Edit Profile (opens in new tab) Liu, Gui-Rong Co-Author Distance Author ID: liu.gui-rong Published as: Liu, G. R.; Liu, Guirong; Liu, Gui Rong; Liu, Gui-Rong; Liu, G.; Liu, Gui R. more...less External Links: Google Scholar Documents Indexed: 338 Publications since 1990, including 8 Books 3 Contributions as Editor Co-Authors: 214 Co-Authors with 281 Joint Publications 6,131 Co-Co-Authors all top 5 Co-Authors 17 single-authored 40 Han, Xu 31 Zhang, GuiYong 29 Lam, Khin-Yong 28 Gu, Yuantong 27 Li, Guangyao 20 He, Zhicheng 20 Nguyen-Xuan, Hung 19 Nguyen-Thoi, Trung 16 Li, Ming 16 Zhang, Zhiqian 16 Zhong, Zhihua 15 Jiang, Chen 14 Cui, Xiangyang 14 Dai, Kaiyu 14 Liu, Moubin 13 Chen, Lei 13 Li, Eric 11 Duan, Shuyong 11 Xu, Xu 10 Niu, Ruiping 8 Cheng, Ai Guo 7 Xu, George X. 7 Yao, Jianyao 7 Zeng, Wei 6 Gao, Guangjun 5 Huo, Shihui 5 Kee, Bernard B. T. 5 Khoo, Boo Cheong 5 Li, Yong 5 Wang, Guangyu 5 Zeng, Kaiyang 5 Zong, Zhi 4 Li, Hua 4 Li, Yan 4 Rabczuk, Timon 4 Tan, Vincent Beng Chye 4 Wan, Detao 4 Wu, Shaowei 4 Yue, Junhong 4 Zhang, Jian 3 Bao, Yangjuan 3 Bordas, Stéphane Pierre Alain 3 Huang, Yu 3 Jiang, Chao 3 Jiang, Yong 3 Liu, Xin 3 Nourbakhshnia, N. 3 Ohyoshi, Tadashi 3 Patera, Anthony T. 3 Xi, Zhichen 3 Zaw, Khin 3 Zhang, Yongqiang 3 Zhao, Xin 2 Achenbach, Jan D. 2 Bui, Tinh Quoc 2 Chen, Chung-Lung 2 Chen, Haodong 2 Deng, Bin 2 Du, Chaofan 2 Han, Dong 2 Hao, Zhifeng 2 Hu, Dean 2 Kerfriden, Pierre 2 Li, Wei 2 Liang, Yanchun 2 Liu, Mingyang 2 Liu, Xiaojing 2 Luan, Maotian 2 Meng, Qiong 2 Natarajan, Sundararajan 2 Nguyen, Ngoc Cuong 2 Peng, Qing 2 Sang, Jianbing 2 Song, Cheng Xiang 2 Tai, Kang 2 Tang, Qian 2 Tay, Tong-Earn 2 Vu-Bac, N. 2 Vu Do, Huy Cuong 2 Wang, Fang 2 Wang, Gang 2 Wang, Jizeng 2 Wang, Li 2 Wang, Wenquan 2 Watanabe, Kazumi 2 Wu, Cheng-Tang 2 Yan, Yan 2 Yang, Xiaowei 2 Zhang, Dingguo 2 Zheng, Gang 2 Zhou, C. E. 2 Zhou, Youhe 2 Zhu, Huifen 1 Abdallah, Shaaban 1 Alzubaidi, Laith 1 Anantharaman, Devanathan 1 Augarde, Charles Edward 1 Bai, Jinshuai 1 Bhowmick, Sauradeep 1 Boregowda, Parikshit ...and 137 more Co-Authors all top 5 Serials 67 International Journal of Computational Methods 42 Computational Mechanics 37 Computer Methods in Applied Mechanics and Engineering 37 Engineering Analysis with Boundary Elements 33 International Journal for Numerical Methods in Engineering 9 International Journal of Solids and Structures 7 International Journal for Numerical Methods in Fluids 6 Computers and Fluids 6 Applied Mathematical Modelling 5 Journal of Computational Physics 5 Inverse Problems in Science and Engineering 4 Journal of Sound and Vibration 4 CMES. Computer Modeling in Engineering & Sciences 4 Archives of Computational Methods in Engineering 3 Acta Mechanica 3 Computers & Mathematics with Applications 3 International Journal of Mechanical Sciences 3 Journal of Applied Mechanics 3 Communications in Numerical Methods in Engineering 3 International Journal for Numerical Methods in Biomedical Engineering 2 International Journal of Heat and Mass Transfer 2 Wave Motion 2 Shock Waves 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 European Journal of Mechanics. A. Solids 2 Progress in Natural Science 2 Journal of Yunnan Minzu University. Natural Sciences Edition 1 Applicable Analysis 1 International Journal of Engineering Science 1 Physics Letters. A 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Mechanics Research Communications 1 Mathematics in Practice and Theory 1 Applied Numerical Mathematics 1 Finite Elements in Analysis and Design 1 Mathematical and Computer Modelling 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 European Journal of Operational Research 1 Archive of Applied Mechanics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Mathematical Problems in Engineering 1 International Journal of Computational Fluid Dynamics 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Tsinghua Science and Technology 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. B. Fluids 1 Journal of Applied Mathematics 1 Advances in Difference Equations 1 Journal of Computational Acoustics 1 Acta Mechanica Sinica 1 Journal of North University of China. Natural Science Edition 1 International Journal of Structural Stability and Dynamics 1 Journal of Theoretical Biology all top 5 Fields 244 Mechanics of deformable solids (74-XX) 116 Numerical analysis (65-XX) 73 Fluid mechanics (76-XX) 27 Biology and other natural sciences (92-XX) 12 Computer science (68-XX) 11 Ordinary differential equations (34-XX) 11 Classical thermodynamics, heat transfer (80-XX) 6 Partial differential equations (35-XX) 4 Probability theory and stochastic processes (60-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Statistics (62-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 303 Publications have been cited 8,793 times in 3,002 Documents Cited by ▼ Year ▼ Smoothed particle hydrodynamics. A meshfree particle method. Zbl 1046.76001Liu, G. R.; Liu, M. B. 385 2003 A smoothed finite element method for mechanics problems. Zbl 1169.74047Liu, G. R.; Dai, K. Y.; Nguyen, T. T. 314 2007 A point interpolation meshless method based on radial basis functions. Zbl 1098.74741Wang, J. G.; Liu, G. R. 306 2002 A point interpolation method for two-dimensional solids. Zbl 1050.74057Liu, G. R.; Gu, Y. T. 288 2001 Smoothed particle hydrodynamics (SPH): an overview and recent developments. Zbl 1348.76117Liu, M. B.; Liu, G. R. 280 2010 Theoretical aspects of the smoothed finite element method (SFEM). Zbl 1194.74432Liu, G. R.; Nguyen, T. T.; Dai, K. Y.; Lam, K. Y. 204 2007 A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods. Zbl 1222.74044Liu, G. R. 183 2008 On the optimal shape parameters of radial basis functions used for 2-D meshless methods. Zbl 1065.74074Wang, J. G.; Liu, G. R. 172 2002 Mesh free methods. Moving beyond the finite element method. Zbl 1031.74001Liu, Gui-Rong 157 2003 A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically nonlinear solid mechanics problems using 4-node tetrahedral elements. Zbl 1183.74299Nguyen-Thoi, T.; Liu, G. R.; Lam, K. Y.; Zhang, G. Y. 147 2009 The finite element method: A practical course. Zbl 1027.74001Liu, G. R.; Quek, S. S. 144 2003 A novel alpha finite element method (\(\alpha \)FEM) for exact solution to mechanics problems using triangular and tetrahedral elements. Zbl 1194.74433Liu, G. R.; Nguyen-Thoi, T.; Lam, K. Y. 107 2008 A linearly conforming point interpolation method (LC-PIM) for 2D solid mechanics problems. Zbl 1137.74303Liu, G. R.; Zhang, G. Y.; Dai, K. Y.; Wang, Y. Y.; Zhong, Z. H.; Li, G. Y.; Han, X. 107 2005 Upper bound solution to elasticity problems: A unique property of the linearly conforming point interpolation method (LC-PIM). Zbl 1158.74532Liu, G. R.; Zhang, G. Y. 96 2008 Restoring particle consistency in smoothed particle hydrodynamics. Zbl 1329.76285Liu, M. B.; Liu, G. R. 96 2006 Meshfree methods. Moving beyond the finite element method. 2nd ed. Zbl 1205.74003Liu, G. R. 95 2010 A G space theory and a weakened weak (\(W^2\)) form for a unified formulation of compatible and incompatible methods. I: Theory. Zbl 1183.74358Liu, G. R. 93 2010 Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems. Zbl 1267.74115Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H. 80 2009 A meshfree radial point interpolation method (RPIM) for three-dimensional solids. Zbl 1138.74420Liu, G. R.; Zhang, G. Y.; Gu, Y. T.; Wang, Y. Y. 77 2005 A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids. Zbl 1162.74498Gu, Y. T.; Liu, G. R. 76 2001 A boundary point interpolation method for stress analysis of solids. Zbl 1115.74380Gu, Y. T.; Liu, G. R. 76 2002 An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. Zbl 1227.74083Nguyen-Xuan, H.; Liu, G. R.; Thai-Hoang, C.; Nguyen-Thoi, T. 75 2010 A nonlinear interval number programming method for uncertain optimization problems. Zbl 1135.90044Jiang, C.; Han, X.; Liu, G. R.; Liu, G. P. 75 2008 A local point interpolation method for static and dynamic analysis of thin beams. Zbl 1059.74060Gu, Y. T.; Liu, G. R. 70 2001 Computational inverse techniques in nondestructive evaluation. Zbl 1067.74002Liu, G. R.; Han, X. 70 2003 A face-based smoothed finite element method (FS-FEM) for visco-elastoplastic analyses of 3D solids using tetrahedral mesh. Zbl 1230.74193Nguyen-Thoi, T.; Liu, G. R.; Vu-Do, H. C.; Nguyen-Xuan, H. 69 2009 Edge-based smoothed point interpolation methods. Zbl 1264.74284Liu, G. R.; Zhang, G. Y. 69 2008 Constructing smoothing functions in smoothed particle hydrodynamics with applications. Zbl 1065.76167Liu, M. B.; Liu, G. R.; Lam, K. Y. 69 2003 A linearly conforming radial point interpolation method for solid mechanics problems. Zbl 1198.74120Liu, G. R.; Li, Y.; Dai, K. Y.; Luan, M. T.; Xue, W. 69 2006 Smoothed finite element methods (S-FEM): an overview and recent developments. Zbl 1398.65312Zeng, W.; Liu, G. R. 67 2018 Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. Zbl 1243.74170Chen, Lei; Rabczuk, Timon; Bordas, S. P. A.; Liu, Guirong; Zeng, Kai-Yang; Kerfriden, P. 67 2012 A normed G space and weakened weak (\(\mathrm W^2\)) formulation of a cell-based smoothed point interpolation method. Zbl 1264.74285Liu, G. R.; Zhang, G. Y. 67 2009 A linearly conforming point interpolation method (LC-PIM) for three-dimensional elasticity problems. Zbl 1194.74543Zhang, G. Y.; Liu, G. R.; Wang, Y. Y.; Huang, H. T.; Zhong, Z. H.; Li, G. Y.; Han, X. 65 2007 On G space theory. Zbl 1264.74266Liu, G. R. 64 2009 An overview on meshfree methods: for computational solid mechanics. Zbl 1359.74388Liu, G. R. 64 2016 An edge-based smoothed finite element method (ES-FEM) for analyzing three-dimensional acoustic problems. Zbl 1231.76147He, Z. C.; Liu, G. R.; Zhong, Z. H.; Wu, S. C.; Zhang, G. Y.; Cheng, A. G. 63 2009 Smoothed point interpolation methods. G space theory and weakened weak forms. Zbl 1278.65002Liu, G. R.; Zhang, G. Y. 63 2013 A G space theory and a weakened weak (\(W^2\)) form for a unified formulation of compatible and incompatible methods. II: Applications to solid mechanics problems. Zbl 1183.74359Liu, G. R. 63 2010 Modeling incompressible flows using a finite particle method. Zbl 1163.76404Liu, M. B.; Xie, W. P.; Liu, G. R. 59 2005 An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order. Zbl 1297.74126Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T. 58 2013 A theoretical study on the smoothed FEM (S-FEM) models: properties, accuracy and convergence rates. Zbl 1202.74180Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T. 58 2010 Hybrid smoothed finite element method for acoustic problems. Zbl 1423.74902Li, Eric; He, Z. C.; Xu, X.; Liu, G. R. 55 2015 A meshfree method: meshfree weak-strong (MWS) form method, for 2-D solids. Zbl 1063.74105Liu, G. R.; Gu, Y. T. 54 2003 A smoothed finite element method (SFEM) for linear and geometrically nonlinear analysis of plates and shells. Zbl 1232.74099Cui, X. Y.; Liu, G. R.; Li, G. Y.; Zhao, X.; Nguyen, T. T.; Sun, G. Y. 48 2008 An edge-based smoothed finite element method for primal-dual shakedown analysis of structures. Zbl 1188.74073Tran, Thanh Ngoc; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T. 48 2010 A meshfree weak-strong (MWS) form method for time-dependent problems. Zbl 1109.74371Gu, Y. T.; Liu, G. R. 48 2005 A nodal integration technique for meshfree radial point interpolation method (NI-RPIM). Zbl 1135.74050Liu, G. R.; Zhang, G. Y.; Wang, Y. Y.; Zhong, Z. H.; Li, G. Y.; Han, X. 47 2007 Boundary meshfree methods based on the boundary point interpolation methods. Zbl 1130.74466Liu, G. R.; Gu, Y. T. 47 2004 Temporal stabilization of the node-based smoothed finite element method and solution bound of linear elastostatics and vibration problems. Zbl 1398.74431Zhang, Zhi-Qian; Liu, G. R. 47 2010 An edge-based smoothed finite element method for visco-elastoplastic analyses of 2D solids using triangular mesh. Zbl 1398.74382Nguyen-Thoi, T.; Liu, G. R.; Vu-Do, H. C.; Nguyen-Xuan, H. 46 2009 Assessment and applications of point interpolation methods for computational mechanics. Zbl 1041.74562Liu, G. R.; Gu, Y. T.; Dai, K. Y. 45 2004 An adaptive procedure based on background cells for meshless methods. Zbl 1098.74738Liu, G. R.; Tu, Z. H. 45 2002 Meshless techniques for convection dominated problems. Zbl 1138.76402Gu, Y. T.; Liu, G. R. 45 2006 The upper bound property for solid mechanics of the linearly conforming radial point interpolation method (LC-RPIM). Zbl 1198.74123Zhang, G. Y.; Liu, G. R.; Nguyen, T. T.; Song, C. X.; Han, X.; Zhong, Z. H.; Li, G. Y. 45 2007 A novel singular node-based smoothed finite element method (NS-FEM) for upper bound solutions of fracture problems. Zbl 1202.74179Liu, G. R.; Chen, L.; Nguyen-Thoi, T.; Zeng, K. Y.; Zhang, G. Y. 45 2010 An \(n\)-sided polygonal edge-based smoothed finite element method (\(n\)ES-FEM) for solid mechanics. Zbl 1248.74043Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H. 44 2011 Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches. Zbl 0990.74070Liu, G. R.; Gu, Y. T. 44 2000 Comparison between the radial point interpolation and the Kriging interpolation used in meshfree methods. Zbl 1035.74059Dai, K. Y.; Liu, G. R.; Lim, K. M.; Gu, Y. T. 43 2003 Computer simulation of high explosive explosion using smoothed particle hydrodynamics methodology. Zbl 1009.76525Liu, M. B.; Liu, G. R.; Zong, Z.; Lam, K. Y. 43 2003 Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval. Zbl 1173.74364Jiang, C.; Han, X.; Liu, G. R. 43 2007 Numerical analysis of Biot’s consolidation process by radial point interpolation method. Zbl 1061.74014Wang, J. G.; Liu, G. R.; Lin, P. 42 2002 Adaptive analysis using the node-based smoothed finite element method (NS-FEM). Zbl 1370.74144Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C. 42 2011 An overview on smoothed particle hydrodynamics. Zbl 1257.76092Liu, M. B.; Liu, G. R.; Zong, Z. 41 2008 Smoothed particle hydrodynamics for numerical simulation of underwater explosion. Zbl 1128.76352Liu, M. B.; Liu, G. R.; Lam, K. Y.; Zong, Z. 41 2003 An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems. Zbl 1308.74064He, Z. C.; Li, G. Y.; Zhong, Z. H.; Cheng, A. G.; Zhang, G. Y.; Liu, G. R.; Li, Eric; Zhou, Z. 40 2013 Analysis of plates and shells using an edge-based smoothed finite element method. Zbl 1202.74165Cui, Xiangyang; Liu, Guirong; Li, Guangyao; Zhang, Guiyong; Zheng, Gang 39 2010 A mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular mesh. Zbl 1415.65257He, Z. C.; Li, Eric; Liu, G. R.; Li, G. Y.; Cheng, A. G. 37 2016 Coupling of element-free Galerkin and hybrid boundary element methods using modified variational formulation. Zbl 0994.74078Liu, G. R.; Gu, Y. T. 37 2000 A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis. Zbl 1128.74050Liu, G. R.; Kee, Bernard B. T.; Chun, Lu 36 2006 A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Zbl 1231.74444Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Bordas, S.; Kerfriden, P.; Simpson, R. N.; Liu, G. R.; Rabczuk, T. 35 2011 Dispersion error reduction for acoustic problems using the edge-based smoothed finite element method (ES-FEM). Zbl 1235.76065He, Z. C.; Cheng, A. G.; Zhang, G. Y.; Zhong, Z. H.; Liu, G. R. 34 2011 Letter to the editor: On the essence and the evaluation of the shape functions for the smoothed finite element method (SFEM). Zbl 1181.74137Liu, G. R.; Nguyen-Thoi, T.; Nguyen-Xuan, H.; Dai, K. Y.; Lam, K. Y. 34 2009 Immersed smoothed finite element method for fluid-structure interaction simulation of aortic valves. Zbl 1311.74047Yao, Jianyao; Liu, G. R.; Narmoneva, Daria A.; Hinton, Robert B.; Zhang, Zhi-Qian 34 2012 A meshless local Petrov-Galerkin (MLPG) formulation for static and free vibration analysis of thin plates. Zbl 1102.74310Gu, Y. T.; Liu, G. R. 34 2001 Contact analysis for solids based on linearly conforming radial point interpolation method. Zbl 1178.74182Li, Y.; Liu, G. R.; Dai, K. Y.; Luan, M. T.; Zhong, Z. H.; Li, G. Y.; Han, X. 33 2007 A point interpolation mesh free method for static and frequency analysis of two-dimensional piezoelectric structures. Zbl 1146.74371Liu, G. R.; Dai, K. Y.; Lim, K. M.; Gu, Y. T. 33 2002 A novel FEM by scaling the gradient of strains with factor \(\alpha\) (\(\alpha\)FEM). Zbl 1162.74469Liu, G. R.; Nguyen-Thoi, T.; Lam, K. Y. 31 2009 Generalized stochastic cell-based smoothed finite element method (GS_CS-FEM) for solid mechanics. Zbl 1282.74090Liu, G. R.; Zeng, W.; Nguyen-Xuan, H. 31 2013 A meshfree formulation of local radial point interpolation method (LRPIM) for incompressible flow simulation. Zbl 1038.76542Wu, Y. L.; Liu, G. R. 31 2003 Meshfree weak-strong (MWS) form method and its application to incompressible flow problems. Zbl 1060.76627Liu, G. R.; Wu, Y. L.; Ding, H. 31 2004 Analysis of coupled structural-acoustic problems based on the smoothed finite element method (S-FEM). Zbl 1297.74040Li, Wei; Chai, Yingbin; Lei, Ming; Liu, G. R. 31 2014 Radial point interpolation collocation method (RPICM) for partial differential equations. Zbl 1083.65108Liu, X.; Liu, G. R.; Tai, K.; Lam, K. Y. 30 2005 A meshfree radial point interpolation method for analysis of functionally graded material (FGM) plates. Zbl 1138.74417Dai, K. Y.; Liu, G. R.; Lim, K. M.; Han, X.; Du, S. Y. 29 2004 A singular edge-based smoothed finite element method (ES-FEM) for bimaterial interface cracks. Zbl 1398.74316Chen, L.; Liu, G. R.; Nourbakhsh-Nia, N.; Zeng, K. 29 2010 A coupled ES-FEM/BEM method for fluid-structure interaction problems. Zbl 1259.74030He, Z. C.; Liu, G. R.; Zhong, Z. H.; Zhang, G. Y.; Cheng, A. G. 28 2011 Differential quadrature solutions of eighth-order boundary-value differential equations. Zbl 1001.65085Liu, G. R.; Wu, T. Y. 28 2002 Transient waves in a functionally graded cylinder. Zbl 0977.74035Han, X.; Liu, G. R.; Xi, Z. C.; Lam, K. Y. 28 2001 Immersed smoothed finite element method for two dimensional fluid-structure interaction problems. Zbl 1242.74178Zhang, Zhi-Qian; Liu, G. R.; Khoo, Boo Cheong 27 2012 A cell-based smoothed radial point interpolation method (CS-RPIM) for static and free vibration of solids. Zbl 1244.74214Cui, X. Y.; Liu, G. R.; Li, G. Y. 27 2010 Comparisons of two meshfree local point interpolation methods for structural analyses. Zbl 1053.74659Liu, G. R.; Gu, Y. T. 27 2002 Characteristics of waves in a functionally graded cylinder. Zbl 1112.74406Han, X.; Liu, G. R.; Xi, Z. C.; Lam, K. Y. 27 2002 A point interpolation method for simulating dissipation process of consolidation. Zbl 1055.74015Wang, J. G.; Liu, G. R.; Wu, Y. G. 26 2001 A differential quadrature as a numerical method to solve differential equations. Zbl 0976.74557Wu, T. Y.; Liu, G. R. 26 1999 Hybrid boundary point interpolation methods and their coupling with the element free Galerkin method. Zbl 1060.74651Gu, Y. T.; Liu, G. R. 26 2003 The generalized differential quadrature rule for fourth-order differential equations. Zbl 0999.74120Wu, T. Y.; Liu, G. R. 26 2001 A gradient smoothing method (GSM) for fluid dynamics problems. Zbl 1241.76332Liu, G. R.; Xu, George X. 26 2008 An efficient algorithm to analyze wave propagation in fluid/solid and solid/fluid phononic crystals. Zbl 1440.74416Li, Eric; He, Z. C.; Wang, Gang; Liu, G. R. 25 2018 A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics. Zbl 1271.74418Vu-Bac, N.; Nguyen-Xuan, H.; Chen, L.; Lee, C. K.; Zi, G.; Zhuang, X.; Liu, G. R.; Rabczuk, T. 25 2013 Element-free method for static and free vibration analysis of spatial thin shell structures. Zbl 1083.74610Liu, L.; Liu, G. R.; Tan, V. B. C. 25 2002 An edge-based smoothed point interpolation method (ES-PIM) for heat transfer analysis of rapid manufacturing system. Zbl 1190.80038Wu, S. C.; Liu, G. R.; Cui, X. Y.; Nguyen, T. T.; Zhang, G. Y. 24 2010 Arbitrary polygon mesh for elastic and elastoplastic analysis of solids using smoothed finite element method. Zbl 07653074Wu, Shao-Wei; Liu, G. R.; Jiang, Chao; Liu, Xin; Liu, Kai; Wan, De-Tao; Yue, Jun-Hong 1 2023 An \(n\)-sided polygonal selective smoothed finite element method for nearly incompressible visco-hyperelastic soft materials. Zbl 1503.74110Wu, Shao-Wei; Jiang, Chao; Liu, G. R.; Wan, De-Tao; Jiang, Chen 5 2022 Solution existence theory for artificial neural networks. Zbl 07714917Liu, G. R. 2 2022 A novel constitutive parameters identification procedure for hyperelastic skeletal muscles using two-way neural networks. Zbl 07542599Li, Yang; Sang, Jianbing; Wei, Xinyu; Wan, Zijian; Liu, G. R. 2 2022 Neurons-samples theorem. Zbl 07714927Liu, G. R. 1 2022 A selective smoothed finite element method for 3D explicit dynamic analysis of the human annulus fibrosus with modified composite-based constitutive model. Zbl 1521.74267Yan, Xue; Wan, Detao; Hu, Dean; Han, Xu; Liu, G. R. 1 2022 A cell-based smoothed finite element method (CS-FEM) for three-dimensional incompressible laminar flows using mixed wedge-hexahedral element. Zbl 1521.76347Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen; Liu, Guirong 11 2021 TubeNet: a special TrumpetNet for explicit solutions to inverse problems. Zbl 07342029Liu, G. R.; Duan, S. Y.; Zhang, Z. M.; Han, X. 9 2021 A cell-based smoothed finite element method for arbitrary polygonal element to solve incompressible laminar flow. Zbl 07446684Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen; Liu, Guirong 8 2021 A high order cell-based smoothed finite element method using triangular and quadrilateral elements. Zbl 1521.74210Cui, X.; Duan, S. Y.; Huo, S. H.; Liu, G. R. 6 2021 A unified-implementation of smoothed finite element method (UI-SFEM) for simulating biomechanical responses of multi-materials orthodontics. Zbl 07360517Wu, Shao-Wei; Jiang, Chao; Jiang, Chen; Niu, Rui-Ping; Wan, De-Tao; Liu, G. R. 5 2021 A technique for inversely identifying joint stiffnesses of robot arms via two-way TubeNets. Zbl 07484747Duan, Shuyong; Wang, Li; Wang, Fang; Han, Xu; Liu, Gui Rong 3 2021 Sufficient and necessary conditions for oscillation of linear fractional-order delay differential equations. Zbl 1487.34125Meng, Qiong; Jin, Zhen; Liu, Guirong 1 2021 Hopf bifurcation in a reaction-diffusive-advection two-species competition model with one delay. Zbl 1488.34454Meng, Qiong; Liu, Guirong; Jin, Zhen 1 2021 Determination of singular value truncation threshold for regularization in ill-posed problems. Zbl 1469.65080Duan, Shuyong; Yang, Botao; Wang, Fang; Liu, Guirong 1 2021 An ABAQUS implementation of the cell-based smoothed finite element method (CS-FEM). Zbl 07124751Cui, X.; Han, X.; Duan, S. Y.; Liu, G. R. 12 2020 A node-based smoothed radial point interpolation method with linear strain fields for vibration analysis of solids. Zbl 1464.65181Li, Yan; Liu, Guirong; Feng, Zhiqiang; Ng, Keishing; Li, Siuwai 11 2020 Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model. Zbl 1481.62030Ouyang, Heng; Liu, Jie; Han, Xu; Liu, Guirong; Ni, Bingyu; Zhang, Dequan 6 2020 A smoothed finite element method for octree-based polyhedral meshes with large number of hanging nodes and irregular elements. Zbl 1441.65103Huo, S. H.; Liu, G. R.; Zhang, J. Q.; Song, C. M. 5 2020 A novel alpha smoothed finite element method for ultra-accurate solution using quadrilateral elements. Zbl 07124748Li, Y. H.; Li, M.; Liu, G. R. 4 2020 A neural element method. Zbl 07336573Liu, G. R. 4 2020 SPH simulation of high-volume rapid landslides triggered by earthquakes based on a unified constitutive model. II: Solid-liquid-like phase transition and flow-like landslides. Zbl 1476.74105Bao, Yangjuan; Huang, Yu; Liu, G. R.; Zeng, Wei 3 2020 Stability analysis of smoothed finite element methods with explicit method for transient heat transfer problems. Zbl 07124745Rong, Xin; Niu, Ruiping; Liu, Guirong 3 2020 Solution bounds and nearly exact solutions for 3D nonlinear problems of large deformation of solids using S-FEM. Zbl 07124747Wu, S. W.; Li, M.; Jiang, C. 3 2020 Development of a software package of smoothed finite element method (S-FEM) for solid mechanics problems. Zbl 07124744Niu, R. P.; Liu, G. R.; Yue, J. H. 2 2020 A wavelet multi-resolution enabled interpolation Galerkin method for two-dimensional solids. Zbl 1464.74403Liu, Xiaojing; Liu, G. R.; Wang, Jizeng; Zhou, Youhe 2 2020 SPH simulation of high-volume rapid landslides triggered by earthquakes based on a unified constitutive model. I: Initiation process and slope failure. Zbl 1476.74104Bao, Yangjuan; Huang, Yu; Liu, G. R.; Wang, Guangyu 1 2020 An Eulerian-Lagrangian-Lagrangian method for solving fluid-structure interaction problems with bulk solids. Zbl 1453.74028Han, Dong; Liu, G. R.; Abdallah, Shaaban 1 2020 Modeling of waterjet abrasion in mining processes based on the smoothed particle hydrodynamics (SPH) method. Zbl 07342706Feng, Long; Dong, Xiangwei; Li, Zengliang; Liu, Guirong; Sun, Zhaocheng 1 2020 A novel node-based smoothed finite element method with linear strain fields for static, free and forced vibration analyses of solids. Zbl 1428.74211Li, Y.; Liu, G. R. 21 2019 FEA-AI and AI-AI: two-way deepnets for real-time computations for both forward and inverse mechanics problems. Zbl 1489.74059Liu, G. R. 11 2019 A modified immersed smoothed FEM with local field reconstruction for fluid-structure interactions. Zbl 1464.74182Jiang, Chen; Zhang, Zhi-Qian; Gao, Guang-Jun; Liu, G. R. 9 2019 A cell-based smoothed finite element method for free vibration analysis of a rotating plate. Zbl 07074130Du, C. F.; Zhang, D. G.; Liu, G. R. 7 2019 An element-free smoothed radial point interpolation method (EFS-RPIM) for 2D and 3D solid mechanics problems. Zbl 1442.65406Li, Yan; Liu, G. R. 7 2019 A particle-based free surface detection method and its application to the surface tension effects simulation in smoothed particle hydrodynamics (SPH). Zbl 1451.76093Lin, Yixin; Liu, G. R.; Wang, Guangyu 7 2019 Novel quadtree algorithm for adaptive analysis based on cell-based smoothed finite element method. Zbl 1464.74180Huo, S. H.; Li, Y. S.; Duan, S. Y.; Han, X.; Liu, G. R. 6 2019 A local Lagrangian gradient smoothing method for fluids and fluid-like solids: a novel particle-like method. Zbl 1464.76149Mao, Zirui; Liu, G. R.; Huang, Yu 5 2019 A wavelet multiresolution interpolation Galerkin method for targeted local solution enrichment. Zbl 1462.74175Liu, Xiaojing; Liu, G. R.; Wang, Jizeng; Zhou, Youhe 4 2019 An edge-based smoothed finite element method for wave scattering by an obstacle in elastic media. Zbl 1464.74224Yue, Junhong; Liu, G. R.; Li, Ming; Niu, Ruiping 3 2019 Structural optimization and reliability analysis of automotive composite bumper against low-velocity longitudinal and corner pendulum impacts. Zbl 1489.74044Duan, S. Y.; Han, X.; Liu, G. R. 2 2019 Global stability of an SLI AIDS model with staged progression. Zbl 1449.34164Wang, Xiaohong; Liu, Guirong 1 2019 A Fourier transform analysis of convergence properties of multigrid V-cycle algorithm. Zbl 07072982Zhang, Y.; Li, M.; Liu, G. R. 1 2019 Topology optimization of the interior structure of blades with an outer surface determined through aerodynamic design. Zbl 07074005McClanahan, Dustin R.; Liu, G. R.; Turner, Mark G.; Anantharaman, Devanathan 1 2019 The inverse methods based on S-FEMs with an adaptive SVD regularization technique for solving Cauchy inverse heat transfer problems. Zbl 1464.80019Niu, R. P.; Liu, G. R.; Li, M. 1 2019 Smoothed finite element methods (S-FEM): an overview and recent developments. Zbl 1398.65312Zeng, W.; Liu, G. R. 67 2018 An efficient algorithm to analyze wave propagation in fluid/solid and solid/fluid phononic crystals. Zbl 1440.74416Li, Eric; He, Z. C.; Wang, Gang; Liu, G. R. 25 2018 A sharp-interface immersed smoothed finite element method for interactions between incompressible flows and large deformation solids. Zbl 1440.76071Jiang, Chen; Yao, Jian-Yao; Zhang, Zhi-Qian; Gao, Guang-Jun; Liu, G. R. 13 2018 A generalized probabilistic edge-based smoothed finite element method for elastostatic analysis of Reissner-Mindlin plates. Zbl 1480.74210Wu, F.; Zeng, W.; Yao, L. Y.; Liu, G. R. 12 2018 A novel pick-out theory and technique for constructing the smoothed derivatives of functions for numerical methods. Zbl 1404.74162Liu, G. R. 11 2018 Static and free vibration analysis of stiffened flat shells by a cell-based smoothed discrete shear gap method (CS-FEM-DSG3) using three-node triangular elements. Zbl 1404.74166Nguyen-Thoi, T.; Bui-Xuan, T.; Liu, G. R.; Vo-Duy, T. 5 2018 On singular ES-FEM for fracture analysis of solids with singular stress fields of arbitrary order. Zbl 1403.74098Bhowmick, Sauradeep; Liu, Gui Rong 5 2018 A locking-free face-based S-FEM via averaging nodal pressure using 4-nodes tetrahedrons for 3D explicit dynamics and quasi-statics. Zbl 1404.74160Jiang, Chen; Han, Xu; Zhang, Zhi-Qian; Liu, G. R.; Gao, Guang-Jun 4 2018 Evaluation of the stiffness matrix in static and dynamic elasticity problems. Zbl 1381.74200Li, Eric; He, Z. C.; Liu, G. R. 3 2018 A node-based smoothed point interpolation method for dynamic analysis of rotating flexible beams. Zbl 1390.74112Du, C. F.; Zhang, D. G.; Li, L.; Liu, G. R. 3 2018 An IB-LBM implementation for fluid-solid interactions with an MLS approximation for implicit coupling. Zbl 1462.76140Wang, Wen-Quan; Yan, Yan; Liu, G. R. 3 2018 Lower bound of vibration modes using the node-based smoothed finite element method (NS-FEM). Zbl 1404.74163Liu, Guirong; Chen, Meng; Li, Ming 14 2017 Smoothed finite element methods (S-FEMs) with polynomial pressure projection (P3) for incompressible solids. Zbl 1403.74110Jiang, Chen; Han, Xu; Liu, G. R.; Zhang, Zhi-Qian; Yang, Gang; Gao, Guang-Jun 7 2017 Development of three-dimensional GSM-CFD solver for compressible flows. Zbl 1404.76198Yao, Jianyao; Wu, Weimin; Zhang, Kun; Sun, Dongyang; Liu, Yaolu; Ning, Huiming; Hu, Ning; Liu, G. R. 2 2017 A SPH implementation with ignition and growth and afterburning models for aluminized explosives. Zbl 1404.76212Wang, Guangyu; Liu, Guirong; Peng, Qing; De, Suvranu 1 2017 A development of a GSM-CFD solver for non-Newtonian flows. Zbl 1390.76678Lin, Tao; Liu, G. R. 1 2017 An overview on meshfree methods: for computational solid mechanics. Zbl 1359.74388Liu, G. R. 64 2016 A mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular mesh. Zbl 1415.65257He, Z. C.; Li, Eric; Liu, G. R.; Li, G. Y.; Cheng, A. G. 37 2016 An adaptive selective ES-FEM for plastic collapse analysis. Zbl 1406.74639Nguyen-Xuan, H.; Wu, C. T.; Liu, G. R. 15 2016 A generalized beta finite element method with coupled smoothing techniques for solid mechanics. Zbl 1403.74133Zeng, W.; Liu, G. R.; Jiang, C.; Nguyen-Thoi, T.; Jiang, Y. 12 2016 An effective fracture analysis method based on the virtual crack closure-integral technique implemented in CS-FEM. Zbl 1459.74168Zeng, W.; Liu, G. R.; Jiang, C.; Dong, X. W.; Chen, H. D.; Bao, Y.; Jiang, Y. 11 2016 Proofs of the stability and convergence of a weakened weak method using PIM shape functions. Zbl 1404.65284Yue, J. H.; Li, M.; Liu, G. R.; Niu, R. P. 11 2016 Mathematical basis of \(G\) spaces. Zbl 1359.46024Chen, Meng; Li, Ming; Liu, G. R. 11 2016 Particle methods for multi-scale and multi-physics. Zbl 1344.76002Liu, Mou-Bin; Liu, Gui-Rong 10 2016 A modified smoothed finite element method for static and free vibration analysis of solid mechanics. Zbl 1359.74130Cui, Xiang Yang; Hu, Xiao Bin; Li, Guang Yao; Liu, Gui Rong 8 2016 On partitions of unity property of nodal shape functions: rigid-body-movement reproduction and mass conservation. Zbl 1359.65261Liu, G. R. 7 2016 A new homogenization formulation for multifunctional composites. Zbl 1359.74357Li, Eric; Zhang, Zhongpu; Chang, C. C.; Zhou, Shiwei; Liu, G. R.; Li, Q. 4 2016 A quasi-conforming point interpolation method (QC-PIM) for elasticity problems. Zbl 1359.74452Xu, X.; Zheng, Z. Q.; Gu, Y. T.; Liu, G. R. 4 2016 A novel explicit positivity-preserving finite-difference scheme for simulating bounded growth of biological films. Zbl 1359.92002Sun, G. F.; Liu, G. R.; Li, M. 3 2016 A technique with a correction term for unsteady state heat transfer problem with moving boundary. Zbl 1359.80008Niu, R. P.; Liu, G. R.; Li, M. 2 2016 Hybrid smoothed finite element method for acoustic problems. Zbl 1423.74902Li, Eric; He, Z. C.; Xu, X.; Liu, G. R. 55 2015 An edge-based/node-based selective smoothed finite element method using tetrahedrons for cardiovascular tissues. Zbl 1403.74111Jiang, Chen; Zhang, Zhi-Qian; Liu, G. R.; Han, X.; Zeng, W. 23 2015 An adaptive GSM-CFD solver and its application to shock-wave boundary layer interaction. Zbl 1356.76153Yao, Jianyao; Lin, Tao; Liu, G. R.; Chen, C. L. 17 2015 On stability, convergence and accuracy of bES-FEM and bFS-FEM for nearly incompressible elasticity. Zbl 1423.74104Ong, Thanh Hai; Heaney, Claire E.; Lee, Chang-Kye; Liu, G. R.; Nguyen-Xuan, H. 16 2015 Dissipative particle dynamics (DPD): an overview and recent developments. Zbl 1348.76004Liu, M. B.; Liu, G. R.; Zhou, L. W.; Chang, J. Z. 16 2015 A three-dimensional hybrid smoothed finite element method (H-SFEM) for nonlinear solid mechanics problems. Zbl 1328.74080Li, Eric; He, Z. C.; Xu, Xu; Liu, G. R.; Gu, Y. T. 15 2015 An edge-based finite element method (ES-FEM) with adaptive scaled-bubble functions for plane strain limit analysis. Zbl 1423.74169Nguyen-Xuan, H.; Liu, G. R. 14 2015 Acoustic simulation using \(\alpha\)-FEM with a general approach for reducing dispersion error. Zbl 1403.76044He, Zhi Cheng; Li, Eric; Li, G. Y.; Wu, F.; Liu, G. R.; Nie, X. 13 2015 A novel hybrid FS-FEM/SEA for the analysis of vibro-acoustic problems. Zbl 1352.74453Wu, Fei; Liu, Guirong; Li, Guangyao; Cheng, Ai Guo; He, Z. C.; Hu, Z. H. 12 2015 An ultra-accurate hybrid smoothed finite element method for piezoelectric problem. Zbl 1403.74114Li, Eric; He, Z. C.; Chen, L.; Li, Bing; Xu, Xu; Liu, G. R. 11 2015 An efficient explicit finite-difference scheme for simulating coupled biomass growth on nutritive substrates. Zbl 1394.65078Sun, G. F.; Liu, G. R.; Li, M. 6 2015 A semi-explicit finite element method for dynamic analysis of dielectric elastomers. Zbl 1359.78023Zhang, Zhi-Qian; Foo, Choon Chiang; Liu, G. R. 3 2015 Analysis of coupled structural-acoustic problems based on the smoothed finite element method (S-FEM). Zbl 1297.74040Li, Wei; Chai, Yingbin; Lei, Ming; Liu, G. R. 31 2014 Selective smoothed finite element methods for extremely large deformation of anisotropic incompressible bio-tissues. Zbl 1352.74006Jiang, Chen; Zhang, Zhi-Qian; Han, Xu; Liu, Gui-Rong 19 2014 A new hybrid smoothed FEM for static and free vibration analyses of Reissner-Mindlin plates. Zbl 1311.74131Wu, F.; Liu, G. R.; Li, G. Y.; Cheng, A. G.; He, Z. C. 18 2014 A cell-based smoothed finite element method using three-node shear-locking free Mindlin plate element (CS-FEM-MIN3) for dynamic response of laminated composite plates on viscoelastic foundation. Zbl 1297.74122Luong-Van, H.; Nguyen-Thoi, T.; Liu, G. R.; Phung-Van, P. 17 2014 Coupling GSM/ALE with ES-FEM-T3 for fluid-deformable structure interactions. Zbl 1349.76282Wang, S.; Khoo, B. C.; Liu, G. R.; Xu, G. X.; Chen, L. 16 2014 A matrix-form GSM-CFD solver for incompressible fluids and its application to hemodynamics. Zbl 1311.76160Yao, Jianyao; Liu, G. R. 16 2014 Mid-frequency acoustic analysis using edge-based smoothed tetrahedron radialpoint interpolation methods. Zbl 1359.76255He, Z. C.; Li, G. Y.; Li, Eric; Zhong, Z. H.; Liu, G. R. 15 2014 S-FEM for fracture problems, theory, formulation and application. Zbl 1359.74025Liu, Gui Rong; Chen, Lei; Li, Ming 14 2014 Bubble-enhanced smoothed finite element formulation: a variational multi-scale approach for volume-constrained problems in two-dimensional linear elasticity. Zbl 1352.74451Wu, C. T.; Hu, Wei; Liu, G. R. 10 2014 A modified triangulation algorithm tailored for the smoothed finite element method (S-FEM). Zbl 1359.65260Li, Y.; Li, Ming; Liu, G. R. 9 2014 Solution bound and nearly exact solution to nonlinear solid mechanics problems based on the smoothed FEM concept. Zbl 1297.74134Zhang, Zhi-Qian; Liu, G. R. 9 2014 A sub-domain smoothed Galerkin method for solid mechanics problems. Zbl 1352.74363Hu, Dean; Wang, Yigang; Liu, G. R.; Li, Tong; Han, Xu; Gu, Y. T. 5 2014 Reconstruction of dynamically changing boundary of multilayer heat conduction composite walls. Zbl 1297.80016Niu, R. P.; Liu, G. R.; Li, M. 3 2014 Smoothed point interpolation methods. G space theory and weakened weak forms. Zbl 1278.65002Liu, G. R.; Zhang, G. Y. 63 2013 ...and 203 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,692 Authors 228 Liu, Gui-Rong 61 Han, Xu 55 Nguyen-Xuan, Hung 48 Zhang, GuiYong 45 Nguyen-Thoi, Trung 40 Li, Guangyao 37 Bordas, Stéphane Pierre Alain 37 Zhang, Chuanzeng 36 Cui, Xiangyang 35 Dehghan Takht Fooladi, Mehdi 35 Rabczuk, Timon 33 Li, Xiaolin 31 Gu, Yuantong 29 He, Zhicheng 27 Belinha, Jorge 27 Natarajan, Sundararajan 26 Liu, Moubin 24 Li, Ming 23 Chai, Yingbin 23 Jiang, Chen 23 Liew, Kim Meow 22 Jiang, Chao 22 Li, Eric 21 Shivanian, Elyas 20 Bui, Tinh Quoc 20 Ferreira, António Joaquim Mendes 20 Hu, Dean 20 Li, Wei 20 Natal Jorge, Renato Manuel 20 Sladek, Jan 20 Sladek, Vladimir 18 Lam, Khin-Yong 18 Zhang, Zhiqian 18 Zhou, Liming 17 Chen, Lei 17 Ouyang, Jie 17 Zhong, Zhihua 16 Niu, Ruiping 16 Wang, Gang 16 Zheng, Hong 16 Zhuang, Xiaoying 15 Abbaszadeh, Mostafa 15 Francomano, Elisa 15 Gao, Xiaowei 15 Jiang, Tao 15 Wang, Dongdong 15 Wang, Lihua 15 Zhang, Aman 14 Gu, Yan 14 Siraj-ul-Islam 14 Takizawa, Kenji 13 Phung-Van, P. 13 Tezduyar, Tayfun E. 12 Cen, Song 12 Chen, Wen 12 Ming, Furen 12 Ren, Jinlian 12 Šarler, Božidar 12 Song, Chongmin 12 Wen, Pihua 12 Xu, Xu 12 Yang, Gang 12 Zong, Zhi 11 Chen, Shenshen 11 Dai, Kaiyu 11 Duan, Shuyong 11 Hematiyan, Mohammad Rahim 11 Hu, Xiangyu Y. 11 Li, Hua 11 Liu, Jie 11 Nogueira, Xesús 11 Thai, Chien Hoang 11 Yang, Yongtao 11 Yue, Junhong 11 Zhang, Xiaohua 10 Cheng, Ai Guo 10 Dinis, Lúcia M. 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