Edit Profile (opens in new tab) Liu, Wing Kam Compute Distance To: Compute Author ID: liu.wing-kam Published as: Liu, Wing Kam; Liu, W. K.; Liu, Wing K.; Liu, Wingkam; Liu, Wing-Kam; Liu, Wing Kam Snm; Wing Kam Liu; Liu, W. more...less Homepage: http://www.mccormick.northwestern.edu/research-faculty/directory/profiles/liu-ka... External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 249 Publications since 1978, including 3 Books 4 Contributions as Editor Co-Authors: 259 Co-Authors with 248 Joint Publications 5,152 Co-Co-Authors all top 5 Co-Authors 3 single-authored 54 Belytschko, Ted Bohdan 24 Li, Shaofan 23 Wagner, Gregory J. 16 Tang, Shan 15 Karpov, Eduard G. 15 Tang, Shaoqiang 12 Park, Harold S. 11 Qian, Dong 10 Gao, Jiaying 10 Hao, Su 10 Kafka, Orion L. 10 Lian, Yanping 10 Zhang, Lucy T. 9 Chen, Wei 9 Hughes, Thomas J. R. 9 Yu, Cheng 8 Cao, Jian 8 Guo, Xu 8 Liu, Zeliang 7 Chen, Jiun-Shyan 7 Greene, M. Steven 7 Kopacz, Adrian Marcin 7 Lu, Hongsheng 7 McVeigh, Cahal 7 Moran, Brian 7 Olson, Gregory B. 7 To, Albert C. 7 Zhang, Yifei 6 Kim, Do Wan 6 Lin, Stephen Ching-Feng 6 Ong, Jame Shau-Jen 6 Smith, Jacob W. 6 Wang, Xiaodong 6 Yan, Wentao 6 Zhang, Lei 5 Bessa, Miguel A. 5 Chen, Yijung 5 Fleming, Mark 5 Jun, Sukky 5 Kadowaki, Hiroshi 5 Li, Hengyang 5 Liu, Yaling 5 Vernerey, Franck J. 5 Yang, Hang 5 Ying, Yuping 4 Chang, Chin Tang 4 Farrell, David E. 4 Gonella, Stefano 4 Han, Weimin 4 Hao, Wei 4 Hu, Yu-Kan 4 Lam, Dennis 4 Li, Ying 4 Simkins, Daniel Craig jun. 4 Tian, Rong 3 Besterfield, Glen H. 3 Chang, Herman 3 Elkhodary, Khalil I. 3 Guo, Yong 3 Lindgren, Lars-Erik 3 Medyanik, Sergey N. 3 Patankar, Neelesh A. 3 Rosakis, Ares J. 3 Saha, Sourav 3 Shakoor, Modesar 3 Siad, Larbi 3 Tajdari, Mahsa 3 Uras, Rasim Aziz 3 Zhang, Gang 2 Bostanabad, Ramin 2 Camanho, Pedro P. 2 Chan, Stephanie 2 Chang, Yoon-Suk 2 Cheng, Lin 2 Choi, Jae-Boong 2 Chung, Jaehyun 2 Gan, Zhengtao 2 Günther, Frank C. 2 Guo, Tianfu 2 Hou, Thomas Yizhao 2 Huerta, Antonio 2 Jones, Kevontrez Kyvon 2 Kennedy, James M. 2 Kim, Youngjin 2 Klein, Patrick A. 2 Lu, Ye 2 Lua, Yuan Jie 2 Mojumder, Satyajit 2 Moore, John A. 2 Qiu, Hai 2 Smolinski, Patrick 2 Wang, Q. Jane 2 Xiong, Wei 2 Xu, Hongyi 2 Yang, Yang 2 Yin, Xiaolei 2 Yoon, Young-Cheol 2 Zhang, Yongjie Jessica 1 Adee, Jonathan 1 Aldousari, Saad M. ...and 163 more Co-Authors all top 5 Serials 95 Computer Methods in Applied Mechanics and Engineering 46 Computational Mechanics 41 International Journal for Numerical Methods in Engineering 11 Journal of Computational Physics 10 Journal of the Mechanics and Physics of Solids 6 International Journal of Solids and Structures 5 Computers and Structures 5 Journal of Applied Mechanics 4 International Journal for Numerical Methods in Fluids 1 Computers and Fluids 1 Journal of Computational and Applied Mathematics 1 Journal of Statistical Planning and Inference 1 Mechanics Research Communications 1 SIAM Journal on Numerical Analysis 1 Finite Elements in Analysis and Design 1 Numerical Methods for Partial Differential Equations 1 Communications in Numerical Methods in Engineering 1 Advances in Computational Mathematics 1 CMES. Computer Modeling in Engineering & Sciences 1 Matematicheskoe Modelirovanie 1 Acta Mechanica Sinica all top 5 Fields 203 Mechanics of deformable solids (74-XX) 59 Numerical analysis (65-XX) 48 Fluid mechanics (76-XX) 18 Partial differential equations (35-XX) 9 Biology and other natural sciences (92-XX) 6 Computer science (68-XX) 5 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 3 Statistics (62-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 231 Publications have been cited 8,316 times in 4,203 Documents Cited by ▼ Year ▼ Reproducing kernel particle methods. Zbl 0881.76072Liu, Wing Kam; Jun, Sukky; Zhang, Yi Fei 911 1995 Nonlinear finite elements for continua and structures. Zbl 0959.74001Belytschko, Ted; Liu, Wing Kam; Moran, Brian 480 2000 Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K. 457 1981 Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted 282 1995 Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Zbl 0918.73330Chen, Jiun-Shyan; Pan, Chunhui; Wu, Cheng-Tang; Liu, Wing Kam 234 1996 Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088Liu, Wing Kam; Li, Shaofan; Belytschko, Ted 198 1997 Immersed finite element method. Zbl 1067.76576Zhang, Lucy; Gerstenberger, Axel; Wang, Xiaodong; Liu, Wing Kam 183 2004 Coupling of atomistic and continuum simulations using a bridging scale decomposition. Zbl 1169.74635Wagner, Gregory J.; Liu, Wing Kam 170 2003 Meshfree particle methods. Zbl 1073.65002Li, Shaofan; Liu, Wing Kam 156 2004 Hourglass control in linear and nonlinear problems. Zbl 0522.73063Belytschko, Ted; Ong, Jame Shau-Jen; Liu, Wing Kam; Kennedy, James M. 131 1984 Stress projection for membrane and shear locking in shell finite elements. Zbl 0581.73091Belytschko, Ted; Stolarski, Henryk; Liu, Wing Kam; Carpenter, Nicholas; Ong, Jame Shau-Jen 129 1985 A unified stability analysis of meshless particle methods. Zbl 0972.74078Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping 116 2000 Finite element analysis of incompressible viscous flows by the penalty function formulation. Zbl 0412.76023Hughes, Thomas J. R.; Liu, Wing Kam; Brooks, Alec 114 1979 Nonlinear finite element analysis of shells. I. Three-dimensional shells. Zbl 0461.73061Hughes, Thomas J. R.; Liu, Wing Kam 113 1981 Implicit-explicit finite elements in transient analysis: Stability theory. Zbl 0392.73076Hughes, T. J. R.; Liu, W. K. 107 1978 Nonlinear finite elements for continua and structures. 2nd updated and extended ed. Zbl 1279.74002Belytschko, Ted; Liu, Wing Kam; Moran, Brian; Elkhodary, Khalil 107 2013 Viscous flow with large free surface motion. Zbl 0655.76032Huerta, Antonio; Liu, Wing Kam 102 1988 Random field finite elements. Zbl 0597.73075Liu, Wing Kam; Belytschko, Ted; Mani, A. 98 1986 Wavelet and multiple scale reproducing kernel methods. Zbl 0885.76078Liu, Wing Kam; Chen, Yijung 93 1995 An introduction to computational nanomechanics and materials. Zbl 1079.74506Liu, W. K.; Karpov, E. G.; Zhang, S.; Park, H. S. 89 2004 Immersed finite element method and its applications to biological systems. Zbl 1178.76232Liu, Wing Kam; Liu, Yaling; Farrell, David; Zhang, Lucy; Wang, X. Sheldon; Fukui, Yoshio; Patankar, Neelesh; Zhang, Yongjie; Bajaj, Chandrajit; Lee, Junghoon; Hong, Juhee; Chen, Xinyu; Hsu, Huayi 89 2006 Smoothing and accelerated computations in the element free Galerkin method. Zbl 0862.73058Belytschko, Ted; Krongauz, Yury; Fleming, Mark; Organ, Daniel; Liu, Wing Kam Snm 87 1996 Reproducing kernel element method. I: Theoretical formulation. Zbl 1060.74670Liu, Wing Kam; Han, Weimin; Lu, Hongsheng; Li, Shaofan; Cao, Jian 87 2004 Generalized multiple scale reproducing kernel particle methods. Zbl 0896.76069Liu, Wing Kam; Chen, Yijung; Uras, R. Aziz; Chang, Chin Tang 83 1996 Extended immersed boundary method using FEM and RKPM. Zbl 1060.74676Wang, Xiaodong; Liu, Wing Kam 82 2004 Implicit-explicit finite elements in transient analysis: Implementation and numerical examples. Zbl 0392.73077Hughes, T. J. R.; Liu, W. K. 77 1978 Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua. Zbl 0626.73076Liu, Wing Kam; Chang, Herman; Chen, Jiun-Shyan; Belytschko, Ted 64 1988 Finite-element methods for nonlinear elastodynamics which conserve energy. Zbl 0392.73075Hughes, T. J. R.; Caughey, T. K.; Liu, W. K. 64 1978 Numerical simulations of large deformation of thin shell structures using meshfree methods. Zbl 0978.74087Li, S.; Hao, W.; Liu, W. K. 60 2000 A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam 59 2014 Finite element stabilization matrices - A unification approach. Zbl 0553.73065Liu, Wingkam; Ong, Jame Shau-Jen; Uras, Rasim Aziz 57 1985 Enrichment of the finite element method with the reproducing kernel particle method. Zbl 0920.73366Liu, Wing Kam; Uras, R. A.; Chen, Y. 57 1997 Moving least-square reproducing kernel method. II: Fourier analysis. Zbl 0883.65089Li, Shaofan; Liu, Wing Kam 55 1996 Meshless methods for shear-deformable beams and plates. Zbl 0959.74079Donning, Brian M.; Liu, Wing Kam 54 1998 The extended finite element method for rigid particles in Stokes flow. Zbl 0998.76054Wagner, G. J.; Moës, N.; Liu, W. K.; Belytschko, T. 52 2001 Reproducing kernel hierarchical partition of unity. I: Formulation and theory. II: Applications. Zbl 0945.74079Li, Shaofan; Liu, Wing Kam 49 1999 Probabilistic finite elements for nonlinear structural dynamics. Zbl 0576.73066Liu, Wing Kam; Belytschko, Ted; Mani, A. 49 1986 Multi-scale micromorphic theory for hierarchical materials. Zbl 1159.74314Vernerey, Franck; Liu, Wing Kam; Moran, Brian 49 2007 Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies. Zbl 1093.74062Li, Shaofan; Lu, Hongsheng; Han, Weimin; Liu, Wing Kam; Simkins, Daniel C. 48 2004 Synchronized reproducing kernel interpolant via multiple wavelet expansion. Zbl 0912.76057Li, S.; Liu, W. K. 47 1998 Advances in multiple scale kernel particle methods. Zbl 0868.73091Liu, W. K.; Chen, Y.; Chang, C. T.; Belytschko, T. 46 1996 A multiscale projection method for the analysis of carbon nanotubes. Zbl 1079.74595Qian, Dong; Wagner, Gregory J.; Liu, Wing Kam 45 2004 A framework for data-driven analysis of materials under uncertainty: countering the curse of dimensionality. Zbl 1439.74014Bessa, M. A.; Bostanabad, R.; Liu, Z.; Hu, A.; Apley, Daniel W.; Brinson, C.; Chen, W.; Liu, Wing Kam 45 2017 Resultant-stress degenerated-shell element. Zbl 0587.73113Liu, Wing K.; Law, E. S.; Lam, D.; Belytschko, T. 44 1986 A Green’s function approach to deriving non-reflecting boundary conditions in molecular dynamics simulations. Zbl 1080.74050Karpov, E. G.; Wagner, G. J.; Liu, Wing Kam 44 2005 Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials. Zbl 1436.74070Liu, Zeliang; Bessa, M. A.; Liu, Wing Kam 43 2016 An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials. Zbl 0585.73117Liu, Wing Kam; Belytschko, Ted; Chang, Herman 43 1986 Implementation of boundary conditions for meshless methods. Zbl 0963.76068Günther, Frank C.; Liu, Wing Kam 42 1998 Nonlinear finite element analysis of shells. II. Two-dimensional shells. Zbl 0474.73093Hughes, Thomas J. R.; Liu, Wing Kam 42 1981 A multiple-quadrature eight-mode hexahedral finite element for large deformation elastoplastic analysis. Zbl 0935.74068Liu, Wing Kam; Guo, Yong; Tang, Sing; Belytschko, Ted 41 1998 Multiple-scale reproducing kernel particle methods for large deformation problems. Zbl 0916.73060Liu, Wing Kam; Jun, Sukky 40 1998 Mathematical foundations of the immersed finite element method. Zbl 1178.74170Liu, Wing Kam; Kim, Do Wan; Tang, Shaoqiang 40 2007 Rheology of red blood cell aggregation by computer simulation. Zbl 1102.92010Liu, Yaling; Liu, Wing Kam 39 2006 Explicit reproducing kernel particle methods for large deformation problems. Zbl 0909.73088Jun, Sukky; Liu, Wing Kam; Belytschko, Ted 38 1998 Multiresolution reproducing kernel particle method for computational fluid dynamics. Zbl 0880.76057Liu, Wing Kam; Jun, Sukky; Sihling, Dirk Thomas; Chen, Yijung; Hao, Wei 37 1997 Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition. Zbl 1090.74698Li, Shaofan; Liu, Wing Kam; Rosakis, Ares J.; Belytschko, Ted; Hao, Wei 36 2002 Reproducing kernel element method. III: Generalized enrichment and applications. Zbl 1060.74671Lu, Hongsheng; Li, Shaofan; Simkins, Daniel C. jun.; Liu, Wing Kam; Cao, Jian 35 2004 Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy. Zbl 1093.74064Simkins, Daniel C. jun.; Li, Shaofan; Lu, Hongsheng; Liu, Wing Kam 35 2004 Application of essential boundary conditions in mesh-free methods: A corrected collocation method. Zbl 0965.76069Wagner, Gregory J.; Liu, Wing Kam 35 2000 Hierarchical enrichment for bridging scales and mesh-free boundary conditions. Zbl 1006.76073Wagner, Gregory J.; Liu, Wing Kam 35 2001 Molecular dynamics boundary conditions for regular crystal lattices. Zbl 1079.74526Wagner, Gregory J.; Karpov, Eduard G.; Liu, Wing Kam 33 2004 A stabilization matrix for the bilinear Mindlin plate element. Zbl 0474.73091Belytschko, T.; Tsay, C. S.; Liu, W. K. 33 1981 A mathematical framework of the bridging scale method. Zbl 1117.74056Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam 32 2006 Mesh-free simulations of shear banding in large deformation. Zbl 0995.74082Li, Shaofan; Hao, Wei; Liu, Wing Kam 32 2000 Admissible approximations for essential boundary conditions in the reproducing kernel particle method. Zbl 0889.73078Gosz, J.; Liu, W. K. 32 1996 An introduction and tutorial on multiple-scale analysis in solids. Zbl 1079.74508Park, Harold S.; Liu, Wing Kam 31 2004 Three-dimensional bridging scale analysis of dynamic fracture. Zbl 1213.74267Park, Harold S.; Karpov, Eduard G.; Klein, Patrick A.; Liu, Wing Kam 31 2005 Bridging multi-scale method for localization problems. Zbl 1060.74504Kadowaki, Hiroshi; Liu, Wing Kam 30 2004 Multiple quadrature underintegrated finite elements. Zbl 0811.73063Liu, Wing Kam; Hu, Yu-Kan; Belytschko, Ted 29 1994 A phonon heat bath approach for the atomistic and multiscale simulation of solids. Zbl 1194.74526Karpov, E. G.; Park, H. S.; Liu, Wing Kam 29 2007 Linking microstructure and properties through a predictive multiresolution continuum. Zbl 1159.74311McVeigh, Cahal; Liu, Wing Kam 29 2008 Numerical simulations of strain localization in inelastic solids using mesh-free methods. Zbl 1052.74618Li, Shaofan; Liu, Wing Kam 29 2000 Efficient linear and nonlinear heat conduction with a quadrilateral element. Zbl 0542.65067Liu, Wing Kam; Belytschko, Ted 28 1984 Stability of multi-time step partitioned integrators for first-order finite element systems. Zbl 0599.65060Belytschko, Ted; Smolinski, Patrick; Liu, Wing Kam 28 1985 Mixed-time implicit-explicit finite elements for transient analysis. Zbl 0488.73071Liu, W. K.; Belytschko, T. 27 1982 Maximum principle and convergence analysis for the meshfree point collocation method. Zbl 1155.65090Kim, Do Wan; Liu, Wing Kam 27 2006 Bridging scale methods for nanomechanics and materials. Zbl 1116.74048Liu, Wing Kam; Park, Harold S.; Qian, Dong; Karpov, Eduard G.; Kadowaki, Hiroshi; Wagner, Gregory J. 27 2006 A parallelized meshfree method with boundary enrichment for large-scale CFD. Zbl 1060.76096Zhang, Lucy T.; Wagner, Gregory J.; Liu, Wing K. 26 2002 Multiresolution analysis for material design. Zbl 1118.74040McVeigh, Cahal; Vernerey, Franck; Liu, Wing Kam; Brinson, L. Cate 26 2006 Coupling of Navier-Stokes equations with protein molecular dynamics and its application to hemodynamics. Zbl 1135.92302Liu, Yaling; Zhang, Lucy; Wang, Xiaodong; Liu, Wing Kam 26 2004 An improved reproducing kernel particle method for nearly incompressible finite elasticity. Zbl 0973.74088Chen, Jiun-Shyan; Yoon, Sangpil; Wang, Hui-Ping; Liu, Wing Kam 26 2000 On computational issues of immersed finite element methods. Zbl 1158.74049Wang, X. Sheldon; Zhang, L. T.; Liu, Wing Kam 26 2009 The immersed/fictitious element method for fluid-structure interaction: Volumetric consistency, compressibility and thin members. Zbl 1159.74437Wang, Hongwu; Chessa, Jack; Liu, Wing K.; Belytschko, Ted 25 2008 A micromorphic model for the multiple scale failure of heterogeneous materials. Zbl 1171.74312Vernerey, Franck J.; Liu, Wing Kam; Moran, Brian; Olson, Gregory 24 2008 Implementation and application of a 9-node Lagrange shell element with spurious mode control. Zbl 0581.73089Belytschko, Ted; Liu, Wing-Kam; Ong, Jame Shau-Jen; Lam, Dennis 23 1985 Microstructural material database for self-consistent clustering analysis of elastoplastic strain softening materials. Zbl 1439.74063Liu, Zeliang; Fleming, Mark; Liu, Wing Kam 23 2018 A temperature equation for coupled atomistic/continuum simulations. Zbl 1079.74507Park, Harold S.; Karpov, Eduard G.; Liu, Wing Kam 21 2004 A pseudo-spectral multiscale method: interfacial conditions and coarse grid equations. Zbl 1089.65110Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam 21 2006 Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels. Zbl 1079.74504Hao, Su; Liu, Wing Kam; Moran, Brian; Vernerey, Franck; Olson, Gregory B. 20 2004 Computer implementation aspects for fluid structure interaction problems. Zbl 0478.73061Liu, Wing Kam; Ma, David C. 20 1982 Non-reflecting boundary conditions for atomistic, continuum and coupled atomistic/continuum simulations. Zbl 1138.74421Park, Harold S.; Karpov, Eduard G.; Liu, Wing Kam 20 2005 Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative. Zbl 1110.65110Kim, Do Wan; Yoon, Young-Cheol; Liu, Wing Kam; Belytschko, Ted 20 2007 Predictive multiscale theory for design of heterogeneous materials. Zbl 1304.74016Liu, Wing Kam; McVeigh, Cahal 20 2008 Moving particle finite element method. Zbl 1169.74606Hao, Su; Park, Harold S.; Liu, Wing Kam 20 2002 Modeling and simulation of intersonic crack growth. Zbl 1045.74588Hao, Su; Liu, Wing Kam; Klein, Patrick A.; Rosakis, Ares J. 19 2004 Meshfree point collocation method with intrinsic enrichment for interface problems. Zbl 1161.74053Kim, Do Wan; Liu, Wing Kam; Yoon, Young-Cheol; Belytschko, Ted; Lee, Sang-Ho 19 2007 A stabilized 3-D co-rotational formulation for geometrically nonlinear analysis of multi-layered composite shells. Zbl 0980.74066Masud, A.; Tham, C. L.; Liu, W. K. 19 2000 Computer implementation of damage models by finite element and meshfree methods. Zbl 0980.74063Hao, Su; Liu, Wing Kam; Chang, Chin Tang 19 2000 Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Zbl 1398.74053Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre 18 2016 Clustering discretization methods for generation of material performance databases in machine learning and design optimization. Zbl 1470.74073Li, Hengyang; Kafka, Orion L.; Gao, Jiaying; Yu, Cheng; Nie, Yinghao; Zhang, Lei; Tajdari, Mahsa; Tang, Shan; Guo, Xu; Li, Gang; Tang, Shaoqiang; Cheng, Gengdong; Liu, Wing Kam 18 2019 Hierarchical deep learning neural network (HiDeNN): an artificial intelligence (AI) framework for computational science and engineering. Zbl 07337747Saha, Sourav; Gan, Zhengtao; Cheng, Lin; Gao, Jiaying; Kafka, Orion L.; Xie, Xiaoyu; Li, Hengyang; Tajdari, Mahsa; Kim, H. Alicia; Liu, Wing Kam 16 2021 Hierarchical deep-learning neural networks: finite elements and beyond. Zbl 07360501Zhang, Lei; Cheng, Lin; Li, Hengyang; Gao, Jiaying; Yu, Cheng; Domel, Reno; Yang, Yang; Tang, Shaoqiang; Liu, Wing Kam 3 2021 MAP123-EPF: a mechanistic-based data-driven approach for numerical elastoplastic modeling at finite strain. Zbl 07337767Tang, Shan; Yang, Hang; Qiu, Hai; Fleming, Mark; Liu, Wing Kam; Guo, Xu 2 2021 Multiresolution clustering analysis for efficient modeling of hierarchical material systems. Zbl 1468.74092Yu, Cheng; Kafka, Orion L.; Liu, Wing Kam 2 2021 Image-based modelling for adolescent idiopathic scoliosis: mechanistic machine learning analysis and prediction. Zbl 07338029Tajdari, Mahsa; Pawar, Aishwarya; Li, Hengyang; Tajdari, Farzam; Maqsood, Ayesha; Cleary, Emmett; Saha, Sourav; Zhang, Yongjie Jessica; Sarwark, John F.; Liu, Wing Kam 1 2021 Efficient multiscale modeling for woven composites based on self-consistent clustering analysis. Zbl 1442.74057Han, Xinxing; Gao, Jiaying; Fleming, Mark; Xu, Chenghai; Xie, Weihua; Meng, Songhe; Liu, Wing Kam 4 2020 MAP123-EP: a mechanistic-based data-driven approach for numerical elastoplastic analysis. Zbl 1442.74044Tang, Shan; Li, Ying; Qiu, Hai; Yang, Hang; Saha, Sourav; Mojumder, Satyajit; Liu, Wing Kam; Guo, Xu 4 2020 Analytical expression of RKPM shape functions. Zbl 1467.74094Zhang, Lei; Tang, Shaoqiang; Liu, Wing Kam 2 2020 A novel solver for simulation of flows from continuum regime to rarefied regime at moderate Knudsen number. Zbl 1440.76138Liu, Z. J.; Shu, C.; Chen, S. Y.; Yang, L. M.; Wan, M. P.; Liu, W. 1 2020 Clustering discretization methods for generation of material performance databases in machine learning and design optimization. Zbl 1470.74073Li, Hengyang; Kafka, Orion L.; Gao, Jiaying; Yu, Cheng; Nie, Yinghao; Zhang, Lei; Tajdari, Mahsa; Tang, Shan; Guo, Xu; Li, Gang; Tang, Shaoqiang; Cheng, Gengdong; Liu, Wing Kam 18 2019 Derivation of heterogeneous material laws via data-driven principal component expansions. Zbl 1467.74013Yang, Hang; Guo, Xu; Tang, Shan; Liu, Wing Kam 17 2019 Phase field modeling of fracture in nonlinearly elastic solids via energy decomposition. Zbl 1440.74038Tang, Shan; Zhang, Gang; Guo, Tian Fu; Guo, Xu; Liu, Wing Kam 12 2019 Data science for finite strain mechanical science of ductile materials. Zbl 1467.74017Shakoor, Modesar; Kafka, Orion L.; Yu, Cheng; Liu, Wing Kam 10 2019 Self-consistent clustering analysis for multiscale modeling at finite strains. Zbl 1441.74309Yu, Cheng; Kafka, Orion L.; Liu, Wing Kam 10 2019 Fracture in tension-compression-asymmetry solids via phase field modeling. Zbl 1442.74025Zhang, Gang; Guo, Tian Fu; Guo, Xu; Tang, Shan; Fleming, Mark; Liu, Wing Kam 7 2019 MAP123: a data-driven approach to use 1D data for 3D nonlinear elastic materials modeling. Zbl 1442.65417Tang, Shan; Zhang, Gang; Yang, Hang; Li, Ying; Liu, Wing Kam; Guo, Xu 6 2019 Powder-scale multi-physics modeling of multi-layer multi-track selective laser melting with sharp interface capturing method. Zbl 1468.74014Wang, Zekun; Yan, Wentao; Liu, Wing Kam; Liu, Moubin 6 2019 Fast calculation of interaction tensors in clustering-based homogenization. Zbl 1467.74100Zhang, Lei; Tang, Shaoqiang; Yu, Cheng; Zhu, Xi; Liu, Wing Kam 5 2019 An inverse modeling approach for predicting filled rubber performance. Zbl 1442.65141Gao, Jiaying; Shakoor, Modesar; Jinnai, Hiroshi; Kadowaki, Hiroshi; Seta, Eisuke; Liu, Wing Kam 4 2019 A data-driven multiscale theory for modeling damage and fracture of composite materials. Zbl 1428.74229Shakoor, Modesar; Gao, Jiaying; Liu, Zeliang; Liu, Wing Kam 1 2019 A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites. Zbl 1465.74141Cheng, Yi; Cheng, Hui; Zhang, Kaifu; Jones, Kevontrez Kyvon; Gao, Jiaying; Hu, Junshan; Li, Hailin; Liu, Wing Kam 1 2019 A Computational Mechanics special issue on: Data-driven modeling and simulation – theory, methods, and applications. Zbl 1476.00073 1 2019 Microstructural material database for self-consistent clustering analysis of elastoplastic strain softening materials. Zbl 1439.74063Liu, Zeliang; Fleming, Mark; Liu, Wing Kam 23 2018 Data-driven multi-scale multi-physics models to derive process-structure-property relationships for additive manufacturing. Zbl 1471.74081Yan, Wentao; Lin, Stephen; Kafka, Orion L.; Lian, Yanping; Yu, Cheng; Liu, Zeliang; Yan, Jinhui; Wolff, Sarah; Wu, Hao; Ndip-Agbor, Ebot; Mozaffar, Mojtaba; Ehmann, Kornel; Cao, Jian; Wagner, Gregory J.; Liu, Wing Kam 17 2018 From virtual clustering analysis to self-consistent clustering analysis: a mathematical study. Zbl 1471.74079Tang, Shaoqiang; Zhang, Lei; Liu, Wing Kam 15 2018 Enriched reproducing kernel particle method for fractional advection-diffusion equation. Zbl 1404.65070Ying, Yuping; Lian, Yanping; Tang, Shaoqiang; Liu, Wing Kam 10 2018 Uncertainty quantification in multiscale simulation of woven fiber composites. Zbl 1440.74102Bostanabad, Ramin; Liang, Biao; Gao, Jiaying; Liu, Wing Kam; Cao, Jian; Zeng, Danielle; Su, Xuming; Xu, Hongyi; Li, Yang; Chen, Wei 9 2018 A parallelized three-dimensional cellular automaton model for grain growth during additive manufacturing. Zbl 1470.74072Lian, Yanping; Lin, Stephen; Yan, Wentao; Liu, Wing Kam; Wagner, Gregory J. 5 2018 An integrated process-structure-property modeling framework for additive manufacturing. Zbl 1440.74147Yan, Wentao; Lian, Yanping; Yu, Cheng; Kafka, Orion L.; Liu, Zeliang; Liu, Wing Kam; Wagner, Gregory J. 1 2018 A framework for data-driven analysis of materials under uncertainty: countering the curse of dimensionality. Zbl 1439.74014Bessa, M. A.; Bostanabad, R.; Liu, Z.; Hu, A.; Apley, Daniel W.; Brinson, C.; Chen, W.; Liu, Wing Kam 45 2017 High-order central difference scheme for Caputo fractional derivative. Zbl 1439.65101Ying, Yuping; Lian, Yanping; Tang, Shaoqiang; Liu, Wing Kam 10 2017 An enriched finite element method to fractional advection-diffusion equation. Zbl 1429.65171Luan, Shengzhi; Lian, Yanping; Ying, Yuping; Tang, Shaoqiang; Wagner, Gregory J.; Liu, Wing Kam 8 2017 A meshfree method for the fractional advection-diffusion equation. Zbl 1404.65208Lian, Yanping; Wagner, Gregory J.; Liu, Wing Kam 3 2017 Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials. Zbl 1436.74070Liu, Zeliang; Bessa, M. A.; Liu, Wing Kam 43 2016 Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Zbl 1398.74053Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre 18 2016 Linking process, structure, property, and performance for metal-based additive manufacturing: computational approaches with experimental support. Zbl 1382.74140Smith, Jacob; Xiong, Wei; Yan, Wentao; Lin, Stephen; Cheng, Puikei; Kafka, Orion L.; Wagner, Gregory J.; Cao, Jian; Liu, Wing Kam 13 2016 A Petrov-Galerkin finite element method for the fractional advection-diffusion equation. Zbl 1439.65090Lian, Yanping; Ying, Yuping; Tang, Shaoqiang; Lin, Stephen; Wagner, Gregory J.; Liu, Wing Kam 10 2016 Differential operator multiplication method for fractional differential equations. Zbl 1400.34013Tang, Shaoqiang; Ying, Yuping; Lian, Yanping; Lin, Stephen; Yang, Yibo; Wagner, Gregory J.; Liu, Wing Kam 10 2016 Thermodynamically consistent microstructure prediction of additively manufactured materials. Zbl 1382.74126Smith, Jacob; Xiong, Wei; Cao, Jian; Liu, Wing Kam 6 2016 Preface: Special issue of Computational Mechanics on “Connecting multiscale mechanics to complex material design”. Zbl 1333.00053 1 2016 Mechanics of hybrid polymer composites: analytical and computational study. Zbl 1382.74035Tavares, Rodrigo P.; Melro, António R.; Bessa, Miguel A.; Turon, Albert; Liu, Wing K.; Camanho, Pedro P. 1 2016 A statistical descriptor based volume-integral micromechanics model of heterogeneous material with arbitrary inclusion shape. Zbl 1329.74026Liu, Zeliang; Moore, John A.; Aldousari, Saad M.; Hedia, Hassan S.; Asiri, Saeed A.; Liu, Wing Kam 10 2015 Multiscale modeling of electron beam and substrate interaction: a new heat source model. Zbl 1329.74077Yan, Wentao; Smith, Jacob; Ge, Wenjun; Lin, Feng; Liu, Wing Kam 8 2015 Predicting band structure of 3D mechanical metamaterials with complex geometry via XFEM. Zbl 1334.74100Zhao, Jifeng; Li, Ying; Liu, Wing Kam 5 2015 A semi-numerical algorithm for instability of compressible multilayered structures. Zbl 1329.74289Tang, Shan; Yang, Yang; Peng, Xiang He; Liu, Wing Kam; Huang, Xiao Xu; Elkhodary, Khalil 2 2015 Advancements in multiresolution analysis. Zbl 1352.74411Moore, John A.; Li, Ying; O’Connor, Devin T.; Stroberg, Wylie; Liu, Wing Kam 1 2015 Particle method modeling of nonlocal multiresolution continua. Zbl 1342.76097Dai, Zili; Bessa, Miguel A.; Li, Shaofan; Liu, Wing Kam 1 2015 A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam 59 2014 Nonlinear finite elements for continua and structures. 2nd updated and extended ed. Zbl 1279.74002Belytschko, Ted; Liu, Wing Kam; Moran, Brian; Elkhodary, Khalil 107 2013 Concurrent multiresolution finite element: formulation and algorithmic aspects. Zbl 1398.74410Tang, Shan; Kopacz, Adrian M.; Chan O’Keeffe, Stephanie; Olson, Gregory B.; Liu, Wing Kam 8 2013 A generalized uncertainty propagation criterion from benchmark studies of microstructured material systems. Zbl 1297.74011Greene, M. Steven; Xu, Hongyi; Tang, Shan; Chen, Wei; Liu, Wing Kam 3 2013 Archetype-blending continuum theory. Zbl 1297.74087Elkhodary, Khalil I.; Steven Greene, M.; Tang, Shan; Belytschko, Ted; Liu, Wing K. 3 2013 Two-scale mechanism-based theory of nonlinear viscoelasticity. Zbl 1244.74098Tang, Shan; Greene, M. Steven; Liu, Wing Kam 12 2012 A renormalization approach to model interaction in microstructured solids: application to porous elastomer. Zbl 1253.74071Tang, Shan; Greene, M. Steven; Liu, Wing Kam 3 2012 The immersed molecular finite element method. Zbl 1253.76060Kopacz, Adrian M.; Patankar, Neelesh A.; Liu, Wing K. 2 2012 Characterization of heterogeneous solids via wave methods in computational microelasticity. Zbl 1270.74036Gonella, Stefano; Greene, M. Steven; Liu, Wing Kam 8 2011 Conforming local meshfree method. Zbl 1235.74375Tian, Rong; To, Albert C.; Liu, Wing Kam 8 2011 A domain-reduction approach to bridging-scale simulation of one-dimensional nanostructures. Zbl 1398.74049Qian, Dong; Phadke, Manas; Karpov, Eduard; Liu, Wing Kam 3 2011 Denoising methods for thermomechanical decomposition for quasi-equilibrium molecular dynamics simulations. Zbl 1228.74118To, Albert C.; Fu, Yao; Liu, Wing Kam 1 2011 Multiscale methods for mechanical science of complex materials: bridging from quantum to stochastic multiresolution continuum. Zbl 1197.74007Liu, Wing Kam; Qian, Dong; Gonella, Stefano; Li, Shaofan; Chen, Wei; Chirputkar, Shardool 17 2010 A multiresolution continuum simulation of the ductile fracture process. Zbl 1200.74127Tian, Rong; Chan, Stephanie; Tang, Shan; Kopacz, Adrian M.; Wang, Jian-Sheng; Jou, Herng-Jeng; Siad, Larbi; Lindgren, Lars-Erik; Olson, Gregory B.; Liu, Wing Kam 14 2010 Multiresolution continuum modeling of micro-void assisted dynamic adiabatic shear band propagation. Zbl 1193.74124Mcveigh, Cahal; Liu, Wing Kam 13 2010 Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory. Zbl 1225.74008Greene, M. Steven; Liu, Yu; Chen, Wei; Liu, Wing Kam 13 2010 A level set approach for optimal design of smart energy harvesters. Zbl 1231.74358Chen, Shikui; Gonella, Stefano; Chen, Wei; Liu, Wing Kam 12 2010 On computational issues of immersed finite element methods. Zbl 1158.74049Wang, X. Sheldon; Zhang, L. T.; Liu, Wing Kam 26 2009 Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting. Zbl 1177.74155Gonella, Stefano; To, Albert C.; Liu, Wing Kam 15 2009 Complexity science of multiscale materials via stochastic computations. Zbl 1176.74058Liu, Wing Kam; Siad, Larbi; Tian, Rong; Lee, Sanghoon; Lee, Dockjin; Yin, Xiaolei; Chen, Wei; Chan, Stephanie; Olson, Gregory B.; Lindgen, Lars-Erik; Horstemeyer, Mark F.; Chang, Yoon-Suk; Choi, Jae-Boong; Kim, Young Jin 13 2009 Multiresolution modeling of ductile reinforced brittle composites. Zbl 1170.74321McVeigh, Cahal; Liu, Wing Kam 11 2009 Multi-length scale micromorphic process zone model. Zbl 1166.74031Vernerey, Franck; Liu, Wing Kam; Moran, Brian; Olson, Gregory 8 2009 Multi-scale solid oxide fuel cell materials modeling. Zbl 1197.74027Kim, Ji Hoon; Liu, Wing Kam; Lee, Christopher 1 2009 Explicit numerical study of softening in porous ductile solids. Zbl 1258.74069Siad, Larbi; Liu, Wing Kam; Benabbes, Anouar 1 2009 Linking microstructure and properties through a predictive multiresolution continuum. Zbl 1159.74311McVeigh, Cahal; Liu, Wing Kam 29 2008 The immersed/fictitious element method for fluid-structure interaction: Volumetric consistency, compressibility and thin members. Zbl 1159.74437Wang, Hongwu; Chessa, Jack; Liu, Wing K.; Belytschko, Ted 25 2008 A micromorphic model for the multiple scale failure of heterogeneous materials. Zbl 1171.74312Vernerey, Franck J.; Liu, Wing Kam; Moran, Brian; Olson, Gregory 24 2008 Predictive multiscale theory for design of heterogeneous materials. Zbl 1304.74016Liu, Wing Kam; McVeigh, Cahal 20 2008 Statistical volume element method for predicting microstructure-constitutive property relations. Zbl 1194.74291Yin, Xiaolei; Chen, Wei; To, Albert; McVeigh, Cahal; Liu, Wing Kam 15 2008 Immersed finite element method for rigid body motions in the incompressible Navier-Stokes flow. Zbl 1158.76352Lee, Tae-Rin; Chang, Yoon-Suk; Choi, Jae-Boong; Kim, Do Wan; Liu, Wing Kam; Kim, Young-Jin 15 2008 Meshfree simulation of failure modes in thin cylinders subjected to combined loads of internal pressure and localized heat. Zbl 1195.74297Qian, Dong; Eason, Thomas; Li, Shaofan; Liu, Wing Kam 8 2008 Concurrent quantum/continuum coupling analysis of nanostructures. Zbl 1159.74304Qian, Dong; Liu, Wing Kam; Zheng, Qingjin 7 2008 Materials integrity in microsystems: a framework for a petascale predictive-science-based multiscale modeling and simulation system. Zbl 1421.74084To, Albert C.; Liu, Wing Kam; Olson, Gregory B.; Belytschko, Ted; Chen, Wei; Shephard, Mark S.; Chung, Yip-Wah; Ghanem, Roger; Voorhees, Peter W.; Seidman, David N.; Wolverton, Chris; Chen, J. S.; Moran, Brian; Freeman, Arthur J.; Tian, Rong; Luo, Xiaojuan; Lautenschlager, Eric; Challoner, A. Dorian 6 2008 A finite temperature continuum theory based on interatomic potential in crystalline solids. Zbl 1239.74005To, Albert C.; Liu, Wing Kam; Kopacz, Adrian 6 2008 Manipulation of nanoparticles and biomolecules by electric field and surface tension. Zbl 1158.76457Liu, Yaling; Oh, Kieseok; Bai, John G.; Chang, Cheng-Ling; Yeo, Woonhoog; Chung, Jae-Hyun; Lee, Kyong-Hoon; Liu, Wing Kam 3 2008 Multiple time scale method for atomistic simulations. Zbl 1257.74178Medyanik, Sergey N.; Liu, Wing Kam 2 2008 Simulation and prediction of endothelial cell adhesion modulated by molecular engineering. Zbl 1158.76455Kopacz, Adrian Marcin; Liu, Wing Kam; Liu, Shu Q. 2 2008 Multi-scale micromorphic theory for hierarchical materials. Zbl 1159.74314Vernerey, Franck; Liu, Wing Kam; Moran, Brian 49 2007 Mathematical foundations of the immersed finite element method. Zbl 1178.74170Liu, Wing Kam; Kim, Do Wan; Tang, Shaoqiang 40 2007 A phonon heat bath approach for the atomistic and multiscale simulation of solids. Zbl 1194.74526Karpov, E. G.; Park, H. S.; Liu, Wing Kam 29 2007 Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative. Zbl 1110.65110Kim, Do Wan; Yoon, Young-Cheol; Liu, Wing Kam; Belytschko, Ted 20 2007 Meshfree point collocation method with intrinsic enrichment for interface problems. Zbl 1161.74053Kim, Do Wan; Liu, Wing Kam; Yoon, Young-Cheol; Belytschko, Ted; Lee, Sang-Ho 19 2007 On criteria for dynamic adiabatic shear band propagation. Zbl 1238.74024Medyanik, Sergey N.; Liu, Wing Kam; Li, Shaofan 13 2007 Immersed electrokinetic finite element method. Zbl 1194.76126Liu, Yaling; Liu, Wing Kam; Belytschko, Ted; Patankar, Neelesh; To, Albert C.; Kopacz, Adrian; Chung, Jae-Hyun 12 2007 Implementation aspects of the bridging scale method and application to intersonic crack propagation. Zbl 1194.74520Farrell, David E.; Park, Harold S.; Liu, Wing Kam 7 2007 Algorithms for bridging scale method parameters. Zbl 1161.74052Farrell, D. E.; Karpov, E. G.; Liu, W. K. 3 2007 Bridging scale method and its applications. Zbl 1125.74004Liu, W. K.; Park, H. S.; Karpov, E. G.; Farrell, D. 1 2007 Immersed finite element method and its applications to biological systems. Zbl 1178.76232Liu, Wing Kam; Liu, Yaling; Farrell, David; Zhang, Lucy; Wang, X. Sheldon; Fukui, Yoshio; Patankar, Neelesh; Zhang, Yongjie; Bajaj, Chandrajit; Lee, Junghoon; Hong, Juhee; Chen, Xinyu; Hsu, Huayi 89 2006 Rheology of red blood cell aggregation by computer simulation. Zbl 1102.92010Liu, Yaling; Liu, Wing Kam 39 2006 A mathematical framework of the bridging scale method. Zbl 1117.74056Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam 32 2006 Maximum principle and convergence analysis for the meshfree point collocation method. Zbl 1155.65090Kim, Do Wan; Liu, Wing Kam 27 2006 Bridging scale methods for nanomechanics and materials. Zbl 1116.74048Liu, Wing Kam; Park, Harold S.; Qian, Dong; Karpov, Eduard G.; Kadowaki, Hiroshi; Wagner, Gregory J. 27 2006 Multiresolution analysis for material design. Zbl 1118.74040McVeigh, Cahal; Vernerey, Franck; Liu, Wing Kam; Brinson, L. Cate 26 2006 ...and 131 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,004 Authors 164 Liu, Wing Kam 112 Belytschko, Ted Bohdan 82 Tezduyar, Tayfun E. 68 Takizawa, Kenji 63 Bazilevs, Yuri 63 Liu, Gui-Rong 57 Chen, Jiun-Shyan 48 Liew, Kim Meow 45 Li, Shaofan 41 Rabczuk, Timon 40 Hughes, Thomas J. R. 34 Wang, Dongdong 29 Hsu, Ming-Chen 28 Tang, Shaoqiang 28 Wriggers, Peter 26 Combescure, Alain 24 Oñate Ibáñez de Navarra, Eugenio 23 Areias, Pedro M. A. 23 Dehghan Takht Fooladi, Mehdi 23 Li, Xiaolin 23 Zhang, Lu-Wen 22 Wagner, Gregory J. 20 Bonet, Javier 20 Fish, Jacob 19 Yan, Jinhui 18 Gravouil, Anthony 18 Huerta, Antonio 18 Zhang, Lucy T. 17 Natal Jorge, Renato Manuel 16 Belinha, Jorge 16 Benson, David J. 16 Bordas, Stéphane Pierre Alain 16 Idelsohn, Sergio Rodolfo 16 Li, Guangyao 16 Qian, Dong 16 Tang, Shan 16 Wen, Pihua 16 Zhuang, Xiaoying 15 Gu, Yuantong 15 Kiendl, Josef 15 Li, Xikui 15 Oden, John Tinsley 15 Park, Harold S. 15 Zhang, GuiYong 15 Zheng, Hong 14 Cruchaga, Marcela A. 14 Doblaré, Manuel 14 Duan, Qinglin 14 Lian, Yanping 14 Ouyang, Jie 14 Schillinger, Dominik 14 Simo, Juan Carlos 14 Steinmann, Paul 14 To, Albert C. 14 Vernerey, Franck J. 14 Wu, Cheng-Tang 14 Zhang, Aman 14 Zhang, Zhiqian 13 Betsch, Peter 13 Bletzinger, Kai-Uwe 13 Cueto, Elias 13 Gil, Antonio J. 13 Nguyen-Xuan, Hung 13 Waisman, Haim 13 Wall, Wolfgang A. 13 Wick, Thomas 13 Wüchner, Roland 12 Bui, Tinh Quoc 12 Cheng, Yumin 12 Han, Xu 12 Hillman, Michael C. 12 Hopperstad, Odd Sture 12 Korobenko, Artem 12 Masud, Arif 12 Reese, Stefanie 12 Shivanian, Elyas 12 Wang, Lihua 12 Zhang, Chuanzeng 11 Chi, Sheng-Wei 11 Karpov, Eduard G. 11 Khoei, Amir R. 11 Li, Xiantao 11 Oh, Hae-Soo 11 Shu, Chang 11 Smolinski, Patrick 11 Sun, WaiChing 11 Tian, Xiaochuan 11 Wei, Guowei 10 Argyris, John Hadji 10 Bourantas, George C. 10 Chen, Wei 10 Cheng, Rongjun 10 Codina, Ramon 10 Du, Qiang 10 Guo, Xu 10 Im, Seyoung 10 Kiani, Keivan 10 Liu, Yinghua 10 Liu, Zeliang 10 Owen, David Roger Jones ...and 5,904 more Authors all top 5 Cited in 195 Serials 1,167 Computer Methods in Applied Mechanics and Engineering 507 Computational Mechanics 439 International Journal for Numerical Methods in Engineering 278 Engineering Analysis with Boundary Elements 250 Journal of Computational Physics 106 Computers and Fluids 87 International Journal of Computational Methods 81 Applied Mathematical Modelling 62 International Journal for Numerical Methods in Fluids 55 Applied Mathematics and Computation 53 European Journal of Mechanics. 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Technological Sciences 3 Journal of Theoretical Biology 2 International Journal of Modern Physics B 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Biology 2 Chaos, Solitons and Fractals 2 BIT 2 Computing 2 Finite Elements in Analysis and Design 2 Journal of Elasticity 2 Journal of Non-Newtonian Fluid Mechanics 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 International Applied Mechanics 2 Mathematical and Computer Modelling of Dynamical Systems 2 SIAM Journal on Applied Dynamical Systems 2 Granular Matter 2 International Journal of Wavelets, Multiresolution and Information Processing 2 International Journal of Numerical Analysis and Modeling 2 Journal of Shanghai Jiaotong University (Science) ...and 95 more Serials all top 5 Cited in 39 Fields 2,843 Mechanics of deformable solids (74-XX) 1,588 Numerical analysis (65-XX) 1,216 Fluid mechanics (76-XX) 317 Partial differential equations (35-XX) 196 Biology and other natural sciences (92-XX) 126 Classical thermodynamics, heat transfer (80-XX) 106 Statistical mechanics, structure of matter (82-XX) 60 Mechanics of particles and systems (70-XX) 50 Optics, electromagnetic theory (78-XX) 43 Computer science (68-XX) 38 Probability theory and stochastic processes (60-XX) 27 Geophysics (86-XX) 26 Ordinary differential equations (34-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 25 Statistics (62-XX) 18 Operations research, mathematical programming (90-XX) 17 Quantum theory (81-XX) 16 Approximations and expansions (41-XX) 15 Integral equations (45-XX) 14 Real functions (26-XX) 14 Dynamical systems and ergodic theory (37-XX) 12 Systems theory; control (93-XX) 7 Functional analysis (46-XX) 6 Differential geometry (53-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year