.76122 Owhadi, Houman; Zhang, Lei 31 2008 Homogenization of parabolic equations with a continuum of space and time scales. Zbl 1170.34037 Owhadi, Houman; Zhang, Lei 17 2008 Metric-based upscaling. Zbl 1190.35070 Owhadi, Houman; Zhang, Lei 69 2007 all cited Publications top 5 cited Publications all top 5 Cited by 297 Authors 31 Efendiev, Yalchin R. 29 Chung, Tsz Shun Eric 21 Peterseim, Daniel 19 Zhang, Lei 17 Leung, Wingtat 14 Hou, Thomas Yizhao 14 Owhadi, Houman 12 Abdulle, Assyr 11 Henning, Patrick 11 Ortner, Christoph 10 Målqvist, Axel 8 Galvis, Juan 8 Lu, Jianfeng 7 Cheung, Siu Wun 7 Jiang, Lijian 7 Li, Qin 7 Pun, Saimang 6 Liao, Mingjie 6 Maier, Roland 6 Shapeev, Alexander V. 6 Wang, Yangshuai 5 Berlyand, Leonid V. 5 Chen, Yifan 5 Han, Yucen 5 Hoang, Viet Ha 5 Majumdar, Apala 5 Wang, Hao 4 Altmann, Robert 4 Chen, Huajie 4 Chen, Jingrun 4 Hauck, Moritz 4 Hodapp, Max 4 Li, Xingjie Helen 4 Lin, Ping 4 Verfürth, Barbara 4 Wright, Stephen J. 4 Xie, Hehu 4 Zhang, Zhiwen 3 Deng, Weibing 3 Fu, Shubin 3 Grote, Marcus J. 3 Hellman, Fredrik 3 Liu, Xinliang 3 Luskin, Mitchell 3 Ming, Pingbing 3 Pouchon, Timothée 3 Presho, Michael 3 Smetana, Kathrin 3 Vabishchevich, Pëtr Nikolaevich 3 Wu, Haijun 3 Xu, Zhi-Qin John 3 Zhang, Pengchuan 3 Zhang, Zecheng 2 Alikhanov, Anatoliĭ Alievich 2 Aranson, Igor S. 2 Arjmand, Doghonay 2 Chen, Ke 2 Chen, Shi 2 Chen, Wenbin 2 Chen, Yanping 2 Cucchi, Alessandro 2 Curtin, William A. 2 Dang, Haikun 2 Elfverson, Daniel 2 Gallistl, Dietmar 2 García-Cervera, Carlos J. 2 Gibson jun., Richard L. 2 Ginting, Victor 2 Gloria, Antoine 2 Gu, Chenlin 2 Hesthaven, Jan S. 2 Hosseini, Bamdad 2 Huang, ZhaoQin 2 Keil, Tim 2 Kreiss, Gunilla 2 Li, Wenyuan 2 Li, Xian 2 Li, Xiantao 2 Lipton, Robert P. 2 Liu, Pengfei 2 Ma, Dingjiong 2 Mellet, Antoine 2 Meunier, Nicolas 2 Mishev, Ilya D. 2 Morgenstern, Philipp 2 Oates, Chris J. 2 Poluektov, Mikhail 2 Potomkin, Mykhailo 2 Rybalko, Volodymyr 2 Schäfer, Florian 2 Scheichl, Robert 2 Schleuß, Julia 2 Shao, Nian 2 Shi, Baoming 2 Sinz, Paul 2 Stohrer, Christian 2 Stuebner, Michael 2 Sullivan, Tim 2 Tan, Wee Chin 2 Wang, Yating ...and 197 more Authors all top 5 Cited in 59 Serials 40 Multiscale Modeling & Simulation 36 Journal of Computational Physics 18 Computer Methods in Applied Mechanics and Engineering 13 Journal of Computational and Applied Mathematics 12 SIAM Journal on Scientific Computing 11 SIAM Journal on Numerical Analysis 9 Communications in Computational Physics 6 Mathematics of Computation 6 Numerische Mathematik 6 Computational Geosciences 5 Journal of Scientific Computing 4 SIAM Journal on Applied Mathematics 3 Archive for Rational Mechanics and Analysis 3 BIT 3 Physica D 3 Advances in Computational Mathematics 3 Discrete and Continuous Dynamical Systems 3 Communications in Nonlinear Science and Numerical Simulation 3 Foundations of Computational Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 Chinese Annals of Mathematics. Series B 2 Journal of Computational Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Oberwolfach Reports 2 Networks and Heterogeneous Media 2 Statistics and Computing 1 Nonlinearity 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of the American Statistical Association 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 The Annals of Applied Probability 1 SIAM Review 1 Journal of Nonlinear Science 1 Computational and Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Fractional Calculus & Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Computational Methods in Applied Mathematics 1 International Journal of Computational Methods 1 Acta Numerica 1 GAMM-Mitteilungen 1 Discrete and Continuous Dynamical Systems. Series S 1 Numerical Mathematics: Theory, Methods and Applications 1 Advances in Adaptive Data Analysis 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Theoretical Biology 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Research in the Mathematical Sciences 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 32 Fields 206 Numerical analysis (65-XX) 118 Partial differential equations (35-XX) 50 Fluid mechanics (76-XX) 48 Mechanics of deformable solids (74-XX) 23 Statistical mechanics, structure of matter (82-XX) 19 Computer science (68-XX) 12 Probability theory and stochastic processes (60-XX) 11 Statistics (62-XX) 11 Biology and other natural sciences (92-XX) 10 Mechanics of particles and systems (70-XX) 9 Approximations and expansions (41-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Quantum theory (81-XX) 5 Ordinary differential equations (34-XX) 5 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Potential theory (31-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year