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Author ID: liu.wing-kam Recent zbMATH articles by "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.
Homepage: http://www.mccormick.northwestern.edu/research-faculty/directory/profiles/liu-ka...
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all top 5

Co-Authors

3 single-authored
54 Belytschko, Ted Bohdan
26 Li, Shaofan
26 Wagner, Gregory J.
18 Tang, Shaoqiang
16 Tang, Shan
15 Karpov, Eduard G.
13 Park, Harold S.
12 Qian, Dong
10 Chen, Wei
10 Gao, Jiaying
10 Hao, Su
10 Hughes, Thomas J. R.
10 Kafka, Orion L.
10 Lian, Yanping
10 Zhang, Lucy T.
9 Cao, Jian
9 Yu, Cheng
9 Zhang, Lei
8 Guo, Xu
8 Li, Hengyang
8 Liu, Zeliang
8 Lu, Ye
8 Mojumder, Satyajit
8 Park, Chanwook
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 Saha, Sourav
7 To, Albert C.
7 Zhang, Yifei
6 Bessa, Miguel A.
6 Guo, Jiachen
6 Kim, Do Wan
6 Lin, Stephen Ching-Feng
6 Ong, Jame Shau-Jen
6 Smith, Jacob W.
6 Wang, Xiaodong
6 Yan, Wentao
5 Chen, Yijung
5 Fleming, Mark
5 Jun, Sukky
5 Kadowaki, Hiroshi
5 Liu, Yaling
5 Vernerey, Franck J.
5 Yang, Hang
5 Ying, Yuping
4 Apley, Daniel W.
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 Gan, Zhengtao
3 Guo, Yong
3 Knapik, Stefan
3 Li, Yangfan
3 Lindgren, Lars-Erik
3 Medyanik, Sergey N.
3 Patankar, Neelesh A.
3 Rosakis, Ares J.
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 F.
2 Chang, Yoon-Suk
2 Cheng, Lin
2 Choi, Jae-Boong
2 Chung, Jaehyun
2 Günther, Frank C.
2 Guo, Tianfu
2 Hou, Thomas Yizhao
2 Huang, Owen
2 Huerta, Antonio
2 Jones, Kevontrez Kyvon
2 Kennedy, James M.
2 Kim, Youngjin
2 Klein, Patrick A.
2 Lua, Yuan Jie
2 Moore, John A.
2 Qiu, Hai
2 Smolinski, Patrick
2 Wang, Qian Jane
2 Xie, Xiaoyu
2 Xiong, Wei
...and 180 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

245 Publications have been cited 9,960 times in 5,025 Documents Cited by Year
Reproducing kernel particle methods. Zbl 0881.76072
Liu, Wing Kam; Jun, Sukky; Zhang, Yi Fei
1995
Nonlinear finite elements for continua and structures. Zbl 0959.74001
Belytschko, Ted; Liu, Wing Kam; Moran, Brian
594
2000
Lagrangian-Eulerian finite element formulation for incompressible viscous flows. Zbl 0482.76039
Hughes, Thomas J. R.; Liu, Wing Kam; Zimmermann, Thomas K.
523
1981
Reproducing kernel particle methods for structural dynamics. Zbl 0840.73078
Liu, Wing Kam; Jun, Sukky; Li, Shaofan; Adee, Jonathan; Belytschko, Ted
317
1995
Reproducing kernel particle methods for large deformation analysis of nonlinear structures. Zbl 0918.73330
Chen, Jiun-Shyan; Pan, Chunhui; Wu, Cheng-Tang; Liu, Wing Kam
315
1996
Moving least-square reproducing kernel methods. I: Methodology and convergence. Zbl 0883.65088
Liu, Wing Kam; Li, Shaofan; Belytschko, Ted
223
1997
Immersed finite element method. Zbl 1067.76576
Zhang, Lucy; Gerstenberger, Axel; Wang, Xiaodong; Liu, Wing Kam
213
2004
Meshfree particle methods. Zbl 1073.65002
Li, Shaofan; Liu, Wing Kam
204
2004
Coupling of atomistic and continuum simulations using a bridging scale decomposition. Zbl 1169.74635
Wagner, Gregory J.; Liu, Wing Kam
192
2003
Nonlinear finite elements for continua and structures. 2nd updated and extended ed. Zbl 1279.74002
Belytschko, Ted; Liu, Wing Kam; Moran, Brian; Elkhodary, Khalil
172
2013
Hourglass control in linear and nonlinear problems. Zbl 0522.73063
Belytschko, Ted; Ong, Jame Shau-Jen; Liu, Wing Kam; Kennedy, James M.
160
1984
Stress projection for membrane and shear locking in shell finite elements. Zbl 0581.73091
Belytschko, Ted; Stolarski, Henryk; Liu, Wing Kam; Carpenter, Nicholas; Ong, Jame Shau-Jen
156
1985
A unified stability analysis of meshless particle methods. Zbl 0972.74078
Belytschko, Ted; Guo, Yong; Liu, Wing Kam; Xiao, Shao Ping
150
2000
Finite element analysis of incompressible viscous flows by the penalty function formulation. Zbl 0412.76023
Hughes, Thomas J. R.; Liu, Wing Kam; Brooks, Alec
136
1979
Reproducing kernel hierarchical partition of unity. I: Formulation and theory. II: Applications. Zbl 0945.74079
Li, Shaofan; Liu, Wing Kam
128
1999
Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials. Zbl 1436.74070
Liu, Zeliang; Bessa, M. A.; Liu, Wing Kam
123
2016
Nonlinear finite element analysis of shells. I. Three-dimensional shells. Zbl 0461.73061
Hughes, Thomas J. R.; Liu, Wing Kam
121
1981
Implicit-explicit finite elements in transient analysis: Stability theory. Zbl 0392.73076
Hughes, T. J. R.; Liu, W. K.
116
1978
Random field finite elements. Zbl 0597.73075
Liu, Wing Kam; Belytschko, Ted; Mani, A.
114
1986
Viscous flow with large free surface motion. Zbl 0655.76032
Huerta, Antonio; Liu, Wing Kam
110
1988
A framework for data-driven analysis of materials under uncertainty: countering the curse of dimensionality. Zbl 1439.74014
Bessa, M. A.; Bostanabad, R.; Liu, Z.; Hu, A.; Apley, Daniel W.; Brinson, C.; Chen, W.; Liu, Wing Kam
104
2017
Immersed finite element method and its applications to biological systems. Zbl 1178.76232
Liu, 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
99
2006
Wavelet and multiple scale reproducing kernel methods. Zbl 0885.76078
Liu, Wing Kam; Chen, Yijung
99
1995
Reproducing kernel element method. I: Theoretical formulation. Zbl 1060.74670
Liu, Wing Kam; Han, Weimin; Lu, Hongsheng; Li, Shaofan; Cao, Jian
94
2004
Smoothing and accelerated computations in the element free Galerkin method. Zbl 0862.73058
Belytschko, Ted; Krongauz, Yury; Fleming, Mark; Organ, Daniel; Liu, Wing Kam Snm
93
1996
An introduction to computational nanomechanics and materials. Zbl 1079.74506
Liu, W. K.; Karpov, E. G.; Zhang, S.; Park, H. S.
90
2004
Generalized multiple scale reproducing kernel particle methods. Zbl 0896.76069
Liu, Wing Kam; Chen, Yijung; Uras, R. Aziz; Chang, Chin Tang
88
1996
Extended immersed boundary method using FEM and RKPM. Zbl 1060.74676
Wang, Xiaodong; Liu, Wing Kam
87
2004
Implicit-explicit finite elements in transient analysis: Implementation and numerical examples. Zbl 0392.73077
Hughes, T. J. R.; Liu, W. K.
85
1978
A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam
78
2014
Finite-element methods for nonlinear elastodynamics which conserve energy. Zbl 0392.73075
Hughes, T. J. R.; Caughey, T. K.; Liu, W. K.
77
1978
Moving least-square reproducing kernel method. II: Fourier analysis. Zbl 0883.65089
Li, Shaofan; Liu, Wing Kam
70
1996
Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua. Zbl 0626.73076
Liu, Wing Kam; Chang, Herman; Chen, Jiun-Shyan; Belytschko, Ted
69
1988
Finite element stabilization matrices - A unification approach. Zbl 0553.73065
Liu, Wingkam; Ong, Jame Shau-Jen; Uras, Rasim Aziz
65
1985
Numerical simulations of large deformation of thin shell structures using meshfree methods. Zbl 0978.74087
Li, S.; Hao, W.; Liu, W. K.
63
2000
Enrichment of the finite element method with the reproducing kernel particle method. Zbl 0920.73366
Liu, Wing Kam; Uras, R. A.; Chen, Y.
60
1997
Probabilistic finite elements for nonlinear structural dynamics. Zbl 0576.73066
Liu, Wing Kam; Belytschko, Ted; Mani, A.
58
1986
Nonlinear finite element analysis of shells. II. Two-dimensional shells. Zbl 0474.73093
Hughes, Thomas J. R.; Liu, Wing Kam
56
1981
The extended finite element method for rigid particles in Stokes flow. Zbl 0998.76054
Wagner, G. J.; Moës, N.; Liu, W. K.; Belytschko, T.
56
2001
Meshless methods for shear-deformable beams and plates. Zbl 0959.74079
Donning, Brian M.; Liu, Wing Kam
56
1998
Microstructural material database for self-consistent clustering analysis of elastoplastic strain softening materials. Zbl 1439.74063
Liu, Zeliang; Fleming, Mark; Liu, Wing Kam
55
2018
Multi-scale micromorphic theory for hierarchical materials. Zbl 1159.74314
Vernerey, Franck; Liu, Wing Kam; Moran, Brian
54
2007
Reproducing kernel element method. II: Globally conforming \(I^m/C^n\) hierarchies. Zbl 1093.74062
Li, Shaofan; Lu, Hongsheng; Han, Weimin; Liu, Wing Kam; Simkins, Daniel C.
52
2004
A multiscale projection method for the analysis of carbon nanotubes. Zbl 1079.74595
Qian, Dong; Wagner, Gregory J.; Liu, Wing Kam
51
2004
Synchronized reproducing kernel interpolant via multiple wavelet expansion. Zbl 0912.76057
Li, S.; Liu, W. K.
49
1998
Rheology of red blood cell aggregation by computer simulation. Zbl 1102.92010
Liu, Yaling; Liu, Wing Kam
47
2006
Resultant-stress degenerated-shell element. Zbl 0587.73113
Liu, Wing K.; Law, E. S.; Lam, D.; Belytschko, T.
47
1986
Advances in multiple scale kernel particle methods. Zbl 0868.73091
Liu, W. K.; Chen, Y.; Chang, C. T.; Belytschko, T.
47
1996
Implementation of boundary conditions for meshless methods. Zbl 0963.76068
Günther, Frank C.; Liu, Wing Kam
47
1998
A multiple-quadrature eight-mode hexahedral finite element for large deformation elastoplastic analysis. Zbl 0935.74068
Liu, Wing Kam; Guo, Yong; Tang, Sing; Belytschko, Ted
46
1998
An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials. Zbl 0585.73117
Liu, Wing Kam; Belytschko, Ted; Chang, Herman
45
1986
A Green’s function approach to deriving non-reflecting boundary conditions in molecular dynamics simulations. Zbl 1080.74050
Karpov, E. G.; Wagner, G. J.; Liu, Wing Kam
45
2005
Mathematical foundations of the immersed finite element method. Zbl 1178.74170
Liu, Wing Kam; Kim, Do Wan; Tang, Shaoqiang
44
2007
Hierarchical enrichment for bridging scales and mesh-free boundary conditions. Zbl 1006.76073
Wagner, Gregory J.; Liu, Wing Kam
42
2001
Explicit reproducing kernel particle methods for large deformation problems. Zbl 0909.73088
Jun, Sukky; Liu, Wing Kam; Belytschko, Ted
41
1998
Multiple-scale reproducing kernel particle methods for large deformation problems. Zbl 0916.73060
Liu, Wing Kam; Jun, Sukky
41
1998
Application of essential boundary conditions in mesh-free methods: A corrected collocation method. Zbl 0965.76069
Wagner, Gregory J.; Liu, Wing Kam
41
2000
Mesh-free Galerkin simulations of dynamic shear band propagation and failure mode transition. Zbl 1090.74698
Li, Shaofan; Liu, Wing Kam; Rosakis, Ares J.; Belytschko, Ted; Hao, Wei
40
2002
Multiresolution reproducing kernel particle method for computational fluid dynamics. Zbl 0880.76057
Liu, Wing Kam; Jun, Sukky; Sihling, Dirk Thomas; Chen, Yijung; Hao, Wei
40
1997
Molecular dynamics boundary conditions for regular crystal lattices. Zbl 1079.74526
Wagner, Gregory J.; Karpov, Eduard G.; Liu, Wing Kam
36
2004
Reproducing kernel element method. III: Generalized enrichment and applications. Zbl 1060.74671
Lu, Hongsheng; Li, Shaofan; Simkins, Daniel C. jun.; Liu, Wing Kam; Cao, Jian
36
2004
Three-dimensional bridging scale analysis of dynamic fracture. Zbl 1213.74267
Park, Harold S.; Karpov, Eduard G.; Klein, Patrick A.; Liu, Wing Kam
36
2005
Reproducing kernel element method. IV: Globally compatible \(C^n\) (\(n\geqslant 1\)) triangular hierarchy. Zbl 1093.74064
Simkins, Daniel C. jun.; Li, Shaofan; Lu, Hongsheng; Liu, Wing Kam
35
2004
Mesh-free simulations of shear banding in large deformation. Zbl 0995.74082
Li, Shaofan; Hao, Wei; Liu, Wing Kam
35
2000
A mathematical framework of the bridging scale method. Zbl 1117.74056
Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam
34
2006
A stabilization matrix for the bilinear Mindlin plate element. Zbl 0474.73091
Belytschko, T.; Tsay, C. S.; Liu, W. K.
34
1981
Multiresolution analysis for material design. Zbl 1118.74040
McVeigh, Cahal; Vernerey, Franck; Liu, Wing Kam; Brinson, L. Cate
34
2006
Bridging multi-scale method for localization problems. Zbl 1060.74504
Kadowaki, Hiroshi; Liu, Wing Kam
34
2004
Admissible approximations for essential boundary conditions in the reproducing kernel particle method. Zbl 0889.73078
Gosz, J.; Liu, W. K.
33
1996
Linking microstructure and properties through a predictive multiresolution continuum. Zbl 1159.74311
McVeigh, Cahal; Liu, Wing Kam
32
2008
Bridging scale methods for nanomechanics and materials. Zbl 1116.74048
Liu, Wing Kam; Park, Harold S.; Qian, Dong; Karpov, Eduard G.; Kadowaki, Hiroshi; Wagner, Gregory J.
32
2006
An introduction and tutorial on multiple-scale analysis in solids. Zbl 1079.74508
Park, Harold S.; Liu, Wing Kam
32
2004
Data-driven self-consistent clustering analysis of heterogeneous materials with crystal plasticity. Zbl 1493.74017
Liu, Zeliang; Kafka, Orion L.; Yu, Cheng; Liu, Wing Kam
32
2018
Multiple quadrature underintegrated finite elements. Zbl 0811.73063
Liu, Wing Kam; Hu, Yu-Kan; Belytschko, Ted
31
1994
Stability of multi-time step partitioned integrators for first-order finite element systems. Zbl 0599.65060
Belytschko, Ted; Smolinski, Patrick; Liu, Wing Kam
31
1985
Hierarchical deep learning neural network (HiDeNN): an artificial intelligence (AI) framework for computational science and engineering. Zbl 1506.68110
Saha, Sourav; Gan, Zhengtao; Cheng, Lin; Gao, Jiaying; Kafka, Orion L.; Xie, Xiaoyu; Li, Hengyang; Tajdari, Mahsa; Kim, H. Alicia; Liu, Wing Kam
31
2021
A phonon heat bath approach for the atomistic and multiscale simulation of solids. Zbl 1194.74526
Karpov, E. G.; Park, H. S.; Liu, Wing Kam
30
2007
An improved reproducing kernel particle method for nearly incompressible finite elasticity. Zbl 0973.74088
Chen, Jiun-Shyan; Yoon, Sangpil; Wang, Hui-Ping; Liu, Wing Kam
30
2000
Numerical simulations of strain localization in inelastic solids using mesh-free methods. Zbl 1052.74618
Li, Shaofan; Liu, Wing Kam
30
2000
Efficient linear and nonlinear heat conduction with a quadrilateral element. Zbl 0542.65067
Liu, Wing Kam; Belytschko, Ted
29
1984
Mixed-time implicit-explicit finite elements for transient analysis. Zbl 0488.73071
Liu, W. K.; Belytschko, T.
28
1982
On computational issues of immersed finite element methods. Zbl 1158.74049
Wang, X. Sheldon; Zhang, L. T.; Liu, Wing Kam
28
2009
Coupling of Navier-Stokes equations with protein molecular dynamics and its application to hemodynamics. Zbl 1135.92302
Liu, Yaling; Zhang, Lucy; Wang, Xiaodong; Liu, Wing Kam
28
2004
A micromorphic model for the multiple scale failure of heterogeneous materials. Zbl 1171.74312
Vernerey, Franck J.; Liu, Wing Kam; Moran, Brian; Olson, Gregory
27
2008
A parallelized meshfree method with boundary enrichment for large-scale CFD. Zbl 1060.76096
Zhang, Lucy T.; Wagner, Gregory J.; Liu, Wing K.
27
2002
Maximum principle and convergence analysis for the meshfree point collocation method. Zbl 1155.65090
Kim, Do Wan; Liu, Wing Kam
27
2006
The immersed/fictitious element method for fluid-structure interaction: Volumetric consistency, compressibility and thin members. Zbl 1159.74437
Wang, Hongwu; Chessa, Jack; Liu, Wing K.; Belytschko, Ted
26
2008
Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Zbl 1398.74053
Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre
26
2016
Clustering discretization methods for generation of material performance databases in machine learning and design optimization. Zbl 1470.74073
Li, 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
25
2019
From virtual clustering analysis to self-consistent clustering analysis: a mathematical study. Zbl 1471.74079
Tang, Shaoqiang; Zhang, Lei; Liu, Wing Kam
25
2018
A pseudo-spectral multiscale method: interfacial conditions and coarse grid equations. Zbl 1089.65110
Tang, Shaoqiang; Hou, Thomas Y.; Liu, Wing Kam
24
2006
Computer implementation aspects for fluid structure interaction problems. Zbl 0478.73061
Liu, Wing Kam; Ma, David C.
23
1982
Implementation and application of a 9-node Lagrange shell element with spurious mode control. Zbl 0581.73089
Belytschko, Ted; Liu, Wing-Kam; Ong, Jame Shau-Jen; Lam, Dennis
23
1985
Self-consistent clustering analysis for multiscale modeling at finite strains. Zbl 1441.74309
Yu, Cheng; Kafka, Orion L.; Liu, Wing Kam
23
2019
A Petrov-Galerkin finite element method for the fractional advection-diffusion equation. Zbl 1439.65090
Lian, Yanping; Ying, Yuping; Tang, Shaoqiang; Lin, Stephen; Wagner, Gregory J.; Liu, Wing Kam
23
2016
Data-driven multi-scale multi-physics models to derive process-structure-property relationships for additive manufacturing. Zbl 1471.74081
Yan, 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
23
2018
A temperature equation for coupled atomistic/continuum simulations. Zbl 1079.74507
Park, Harold S.; Karpov, Eduard G.; Liu, Wing Kam
22
2004
Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative. Zbl 1110.65110
Kim, Do Wan; Yoon, Young-Cheol; Liu, Wing Kam; Belytschko, Ted
21
2007
Meshfree point collocation method with intrinsic enrichment for interface problems. Zbl 1161.74053
Kim, Do Wan; Liu, Wing Kam; Yoon, Young-Cheol; Belytschko, Ted; Lee, Sang-Ho
21
2007
Predictive multiscale theory for design of heterogeneous materials. Zbl 1304.74016
Liu, Wing Kam; McVeigh, Cahal
21
2008
JAX-FEM: a differentiable GPU-accelerated 3D finite element solver for automatic inverse design and mechanistic data science. Zbl 1526.74068
Xue, Tianju; Liao, Shuheng; Gan, Zhengtao; Park, Chanwook; Xie, Xiaoyu; Liu, Wing Kam; Cao, Jian
4
2023
Convolution hierarchical deep-learning neural network (C-HiDeNN) with graphics processing unit (GPU) acceleration. Zbl 07719578
Park, Chanwook; Lu, Ye; Saha, Sourav; Xue, Tianju; Guo, Jiachen; Mojumder, Satyajit; Apley, Daniel W.; Wagner, Gregory J.; Liu, Wing Kam
3
2023
Deep learning discrete calculus (DLDC): a family of discrete numerical methods by universal approximation for STEM education to frontier research. Zbl 07719575
Saha, Sourav; Park, Chanwook; Knapik, Stefan; Guo, Jiachen; Huang, Owen; Liu, Wing Kam
2
2023
Convolution hierarchical deep-learning neural networks (C-HiDeNN): finite elements, isogeometric analysis, tensor decomposition, and beyond. Zbl 1527.74082
Lu, Ye; Li, Hengyang; Zhang, Lei; Park, Chanwook; Mojumder, Satyajit; Knapik, Stefan; Sang, Zhongsheng; Tang, Shaoqiang; Apley, Daniel W.; Wagner, Gregory J.; Liu, Wing Kam
2
2023
Convolution hierarchical deep-learning neural network tensor decomposition (C-HiDeNN-TD) for high-resolution topology optimization. Zbl 1524.74386
Li, Hengyang; Knapik, Stefan; Li, Yangfan; Park, Chanwook; Guo, Jiachen; Mojumder, Satyajit; Lu, Ye; Chen, Wei; Apley, Daniel W.; Liu, Wing Kam
2
2023
HiDeNN-TD: reduced-order hierarchical deep learning neural networks. Zbl 1507.65285
Zhang, Lei; Lu, Ye; Tang, Shaoqiang; Liu, Wing Kam
11
2022
Mechanistically informed data-driven modeling of cyclic plasticity via artificial neural networks. Zbl 1507.74082
Liu, Daoping; Yang, Hang; Elkhodary, K. I.; Tang, Shan; Liu, Wing Kam; Guo, Xu
3
2022
Concurrent \(n\)-scale modeling for non-orthogonal woven composite. Zbl 1501.74069
Gao, Jiaying; Mojumder, Satyajit; Zhang, Weizhao; Li, Hengyang; Suarez, Derick; He, Chunwang; Cao, Jian; Liu, Wing Kam
2
2022
Hierarchical deep learning neural network (HiDeNN): an artificial intelligence (AI) framework for computational science and engineering. Zbl 1506.68110
Saha, Sourav; Gan, Zhengtao; Cheng, Lin; Gao, Jiaying; Kafka, Orion L.; Xie, Xiaoyu; Li, Hengyang; Tajdari, Mahsa; Kim, H. Alicia; Liu, Wing Kam
31
2021
Hierarchical deep-learning neural networks: finite elements and beyond. Zbl 07360501
Zhang, Lei; Cheng, Lin; Li, Hengyang; Gao, Jiaying; Yu, Cheng; Domel, Reno; Yang, Yang; Tang, Shaoqiang; Liu, Wing Kam
17
2021
Multiresolution clustering analysis for efficient modeling of hierarchical material systems. Zbl 1468.74092
Yu, Cheng; Kafka, Orion L.; Liu, Wing Kam
7
2021
MAP123-EPF: a mechanistic-based data-driven approach for numerical elastoplastic modeling at finite strain. Zbl 1506.74069
Tang, Shan; Yang, Hang; Qiu, Hai; Fleming, Mark; Liu, Wing Kam; Guo, Xu
5
2021
Image-based modelling for adolescent idiopathic scoliosis: mechanistic machine learning analysis and prediction. Zbl 1506.92016
Tajdari, Mahsa; Pawar, Aishwarya; Li, Hengyang; Tajdari, Farzam; Maqsood, Ayesha; Cleary, Emmett; Saha, Sourav; Zhang, Yongjie Jessica; Sarwark, John F.; Liu, Wing Kam
4
2021
Efficient multiscale modeling for woven composites based on self-consistent clustering analysis. Zbl 1442.74057
Han, Xinxing; Gao, Jiaying; Fleming, Mark; Xu, Chenghai; Xie, Weihua; Meng, Songhe; Liu, Wing Kam
14
2020
MAP123-EP: a mechanistic-based data-driven approach for numerical elastoplastic analysis. Zbl 1442.74044
Tang, Shan; Li, Ying; Qiu, Hai; Yang, Hang; Saha, Sourav; Mojumder, Satyajit; Liu, Wing Kam; Guo, Xu
9
2020
Adaptive hyper reduction for additive manufacturing thermal fluid analysis. Zbl 1506.76143
Lu, Ye; Jones, Kevontrez Kyvon; Gan, Zhengtao; Liu, Wing Kam
4
2020
Analytical expression of RKPM shape functions. Zbl 1467.74094
Zhang, Lei; Tang, Shaoqiang; Liu, Wing Kam
3
2020
Clustering discretization methods for generation of material performance databases in machine learning and design optimization. Zbl 1470.74073
Li, 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
25
2019
Self-consistent clustering analysis for multiscale modeling at finite strains. Zbl 1441.74309
Yu, Cheng; Kafka, Orion L.; Liu, Wing Kam
23
2019
Derivation of heterogeneous material laws via data-driven principal component expansions. Zbl 1467.74013
Yang, Hang; Guo, Xu; Tang, Shan; Liu, Wing Kam
21
2019
Phase field modeling of fracture in nonlinearly elastic solids via energy decomposition. Zbl 1440.74038
Tang, Shan; Zhang, Gang; Guo, Tian Fu; Guo, Xu; Liu, Wing Kam
16
2019
MAP123: a data-driven approach to use 1D data for 3D nonlinear elastic materials modeling. Zbl 1442.65417
Tang, Shan; Zhang, Gang; Yang, Hang; Li, Ying; Liu, Wing Kam; Guo, Xu
16
2019
Data science for finite strain mechanical science of ductile materials. Zbl 1467.74017
Shakoor, Modesar; Kafka, Orion L.; Yu, Cheng; Liu, Wing Kam
15
2019
Fast calculation of interaction tensors in clustering-based homogenization. Zbl 1467.74100
Zhang, Lei; Tang, Shaoqiang; Yu, Cheng; Zhu, Xi; Liu, Wing Kam
10
2019
Powder-scale multi-physics modeling of multi-layer multi-track selective laser melting with sharp interface capturing method. Zbl 1468.74014
Wang, Zekun; Yan, Wentao; Liu, Wing Kam; Liu, Moubin
8
2019
Fracture in tension-compression-asymmetry solids via phase field modeling. Zbl 1442.74025
Zhang, Gang; Guo, Tian Fu; Guo, Xu; Tang, Shan; Fleming, Mark; Liu, Wing Kam
7
2019
An inverse modeling approach for predicting filled rubber performance. Zbl 1442.65141
Gao, Jiaying; Shakoor, Modesar; Jinnai, Hiroshi; Kadowaki, Hiroshi; Seta, Eisuke; Liu, Wing Kam
5
2019
A Computational Mechanics special issue on: Data-driven modeling and simulation – theory, methods, and applications. Zbl 1476.00073
5
2019
A data-driven multiscale theory for modeling damage and fracture of composite materials. Zbl 1428.74229
Shakoor, Modesar; Gao, Jiaying; Liu, Zeliang; Liu, Wing Kam
2
2019
Large eddy simulation of turbulent flow over and through a rough permeable bed. Zbl 1410.76098
Lian, Y. P.; Dallmann, J.; Sonin, B.; Roche, K. R.; Liu, W. K.; Packman, A. I.; Wagner, G. J.
1
2019
A sequential homogenization of multi-coated micromechanical model for functionally graded interphase composites. Zbl 1465.74141
Cheng, Yi; Cheng, Hui; Zhang, Kaifu; Jones, Kevontrez Kyvon; Gao, Jiaying; Hu, Junshan; Li, Hailin; Liu, Wing Kam
1
2019
Microstructural material database for self-consistent clustering analysis of elastoplastic strain softening materials. Zbl 1439.74063
Liu, Zeliang; Fleming, Mark; Liu, Wing Kam
55
2018
Data-driven self-consistent clustering analysis of heterogeneous materials with crystal plasticity. Zbl 1493.74017
Liu, Zeliang; Kafka, Orion L.; Yu, Cheng; Liu, Wing Kam
32
2018
From virtual clustering analysis to self-consistent clustering analysis: a mathematical study. Zbl 1471.74079
Tang, Shaoqiang; Zhang, Lei; Liu, Wing Kam
25
2018
Data-driven multi-scale multi-physics models to derive process-structure-property relationships for additive manufacturing. Zbl 1471.74081
Yan, 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
23
2018
Uncertainty quantification in multiscale simulation of woven fiber composites. Zbl 1440.74102
Bostanabad, Ramin; Liang, Biao; Gao, Jiaying; Liu, Wing Kam; Cao, Jian; Zeng, Danielle; Su, Xuming; Xu, Hongyi; Li, Yang; Chen, Wei
17
2018
Enriched reproducing kernel particle method for fractional advection-diffusion equation. Zbl 1404.65070
Ying, Yuping; Lian, Yanping; Tang, Shaoqiang; Liu, Wing Kam
13
2018
A parallelized three-dimensional cellular automaton model for grain growth during additive manufacturing. Zbl 1470.74072
Lian, Yanping; Lin, Stephen; Yan, Wentao; Liu, Wing Kam; Wagner, Gregory J.
10
2018
An integrated process-structure-property modeling framework for additive manufacturing. Zbl 1440.74147
Yan, Wentao; Lian, Yanping; Yu, Cheng; Kafka, Orion L.; Liu, Zeliang; Liu, Wing Kam; Wagner, Gregory J.
5
2018
Special issue on additive manufacturing: progress in modeling and simulation with experimental validations in additive manufacturing. Zbl 1405.00023
1
2018
A framework for data-driven analysis of materials under uncertainty: countering the curse of dimensionality. Zbl 1439.74014
Bessa, M. A.; Bostanabad, R.; Liu, Z.; Hu, A.; Apley, Daniel W.; Brinson, C.; Chen, W.; Liu, Wing Kam
104
2017
High-order central difference scheme for Caputo fractional derivative. Zbl 1439.65101
Ying, Yuping; Lian, Yanping; Tang, Shaoqiang; Liu, Wing Kam
17
2017
An enriched finite element method to fractional advection-diffusion equation. Zbl 1429.65171
Luan, Shengzhi; Lian, Yanping; Ying, Yuping; Tang, Shaoqiang; Wagner, Gregory J.; Liu, Wing Kam
11
2017
A meshfree method for the fractional advection-diffusion equation. Zbl 1404.65208
Lian, Yanping; Wagner, Gregory J.; Liu, Wing Kam
8
2017
An energetically consistent concurrent multiscale method for heterogeneous heat transfer and phase transition applications. Zbl 1439.74442
Lin, Stephen; Smith, Jacob; Liu, Wing Kam; Wagner, Gregory J.
1
2017
Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials. Zbl 1436.74070
Liu, Zeliang; Bessa, M. A.; Liu, Wing Kam
123
2016
Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization. Zbl 1398.74053
Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain; Liu, Wing Kam; Kerfriden, Pierre
26
2016
A Petrov-Galerkin finite element method for the fractional advection-diffusion equation. Zbl 1439.65090
Lian, Yanping; Ying, Yuping; Tang, Shaoqiang; Lin, Stephen; Wagner, Gregory J.; Liu, Wing Kam
23
2016
Linking process, structure, property, and performance for metal-based additive manufacturing: computational approaches with experimental support. Zbl 1382.74140
Smith, Jacob; Xiong, Wei; Yan, Wentao; Lin, Stephen; Cheng, Puikei; Kafka, Orion L.; Wagner, Gregory J.; Cao, Jian; Liu, Wing Kam
15
2016
Differential operator multiplication method for fractional differential equations. Zbl 1400.34013
Tang, 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 1382.74126
Smith, Jacob; Xiong, Wei; Cao, Jian; Liu, Wing Kam
9
2016
Mechanics of hybrid polymer composites: analytical and computational study. Zbl 1382.74035
Tavares, Rodrigo P.; Melro, António R.; Bessa, Miguel A.; Turon, Albert; Liu, Wing K.; Camanho, Pedro P.
3
2016
Preface: Special issue of Computational Mechanics on “Connecting multiscale mechanics to complex material design”. Zbl 1333.00053
1
2016
A statistical descriptor based volume-integral micromechanics model of heterogeneous material with arbitrary inclusion shape. Zbl 1329.74026
Liu, Zeliang; Moore, John A.; Aldousari, Saad M.; Hedia, Hassan S.; Asiri, Saeed A.; Liu, Wing Kam
14
2015
Predicting band structure of 3D mechanical metamaterials with complex geometry via XFEM. Zbl 1334.74100
Zhao, Jifeng; Li, Ying; Liu, Wing Kam
9
2015
Multiscale modeling of electron beam and substrate interaction: a new heat source model. Zbl 1329.74077
Yan, Wentao; Smith, Jacob; Ge, Wenjun; Lin, Feng; Liu, Wing Kam
8
2015
A semi-numerical algorithm for instability of compressible multilayered structures. Zbl 1329.74289
Tang, Shan; Yang, Yang; Peng, Xiang He; Liu, Wing Kam; Huang, Xiao Xu; Elkhodary, Khalil
2
2015
Particle method modeling of nonlocal multiresolution continua. Zbl 1342.76097
Dai, Zili; Bessa, Miguel A.; Li, Shaofan; Liu, Wing Kam
1
2015
Advancements in multiresolution analysis. Zbl 1352.74411
Moore, John A.; Li, Ying; O’Connor, Devin T.; Stroberg, Wylie; Liu, Wing Kam
1
2015
A meshfree unification: reproducing kernel peridynamics. Zbl 1398.74452
Bessa, M. A.; Foster, J. T.; Belytschko, T.; Liu, Wing Kam
78
2014
Nonlinear finite elements for continua and structures. 2nd updated and extended ed. Zbl 1279.74002
Belytschko, Ted; Liu, Wing Kam; Moran, Brian; Elkhodary, Khalil
172
2013
Concurrent multiresolution finite element: formulation and algorithmic aspects. Zbl 1398.74410
Tang, Shan; Kopacz, Adrian M.; Chan O’Keeffe, Stephanie; Olson, Gregory B.; Liu, Wing Kam
7
2013
Archetype-blending continuum theory. Zbl 1297.74087
Elkhodary, Khalil I.; Steven Greene, M.; Tang, Shan; Belytschko, Ted; Liu, Wing K.
4
2013
A generalized uncertainty propagation criterion from benchmark studies of microstructured material systems. Zbl 1297.74011
Greene, M. Steven; Xu, Hongyi; Tang, Shan; Chen, Wei; Liu, Wing Kam
3
2013
Two-scale mechanism-based theory of nonlinear viscoelasticity. Zbl 1244.74098
Tang, Shan; Greene, M. Steven; Liu, Wing Kam
12
2012
A renormalization approach to model interaction in microstructured solids: application to porous elastomer. Zbl 1253.74071
Tang, Shan; Greene, M. Steven; Liu, Wing Kam
5
2012
The immersed molecular finite element method. Zbl 1253.76060
Kopacz, Adrian M.; Patankar, Neelesh A.; Liu, Wing K.
2
2012
Characterization of heterogeneous solids via wave methods in computational microelasticity. Zbl 1270.74036
Gonella, Stefano; Greene, M. Steven; Liu, Wing Kam
8
2011
Conforming local meshfree method. Zbl 1235.74375
Tian, Rong; To, Albert C.; Liu, Wing Kam
8
2011
A domain-reduction approach to bridging-scale simulation of one-dimensional nanostructures. Zbl 1398.74049
Qian, Dong; Phadke, Manas; Karpov, Eduard; Liu, Wing Kam
3
2011
Denoising methods for thermomechanical decomposition for quasi-equilibrium molecular dynamics simulations. Zbl 1228.74118
To, Albert C.; Fu, Yao; Liu, Wing Kam
2
2011
Multiscale methods for mechanical science of complex materials: bridging from quantum to stochastic multiresolution continuum. Zbl 1197.74007
Liu, Wing Kam; Qian, Dong; Gonella, Stefano; Li, Shaofan; Chen, Wei; Chirputkar, Shardool
17
2010
A level set approach for optimal design of smart energy harvesters. Zbl 1231.74358
Chen, Shikui; Gonella, Stefano; Chen, Wei; Liu, Wing Kam
15
2010
A multiresolution continuum simulation of the ductile fracture process. Zbl 1200.74127
Tian, 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
15
2010
Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory. Zbl 1225.74008
Greene, M. Steven; Liu, Yu; Chen, Wei; Liu, Wing Kam
14
2010
Multiresolution continuum modeling of micro-void assisted dynamic adiabatic shear band propagation. Zbl 1193.74124
Mcveigh, Cahal; Liu, Wing Kam
13
2010
On computational issues of immersed finite element methods. Zbl 1158.74049
Wang, X. Sheldon; Zhang, L. T.; Liu, Wing Kam
28
2009
Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting. Zbl 1177.74155
Gonella, Stefano; To, Albert C.; Liu, Wing Kam
19
2009
Complexity science of multiscale materials via stochastic computations. Zbl 1176.74058
Liu, 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
15
2009
Multiresolution modeling of ductile reinforced brittle composites. Zbl 1170.74321
McVeigh, Cahal; Liu, Wing Kam
13
2009
Multi-length scale micromorphic process zone model. Zbl 1166.74031
Vernerey, Franck; Liu, Wing Kam; Moran, Brian; Olson, Gregory
8
2009
Explicit numerical study of softening in porous ductile solids. Zbl 1258.74069
Siad, Larbi; Liu, Wing Kam; Benabbes, Anouar
1
2009
Multi-scale solid oxide fuel cell materials modeling. Zbl 1197.74027
Kim, Ji Hoon; Liu, Wing Kam; Lee, Christopher
1
2009
Linking microstructure and properties through a predictive multiresolution continuum. Zbl 1159.74311
McVeigh, Cahal; Liu, Wing Kam
32
2008
A micromorphic model for the multiple scale failure of heterogeneous materials. Zbl 1171.74312
Vernerey, Franck J.; Liu, Wing Kam; Moran, Brian; Olson, Gregory
27
2008
The immersed/fictitious element method for fluid-structure interaction: Volumetric consistency, compressibility and thin members. Zbl 1159.74437
Wang, Hongwu; Chessa, Jack; Liu, Wing K.; Belytschko, Ted
26
2008
Predictive multiscale theory for design of heterogeneous materials. Zbl 1304.74016
Liu, Wing Kam; McVeigh, Cahal
21
2008
Statistical volume element method for predicting microstructure-constitutive property relations. Zbl 1194.74291
Yin, Xiaolei; Chen, Wei; To, Albert; McVeigh, Cahal; Liu, Wing Kam
19
2008
Immersed finite element method for rigid body motions in the incompressible Navier-Stokes flow. Zbl 1158.76352
Lee, Tae-Rin; Chang, Yoon-Suk; Choi, Jae-Boong; Kim, Do Wan; Liu, Wing Kam; Kim, Young-Jin
17
2008
Meshfree simulation of failure modes in thin cylinders subjected to combined loads of internal pressure and localized heat. Zbl 1195.74297
Qian, Dong; Eason, Thomas; Li, Shaofan; Liu, Wing Kam
9
2008
Concurrent quantum/continuum coupling analysis of nanostructures. Zbl 1159.74304
Qian, Dong; Liu, Wing Kam; Zheng, Qingjin
8
2008
Materials integrity in microsystems: a framework for a petascale predictive-science-based multiscale modeling and simulation system. Zbl 1421.74084
To, 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 1239.74005
To, Albert C.; Liu, Wing Kam; Kopacz, Adrian
6
2008
Manipulation of nanoparticles and biomolecules by electric field and surface tension. Zbl 1158.76457
Liu, Yaling; Oh, Kieseok; Bai, John G.; Chang, Cheng-Ling; Yeo, Woonhoog; Chung, Jae-Hyun; Lee, Kyong-Hoon; Liu, Wing Kam
4
2008
Simulation and prediction of endothelial cell adhesion modulated by molecular engineering. Zbl 1158.76455
Kopacz, Adrian Marcin; Liu, Wing Kam; Liu, Shu Q.
2
2008
Multiple time scale method for atomistic simulations. Zbl 1257.74178
Medyanik, Sergey N.; Liu, Wing Kam
2
2008
Multi-scale micromorphic theory for hierarchical materials. Zbl 1159.74314
Vernerey, Franck; Liu, Wing Kam; Moran, Brian
54
2007
Mathematical foundations of the immersed finite element method. Zbl 1178.74170
Liu, Wing Kam; Kim, Do Wan; Tang, Shaoqiang
44
2007
A phonon heat bath approach for the atomistic and multiscale simulation of solids. Zbl 1194.74526
Karpov, E. G.; Park, H. S.; Liu, Wing Kam
30
2007
Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative. Zbl 1110.65110
Kim, Do Wan; Yoon, Young-Cheol; Liu, Wing Kam; Belytschko, Ted
21
2007
...and 145 more Documents
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Cited by 7,305 Authors

180 Liu, Wing Kam
116 Belytschko, Ted Bohdan
88 Tezduyar, Tayfun E.
74 Takizawa, Kenji
71 Liu, Gui-Rong
68 Bazilevs, Yuri
67 Chen, Jiun-Shyan
54 Li, Shaofan
50 Liew, Kim Meow
49 Rabczuk, Timon
45 Hughes, Thomas J. R.
42 Wang, Dongdong
35 Tang, Shaoqiang
35 Wriggers, Peter
31 Oñate Ibáñez de Navarra, Eugenio
30 Hsu, Ming-Chen
29 Dehghan Takht Fooladi, Mehdi
28 Li, Xiaolin
27 Combescure, Alain
27 Fish, Jacob
26 Wagner, Gregory J.
25 Areias, Pedro M. A.
24 Bonet, Javier
24 Zhang, Lu-Wen
22 Yan, Jinhui
21 Belinha, Jorge
21 Tang, Shan
21 Zhang, Zhiqian
20 Wen, Pihua
20 Zhang, Lucy T.
20 Zhuang, Xiaoying
19 Bordas, Stéphane Pierre Alain
19 Gravouil, Anthony
19 Huerta, Antonio
19 Idelsohn, Sergio Rodolfo
19 Li, Guangyao
19 Natal Jorge, Renato Manuel
19 Wall, Wolfgang A.
18 Betsch, Peter
18 Steinmann, Paul
18 Zhang, Aman
17 Gil, Antonio J.
17 Han, Xu
17 Kiendl, Josef
17 Lian, Yanping
17 Masud, Arif
17 Ouyang, Jie
17 Qian, Dong
17 Schillinger, Dominik
17 Wang, Lihua
17 Wick, Thomas
17 Zheng, Hong
16 Benson, David J.
16 Cheng, Yumin
16 Cueto, Elias
16 Gu, Yuantong
16 Oden, John Tinsley
16 Sun, WaiChing
16 Zhang, Chuanzeng
16 Zhang, GuiYong
15 Duan, Qinglin
15 Guo, Xu
15 Li, Xikui
15 Park, Harold S.
15 Wu, Cheng-Tang
15 Zhang, Xiong
14 Bletzinger, Kai-Uwe
14 Cruchaga, Marcela A.
14 Doblaré, Manuel
14 Du, Qiang
14 Hillman, Michael C.
14 Nguyen-Xuan, Hung
14 Noels, Ludovic
14 Reese, Stefanie
14 Simo, Juan Carlos
14 Tian, Xiaochuan
14 To, Albert C.
14 Vernerey, Franck J.
14 Waisman, Haim
14 Wei, Guowei
14 Wüchner, Roland
13 Bui, Tinh Quoc
13 Krysl, Petr
13 Zhou, Kun
12 Abbaszadeh, Mostafa
12 Cao, Jian
12 Chen, Wei
12 Chi, Sheng-Wei
12 Fries, Thomas-Peter
12 Griffith, Boyce E.
12 Hopperstad, Odd Sture
12 Khoei, Amir R.
12 Kiani, Keivan
12 Korobenko, Artem
12 Lee, Chun Hean
12 Li, Xiantao
12 Liu, Yan
12 Liu, Zeliang
12 Park, Kwang-Chun
12 Shivanian, Elyas
...and 7,205 more Authors
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Cited in 207 Serials

1,388 Computer Methods in Applied Mechanics and Engineering
612 International Journal for Numerical Methods in Engineering
572 Computational Mechanics
322 Engineering Analysis with Boundary Elements
310 Journal of Computational Physics
109 Computers and Fluids
95 International Journal of Computational Methods
92 Applied Mathematical Modelling
71 European Journal of Mechanics. A. Solids
69 Computers & Mathematics with Applications
69 International Journal for Numerical Methods in Fluids
57 Applied Mathematics and Computation
54 Acta Mechanica
50 Communications in Numerical Methods in Engineering
49 Journal of Computational and Applied Mathematics
46 Journal of the Mechanics and Physics of Solids
38 Archives of Computational Methods in Engineering
37 Mathematical Problems in Engineering
33 Engineering Computations
31 Computer Physics Communications
30 International Journal of Solids and Structures
29 Applied Numerical Mathematics
29 Journal of Scientific Computing
29 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
28 International Journal of Engineering Science
27 International Journal of Structural Stability and Dynamics
22 Journal of Fluid Mechanics
20 Mathematics and Computers in Simulation
20 Meccanica
20 International Journal of Computational Fluid Dynamics
20 Acta Mechanica Sinica
18 International Journal for Numerical Methods in Biomedical Engineering
17 International Journal of Plasticity
17 Applied Mathematics and Mechanics. (English Edition)
16 Numerical Methods for Partial Differential Equations
15 Archive of Applied Mechanics
14 Computational and Applied Mathematics
14 International Journal of Fracture
14 Advances in Applied Mathematics and Mechanics
13 International Journal for Computational Methods in Engineering Science and Mechanics
11 Wave Motion
11 Numerische Mathematik
11 International Journal of Numerical Methods for Heat & Fluid Flow
11 Mathematics and Mechanics of Solids
10 International Journal of Computer Mathematics
10 Multibody System Dynamics
10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 SIAM Journal on Numerical Analysis
9 Nonlinear Dynamics
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Communications in Computational Physics
8 International Journal for Numerical and Analytical Methods in Geomechanics
8 Communications in Nonlinear Science and Numerical Simulation
8 Journal of Applied Mathematics
7 Journal of Engineering Mathematics
7 GAMM-Mitteilungen
6 International Journal of Heat and Mass Transfer
6 Mechanics Research Communications
6 Applied Mathematics Letters
6 Numerical Algorithms
6 Advances in Computational Mathematics
6 European Journal of Mechanics. B. Fluids
6 Computational Geosciences
6 Sādhanā
5 Mathematical Methods in the Applied Sciences
5 Computer Aided Geometric Design
5 Continuum Mechanics and Thermodynamics
5 SIAM Journal on Scientific Computing
5 Multiscale Modeling & Simulation
4 Bulletin of Mathematical Biology
4 Mathematical and Computer Modelling
4 Advances in Engineering Software
4 Structural and Multidisciplinary Optimization
4 International Journal of Numerical Analysis and Modeling
4 Journal of Theoretical Biology
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Mathematics of Computation
3 Numerical Functional Analysis and Optimization
3 Physics of Fluids
3 Discrete and Continuous Dynamical Systems. Series B
3 Computational & Mathematical Methods in Medicine
3 SIAM Journal on Imaging Sciences
3 Science China. Technological Sciences
3 Computational Methods for Differential Equations
3 AMM. Applied Mathematics and Mechanics. (English Edition)
3 Journal of Computational Physics: X
2 International Journal of Modern Physics B
2 Archives of Mechanics
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 Physics Letters. A
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Chaos, Solitons and Fractals
2 BIT
2 Computing
2 Journal of Computational Mathematics
2 Finite Elements in Analysis and Design
2 Japan Journal of Industrial and Applied Mathematics
...and 107 more Serials
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Cited in 39 Fields

3,442 Mechanics of deformable solids (74-XX)
2,046 Numerical analysis (65-XX)
1,357 Fluid mechanics (76-XX)
375 Partial differential equations (35-XX)
200 Biology and other natural sciences (92-XX)
133 Classical thermodynamics, heat transfer (80-XX)
106 Statistical mechanics, structure of matter (82-XX)
88 Computer science (68-XX)
78 Mechanics of particles and systems (70-XX)
47 Optics, electromagnetic theory (78-XX)
44 Probability theory and stochastic processes (60-XX)
36 Calculus of variations and optimal control; optimization (49-XX)
31 Statistics (62-XX)
29 Ordinary differential equations (34-XX)
29 Geophysics (86-XX)
24 Operations research, mathematical programming (90-XX)
21 Integral equations (45-XX)
20 Real functions (26-XX)
17 Dynamical systems and ergodic theory (37-XX)
17 Approximations and expansions (41-XX)
14 Systems theory; control (93-XX)
13 Quantum theory (81-XX)
11 Functional analysis (46-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Differential geometry (53-XX)
5 Information and communication theory, circuits (94-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Measure and integration (28-XX)
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3 Potential theory (31-XX)
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1 Relativity and gravitational theory (83-XX)

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