Sun, Chao; Liu, G. R.; Huo, S. H.; Wang, G.; Yu, Chengjiao; Li, Zirui A novel node-to-segment algorithm in smoothed finite element method for contact problems. (English) Zbl 1524.74443 Comput. Mech. 72, No. 5, 1029-1057 (2023). MSC: 74S05 74M15 PDFBibTeX XMLCite \textit{C. Sun} et al., Comput. Mech. 72, No. 5, 1029--1057 (2023; Zbl 1524.74443) Full Text: DOI
Kshirsagar, Sandeep; Nguyen-Xuan, H.; Liu, G. R.; Natarajan, Sundararajan An SFEM Abaqus UEL for nonlinear analysis of solids. (English) Zbl 07714971 Int. J. Comput. Methods 20, No. 5, Article ID 2350003, 32 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{S. Kshirsagar} et al., Int. J. Comput. Methods 20, No. 5, Article ID 2350003, 32 p. (2023; Zbl 07714971) Full Text: DOI
Cui, X.; Liu, G. R.; Li, Z. R. A high-order edge-based smoothed finite element (ES-FEM) method with four-node triangular element for solid mechanics problems. (English) Zbl 1521.74211 Eng. Anal. Bound. Elem. 151, 490-502 (2023). MSC: 74S05 65M60 PDFBibTeX XMLCite \textit{X. Cui} et al., Eng. Anal. Bound. Elem. 151, 490--502 (2023; Zbl 1521.74211) Full Text: DOI
Wu, Shao-Wei; Liu, G. R.; Jiang, Chao; Liu, Xin; Liu, Kai; Wan, De-Tao; Yue, Jun-Hong Arbitrary polygon mesh for elastic and elastoplastic analysis of solids using smoothed finite element method. (English) Zbl 07653074 Comput. Methods Appl. Mech. Eng. 405, Article ID 115874, 26 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{S.-W. Wu} et al., Comput. Methods Appl. Mech. Eng. 405, Article ID 115874, 26 p. (2023; Zbl 07653074) Full Text: DOI
Wu, Shao-Wei; Jiang, Chao; Liu, G. R.; Wan, De-Tao; Jiang, Chen An \(n\)-sided polygonal selective smoothed finite element method for nearly incompressible visco-hyperelastic soft materials. (English) Zbl 1503.74110 Appl. Math. Modelling 107, 398-428 (2022). MSC: 74S05 74B20 74D10 PDFBibTeX XMLCite \textit{S.-W. Wu} et al., Appl. Math. Modelling 107, 398--428 (2022; Zbl 1503.74110) Full Text: DOI
Zhao, J. G.; Liu, G. R.; Huo, S. H.; Li, Z. R. Modes and modal analysis of three-dimensional (3D) structures based on the smoothed finite element methods (S-FEMs) using automatically generatable tetrahedral meshes. (English) Zbl 1519.74028 Eng. Anal. Bound. Elem. 140, 262-281 (2022). MSC: 74H45 74S05 65M60 70J10 PDFBibTeX XMLCite \textit{J. G. Zhao} et al., Eng. Anal. Bound. Elem. 140, 262--281 (2022; Zbl 1519.74028) Full Text: DOI
Yan, Xue; Wan, Detao; Hu, Dean; Han, Xu; Liu, G. R. A selective smoothed finite element method for 3D explicit dynamic analysis of the human annulus fibrosus with modified composite-based constitutive model. (English) Zbl 1521.74267 Eng. Anal. Bound. Elem. 134, 49-65 (2022). MSC: 74S05 65M60 92C10 PDFBibTeX XMLCite \textit{X. Yan} et al., Eng. Anal. Bound. Elem. 134, 49--65 (2022; Zbl 1521.74267) Full Text: DOI
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen; Liu, Guirong A cell-based smoothed finite element method for arbitrary polygonal element to solve incompressible laminar flow. (English) Zbl 07446684 Int. J. Comput. Methods 18, No. 7, Article ID 2150017, 28 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. Liu} et al., Int. J. Comput. Methods 18, No. 7, Article ID 2150017, 28 p. (2021; Zbl 07446684) Full Text: DOI
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen; Liu, Guirong A cell-based smoothed finite element method (CS-FEM) for three-dimensional incompressible laminar flows using mixed wedge-hexahedral element. (English) Zbl 1521.76347 Eng. Anal. Bound. Elem. 133, 269-285 (2021). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{M. Liu} et al., Eng. Anal. Bound. Elem. 133, 269--285 (2021; Zbl 1521.76347) Full Text: DOI
Sang, Jianbing; Pan, Xingda; Lin, Tao; Liang, Weiguang; Liu, G. R. A data-driven artificial neural network model for predicting wind load of buildings using GSM-CFD solver. (English) Zbl 1494.76067 Eur. J. Mech., B, Fluids 87, 24-36 (2021). MSC: 76M99 76F65 92B20 74F10 PDFBibTeX XMLCite \textit{J. Sang} et al., Eur. J. Mech., B, Fluids 87, 24--36 (2021; Zbl 1494.76067) Full Text: DOI
Cui, X.; Duan, S. Y.; Huo, S. H.; Liu, G. R. A high order cell-based smoothed finite element method using triangular and quadrilateral elements. (English) Zbl 1521.74210 Eng. Anal. Bound. Elem. 128, 133-148 (2021). MSC: 74S05 65N30 65N12 PDFBibTeX XMLCite \textit{X. Cui} et al., Eng. Anal. Bound. Elem. 128, 133--148 (2021; Zbl 1521.74210) Full Text: DOI
Wu, Shao-Wei; Jiang, Chao; Jiang, Chen; Niu, Rui-Ping; Wan, De-Tao; Liu, G. R. A unified-implementation of smoothed finite element method (UI-SFEM) for simulating biomechanical responses of multi-materials orthodontics. (English) Zbl 07360517 Comput. Mech. 67, No. 2, 541-565 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{S.-W. Wu} et al., Comput. Mech. 67, No. 2, 541--565 (2021; Zbl 07360517) Full Text: DOI
Li, Yan; Liu, Guirong; Feng, Zhiqiang; Ng, Keishing; Li, Siuwai A node-based smoothed radial point interpolation method with linear strain fields for vibration analysis of solids. (English) Zbl 1464.65181 Eng. Anal. Bound. Elem. 114, 8-22 (2020). MSC: 65N30 74H45 PDFBibTeX XMLCite \textit{Y. Li} et al., Eng. Anal. Bound. Elem. 114, 8--22 (2020; Zbl 1464.65181) Full Text: DOI
Huo, S. H.; Liu, G. R.; Zhang, J. Q.; Song, C. M. A smoothed finite element method for octree-based polyhedral meshes with large number of hanging nodes and irregular elements. (English) Zbl 1441.65103 Comput. Methods Appl. Mech. Eng. 359, Article ID 112646, 23 p. (2020). MSC: 65N30 PDFBibTeX XMLCite \textit{S. H. Huo} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112646, 23 p. (2020; Zbl 1441.65103) Full Text: DOI
Cui, X.; Han, X.; Duan, S. Y.; Liu, G. R. An ABAQUS implementation of the cell-based smoothed finite element method (CS-FEM). (English) Zbl 07124751 Int. J. Comput. Methods 17, No. 2, Article ID 1850127, 43 p. (2020). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{X. Cui} et al., Int. J. Comput. Methods 17, No. 2, Article ID 1850127, 43 p. (2020; Zbl 07124751) Full Text: DOI
Li, Y. H.; Li, M.; Liu, G. R. A novel alpha smoothed finite element method for ultra-accurate solution using quadrilateral elements. (English) Zbl 07124748 Int. J. Comput. Methods 17, No. 2, Article ID 1845008, 32 p. (2020). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{Y. H. Li} et al., Int. J. Comput. Methods 17, No. 2, Article ID 1845008, 32 p. (2020; Zbl 07124748) Full Text: DOI
Wu, S. W.; Li, M.; Jiang, C. Liu, G. R. (ed.) Solution bounds and nearly exact solutions for 3D nonlinear problems of large deformation of solids using S-FEM. (English) Zbl 07124747 Int. J. Comput. Methods 17, No. 2, Article ID 1845007, 37 p. (2020). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{S. W. Wu} et al., Int. J. Comput. Methods 17, No. 2, Article ID 1845007, 37 p. (2020; Zbl 07124747) Full Text: DOI
Rong, Xin; Niu, Ruiping; Liu, Guirong Stability analysis of smoothed finite element methods with explicit method for transient heat transfer problems. (English) Zbl 07124745 Int. J. Comput. Methods 17, No. 2, Article ID 1845005, 37 p. (2020). MSC: 80-XX 65-XX PDFBibTeX XMLCite \textit{X. Rong} et al., Int. J. Comput. Methods 17, No. 2, Article ID 1845005, 37 p. (2020; Zbl 07124745) Full Text: DOI
Niu, R. P.; Liu, G. R.; Yue, J. H. Development of a software package of smoothed finite element method (S-FEM) for solid mechanics problems. (English) Zbl 07124744 Int. J. Comput. Methods 17, No. 2, Article ID 1845004, 52 p. (2020). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{R. P. Niu} et al., Int. J. Comput. Methods 17, No. 2, Article ID 1845004, 52 p. (2020; Zbl 07124744) Full Text: DOI
Zhang, J. F.; Niu, R. P.; Zhang, Y. F.; Wang, C. Q.; Li, M.; Liu, G. R. Development of SFEM-Pre: a novel preprocessor for model creation for the smoothed finite element method. (English) Zbl 07124742 Int. J. Comput. Methods 17, No. 2, Article ID 1845002, 36 p. (2020). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{J. F. Zhang} et al., Int. J. Comput. Methods 17, No. 2, Article ID 1845002, 36 p. (2020; Zbl 07124742) Full Text: DOI
Li, Yan; Liu, G. R. An element-free smoothed radial point interpolation method (EFS-RPIM) for 2D and 3D solid mechanics problems. (English) Zbl 1442.65406 Comput. Math. Appl. 77, No. 2, 441-465 (2019). MSC: 65N35 PDFBibTeX XMLCite \textit{Y. Li} and \textit{G. R. Liu}, Comput. Math. Appl. 77, No. 2, 441--465 (2019; Zbl 1442.65406) Full Text: DOI
Li, Y.; Liu, G. R. A novel node-based smoothed finite element method with linear strain fields for static, free and forced vibration analyses of solids. (English) Zbl 1428.74211 Appl. Math. Comput. 352, 30-58 (2019). MSC: 74S05 65N30 74H45 PDFBibTeX XMLCite \textit{Y. Li} and \textit{G. R. Liu}, Appl. Math. Comput. 352, 30--58 (2019; Zbl 1428.74211) Full Text: DOI
Niu, R. P.; Liu, G. R.; Li, M. The inverse methods based on S-FEMs with an adaptive SVD regularization technique for solving Cauchy inverse heat transfer problems. (English) Zbl 1464.80019 Eng. Anal. Bound. Elem. 107, 79-95 (2019). MSC: 80M10 65N30 65N21 80A23 PDFBibTeX XMLCite \textit{R. P. Niu} et al., Eng. Anal. Bound. Elem. 107, 79--95 (2019; Zbl 1464.80019) Full Text: DOI
Huo, S. H.; Li, Y. S.; Duan, S. Y.; Han, X.; Liu, G. R. Novel quadtree algorithm for adaptive analysis based on cell-based smoothed finite element method. (English) Zbl 1464.74180 Eng. Anal. Bound. Elem. 106, 541-554 (2019). MSC: 74S05 65N30 65N50 PDFBibTeX XMLCite \textit{S. H. Huo} et al., Eng. Anal. Bound. Elem. 106, 541--554 (2019; Zbl 1464.74180) Full Text: DOI
Du, C. F.; Zhang, D. G.; Liu, G. R. A cell-based smoothed finite element method for free vibration analysis of a rotating plate. (English) Zbl 07074130 Int. J. Comput. Methods 16, No. 5, Article ID 1840003, 29 p. (2019). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{C. F. Du} et al., Int. J. Comput. Methods 16, No. 5, Article ID 1840003, 29 p. (2019; Zbl 07074130) Full Text: DOI
Chen, Haodong; Wang, Qingsong; Zeng, W.; Liu, G. R.; Sun, Jinhua; He, Linghui; Bui, Tinh Quoc Dynamic brittle crack propagation modeling using singular edge-based smoothed finite element method with local mesh rezoning. (English) Zbl 1470.74055 Eur. J. Mech., A, Solids 76, 208-223 (2019). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{H. Chen} et al., Eur. J. Mech., A, Solids 76, 208--223 (2019; Zbl 1470.74055) Full Text: DOI
Li, Y. H.; Niu, Rui Ping; Liu, G. R. Highly accurate smoothed finite element methods based on simplified eight-noded hexahedron elements. (English) Zbl 1464.65182 Eng. Anal. Bound. Elem. 105, 165-177 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{Y. H. Li} et al., Eng. Anal. Bound. Elem. 105, 165--177 (2019; Zbl 1464.65182) Full Text: DOI
Yue, Junhong; Liu, G. R.; Li, Ming; Niu, Ruiping An edge-based smoothed finite element method for wave scattering by an obstacle in elastic media. (English) Zbl 1464.74224 Eng. Anal. Bound. Elem. 101, 121-138 (2019). MSC: 74S05 65N30 74J20 PDFBibTeX XMLCite \textit{J. Yue} et al., Eng. Anal. Bound. Elem. 101, 121--138 (2019; Zbl 1464.74224) Full Text: DOI
Jiang, Chen; Yao, Jian-Yao; Zhang, Zhi-Qian; Gao, Guang-Jun; Liu, G. R. A sharp-interface immersed smoothed finite element method for interactions between incompressible flows and large deformation solids. (English) Zbl 1440.76071 Comput. Methods Appl. Mech. Eng. 340, 24-53 (2018). MSC: 76M10 65M60 74F10 76D05 74S05 PDFBibTeX XMLCite \textit{C. Jiang} et al., Comput. Methods Appl. Mech. Eng. 340, 24--53 (2018; Zbl 1440.76071) Full Text: DOI
Wu, F.; Zeng, W.; Yao, L. Y.; Liu, G. R. A generalized probabilistic edge-based smoothed finite element method for elastostatic analysis of Reissner-Mindlin plates. (English) Zbl 1480.74210 Appl. Math. Modelling 53, 333-352 (2018). MSC: 74K20 PDFBibTeX XMLCite \textit{F. Wu} et al., Appl. Math. Modelling 53, 333--352 (2018; Zbl 1480.74210) Full Text: DOI
Nguyen-Thoi, T.; Bui-Xuan, T.; Liu, G. R.; Vo-Duy, T. 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. (English) Zbl 1404.74166 Int. J. Comput. Methods 15, No. 6, Article ID 1850056, 29 p. (2018). MSC: 74S05 65N25 65N30 74H45 74K25 PDFBibTeX XMLCite \textit{T. Nguyen-Thoi} et al., Int. J. Comput. Methods 15, No. 6, Article ID 1850056, 29 p. (2018; Zbl 1404.74166) Full Text: DOI
Jiang, Chen; Han, Xu; Zhang, Zhi-Qian; Liu, G. R.; Gao, Guang-Jun A locking-free face-based S-FEM via averaging nodal pressure using 4-nodes tetrahedrons for 3D explicit dynamics and quasi-statics. (English) Zbl 1404.74160 Int. J. Comput. Methods 15, No. 6, Article ID 1850043, 29 p. (2018). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{C. Jiang} et al., Int. J. Comput. Methods 15, No. 6, Article ID 1850043, 29 p. (2018; Zbl 1404.74160) Full Text: DOI
Bhowmick, Sauradeep; Liu, Gui Rong On singular ES-FEM for fracture analysis of solids with singular stress fields of arbitrary order. (English) Zbl 1403.74098 Eng. Anal. Bound. Elem. 86, 64-81 (2018). MSC: 74S05 65N30 74R10 PDFBibTeX XMLCite \textit{S. Bhowmick} and \textit{G. R. Liu}, Eng. Anal. Bound. Elem. 86, 64--81 (2018; Zbl 1403.74098) Full Text: DOI
Zeng, W.; Liu, G. R. Smoothed finite element methods (S-FEM): an overview and recent developments. (English) Zbl 1398.65312 Arch. Comput. Methods Eng. 25, No. 2, 397-435 (2018). MSC: 65N30 PDFBibTeX XMLCite \textit{W. Zeng} and \textit{G. R. Liu}, Arch. Comput. Methods Eng. 25, No. 2, 397--435 (2018; Zbl 1398.65312) Full Text: DOI
Liu, G. R. A novel pick-out theory and technique for constructing the smoothed derivatives of functions for numerical methods. (English) Zbl 1404.74162 Int. J. Comput. Methods 15, No. 3, Article ID 1850070, 33 p. (2018). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{G. R. Liu}, Int. J. Comput. Methods 15, No. 3, Article ID 1850070, 33 p. (2018; Zbl 1404.74162) Full Text: DOI
Li, Eric; He, Z. C.; Liu, G. R. Evaluation of the stiffness matrix in static and dynamic elasticity problems. (English) Zbl 1381.74200 Acta Mech. 229, No. 1, 363-388 (2018). MSC: 74S05 PDFBibTeX XMLCite \textit{E. Li} et al., Acta Mech. 229, No. 1, 363--388 (2018; Zbl 1381.74200) Full Text: DOI Link
Jiang, Chen; Han, Xu; Liu, G. R.; Zhang, Zhi-Qian; Yang, Gang; Gao, Guang-Jun Smoothed finite element methods (S-FEMs) with polynomial pressure projection (P3) for incompressible solids. (English) Zbl 1403.74110 Eng. Anal. Bound. Elem. 84, 253-269 (2017). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{C. Jiang} et al., Eng. Anal. Bound. Elem. 84, 253--269 (2017; Zbl 1403.74110) Full Text: DOI
Zeng, W.; Liu, G. R.; Jiang, C.; Dong, X. W.; Chen, H. D.; Bao, Y.; Jiang, Y. An effective fracture analysis method based on the virtual crack closure-integral technique implemented in CS-FEM. (English) Zbl 1459.74168 Appl. Math. Modelling 40, No. 5-6, 3783-3800 (2016). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{W. Zeng} et al., Appl. Math. Modelling 40, No. 5--6, 3783--3800 (2016; Zbl 1459.74168) Full Text: DOI
Nguyen-Xuan, H.; Wu, C. T.; Liu, G. R. An adaptive selective ES-FEM for plastic collapse analysis. (English) Zbl 1406.74639 Eur. J. Mech., A, Solids 58, 278-290 (2016). MSC: 74S05 65N30 65K05 65N50 74C05 PDFBibTeX XMLCite \textit{H. Nguyen-Xuan} et al., Eur. J. Mech., A, Solids 58, 278--290 (2016; Zbl 1406.74639) Full Text: DOI
Zeng, W.; Liu, G. R.; Jiang, C.; Nguyen-Thoi, T.; Jiang, Y. A generalized beta finite element method with coupled smoothing techniques for solid mechanics. (English) Zbl 1403.74133 Eng. Anal. Bound. Elem. 73, 103-119 (2016). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{W. Zeng} et al., Eng. Anal. Bound. Elem. 73, 103--119 (2016; Zbl 1403.74133) Full Text: DOI
Cui, Xiang Yang; Hu, Xiao Bin; Li, Guang Yao; Liu, Gui Rong A modified smoothed finite element method for static and free vibration analysis of solid mechanics. (English) Zbl 1359.74130 Int. J. Comput. Methods 13, No. 6, Article ID 1650043, 31 p. (2016). MSC: 74H45 74S05 65N30 PDFBibTeX XMLCite \textit{X. Y. Cui} et al., Int. J. Comput. Methods 13, No. 6, Article ID 1650043, 31 p. (2016; Zbl 1359.74130) Full Text: DOI
Xu, X.; Zheng, Z. Q.; Gu, Y. T.; Liu, G. R. A quasi-conforming point interpolation method (QC-PIM) for elasticity problems. (English) Zbl 1359.74452 Int. J. Comput. Methods 13, No. 5, Article ID 1650026, 14 p. (2016). MSC: 74S05 74B05 65N30 PDFBibTeX XMLCite \textit{X. Xu} et al., Int. J. Comput. Methods 13, No. 5, Article ID 1650026, 14 p. (2016; Zbl 1359.74452) Full Text: DOI
Liu, G. R. An overview on meshfree methods: for computational solid mechanics. (English) Zbl 1359.74388 Int. J. Comput. Methods 13, No. 5, Article ID 1630001, 42 p. (2016). MSC: 74Sxx 74-02 PDFBibTeX XMLCite \textit{G. R. Liu}, Int. J. Comput. Methods 13, No. 5, Article ID 1630001, 42 p. (2016; Zbl 1359.74388) Full Text: DOI
Chen, Meng; Li, Ming; Liu, G. R. Mathematical basis of \(G\) spaces. (English) Zbl 1359.46024 Int. J. Comput. Methods 13, No. 4, Article ID 1641007, 21 p. (2016). MSC: 46C99 65M60 PDFBibTeX XMLCite \textit{M. Chen} et al., Int. J. Comput. Methods 13, No. 4, Article ID 1641007, 21 p. (2016; Zbl 1359.46024) Full Text: DOI
Liu, G. R. On partitions of unity property of nodal shape functions: rigid-body-movement reproduction and mass conservation. (English) Zbl 1359.65261 Int. J. Comput. Methods 13, No. 2, Article ID 1640003, 13 p. (2016). MSC: 65N30 PDFBibTeX XMLCite \textit{G. R. Liu}, Int. J. Comput. Methods 13, No. 2, Article ID 1640003, 13 p. (2016; Zbl 1359.65261) Full Text: DOI
Yue, J. H.; Li, M.; Liu, G. R.; Niu, R. P. Proofs of the stability and convergence of a weakened weak method using PIM shape functions. (English) Zbl 1404.65284 Comput. Math. Appl. 72, No. 4, 933-951 (2016). MSC: 65N30 65N12 74S05 65D05 PDFBibTeX XMLCite \textit{J. H. Yue} et al., Comput. Math. Appl. 72, No. 4, 933--951 (2016; Zbl 1404.65284) Full Text: DOI
Nguyen-Xuan, H.; Liu, G. R. An edge-based finite element method (ES-FEM) with adaptive scaled-bubble functions for plane strain limit analysis. (English) Zbl 1423.74169 Comput. Methods Appl. Mech. Eng. 285, 877-905 (2015). MSC: 74C15 74S05 65N30 PDFBibTeX XMLCite \textit{H. Nguyen-Xuan} and \textit{G. R. Liu}, Comput. Methods Appl. Mech. Eng. 285, 877--905 (2015; Zbl 1423.74169) Full Text: DOI
Ong, Thanh Hai; Heaney, Claire E.; Lee, Chang-Kye; Liu, G. R.; Nguyen-Xuan, H. On stability, convergence and accuracy of bES-FEM and bFS-FEM for nearly incompressible elasticity. (English) Zbl 1423.74104 Comput. Methods Appl. Mech. Eng. 285, 315-345 (2015). MSC: 74B05 65N30 74S05 PDFBibTeX XMLCite \textit{T. H. Ong} et al., Comput. Methods Appl. Mech. Eng. 285, 315--345 (2015; Zbl 1423.74104) Full Text: DOI arXiv
He, Zhi Cheng; Li, Eric; Li, G. Y.; Wu, F.; Liu, G. R.; Nie, X. Acoustic simulation using \(\alpha\)-FEM with a general approach for reducing dispersion error. (English) Zbl 1403.76044 Eng. Anal. Bound. Elem. 61, 241-253 (2015). MSC: 76M10 65N30 76Q05 PDFBibTeX XMLCite \textit{Z. C. He} et al., Eng. Anal. Bound. Elem. 61, 241--253 (2015; Zbl 1403.76044) Full Text: DOI
Jiang, Chen; Zhang, Zhi-Qian; Liu, G. R.; Han, X.; Zeng, W. An edge-based/node-based selective smoothed finite element method using tetrahedrons for cardiovascular tissues. (English) Zbl 1403.74111 Eng. Anal. Bound. Elem. 59, 62-77 (2015). MSC: 74S05 65N30 74L15 92C10 PDFBibTeX XMLCite \textit{C. Jiang} et al., Eng. Anal. Bound. Elem. 59, 62--77 (2015; Zbl 1403.74111) Full Text: DOI
Wu, Fei; Liu, Guirong; Li, Guangyao; Cheng, Ai Guo; He, Z. C.; Hu, Z. H. A novel hybrid FS-FEM/SEA for the analysis of vibro-acoustic problems. (English) Zbl 1352.74453 Int. J. Numer. Methods Eng. 102, No. 12, 1815-1829 (2015). MSC: 74S05 76M10 65N30 74H45 76Q05 PDFBibTeX XMLCite \textit{F. Wu} et al., Int. J. Numer. Methods Eng. 102, No. 12, 1815--1829 (2015; Zbl 1352.74453) Full Text: DOI
Li, Eric; He, Z. C.; Xu, Xu; Liu, G. R.; Gu, Y. T. A three-dimensional hybrid smoothed finite element method (H-SFEM) for nonlinear solid mechanics problems. (English) Zbl 1328.74080 Acta Mech. 226, No. 12, 4223-4245 (2015). MSC: 74S05 PDFBibTeX XMLCite \textit{E. Li} et al., Acta Mech. 226, No. 12, 4223--4245 (2015; Zbl 1328.74080) Full Text: DOI
Jiang, Chen; Zhang, Zhi-Qian; Han, Xu; Liu, Gui-Rong Selective smoothed finite element methods for extremely large deformation of anisotropic incompressible bio-tissues. (English) Zbl 1352.74006 Int. J. Numer. Methods Eng. 99, No. 8, 587-610 (2014). MSC: 74A05 65N30 74L15 74S05 92C10 PDFBibTeX XMLCite \textit{C. Jiang} et al., Int. J. Numer. Methods Eng. 99, No. 8, 587--610 (2014; Zbl 1352.74006) Full Text: DOI
Wang, S.; Khoo, B. C.; Liu, G. R.; Xu, G. X.; Chen, L. Coupling GSM/ALE with ES-FEM-T3 for fluid-deformable structure interactions. (English) Zbl 1349.76282 J. Comput. Phys. 276, 315-340 (2014). MSC: 76M10 74S05 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{S. Wang} et al., J. Comput. Phys. 276, 315--340 (2014; Zbl 1349.76282) Full Text: DOI
Zhang, Zhi-Qian; Liu, G. R. Solution bound and nearly exact solution to nonlinear solid mechanics problems based on the smoothed FEM concept. (English) Zbl 1297.74134 Eng. Anal. Bound. Elem. 42, 99-114 (2014). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{Z.-Q. Zhang} and \textit{G. R. Liu}, Eng. Anal. Bound. Elem. 42, 99--114 (2014; Zbl 1297.74134) Full Text: DOI
Niu, R. P.; Liu, G. R.; Li, M. Reconstruction of dynamically changing boundary of multilayer heat conduction composite walls. (English) Zbl 1297.80016 Eng. Anal. Bound. Elem. 42, 92-98 (2014). MSC: 80M22 80A20 65M32 65K10 65M70 PDFBibTeX XMLCite \textit{R. P. Niu} et al., Eng. Anal. Bound. Elem. 42, 92--98 (2014; Zbl 1297.80016) Full Text: DOI
Li, Wei; Chai, Yingbin; Lei, Ming; Liu, G. R. Analysis of coupled structural-acoustic problems based on the smoothed finite element method (S-FEM). (English) Zbl 1297.74040 Eng. Anal. Bound. Elem. 42, 84-91 (2014). MSC: 74F10 74S05 65N30 PDFBibTeX XMLCite \textit{W. Li} et al., Eng. Anal. Bound. Elem. 42, 84--91 (2014; Zbl 1297.74040) Full Text: DOI
Luong-Van, H.; Nguyen-Thoi, T.; Liu, G. R.; Phung-Van, P. 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. (English) Zbl 1297.74122 Eng. Anal. Bound. Elem. 42, 8-19 (2014). MSC: 74S05 74K20 65M60 74A40 74D05 PDFBibTeX XMLCite \textit{H. Luong-Van} et al., Eng. Anal. Bound. Elem. 42, 8--19 (2014; Zbl 1297.74122) Full Text: DOI
Liu, G. R.; Zhang, G. Y.; Zong, Z.; Li, M. Meshfree cell-based smoothed alpha radial point interpolation method (CS-\(\alpha\)RPIM) for solid mechanics problems. (English) Zbl 1359.74472 Int. J. Comput. Methods 10, No. 4, Article ID 1350020, 31 p. (2013). MSC: 74S25 74S05 65N30 65N35 PDFBibTeX XMLCite \textit{G. R. Liu} et al., Int. J. Comput. Methods 10, No. 4, Article ID 1350020, 31 p. (2013; Zbl 1359.74472) Full Text: DOI
Xu, Xu; Gu, Yuantong; Liu, Guirong A hybrid smoothed finite element method (H-SFEM) to solid mechanics problems. (English) Zbl 1359.74453 Int. J. Comput. Methods 10, No. 1, Article ID 1340011, 17 p. (2013). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{X. Xu} et al., Int. J. Comput. Methods 10, No. 1, Article ID 1340011, 17 p. (2013; Zbl 1359.74453) Full Text: DOI
Nguyen-Xuan, H.; Liu, G. R.; Bordas, S.; Natarajan, S.; Rabczuk, T. An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order. (English) Zbl 1297.74126 Comput. Methods Appl. Mech. Eng. 253, 252-273 (2013). MSC: 74S05 65N30 74A45 PDFBibTeX XMLCite \textit{H. Nguyen-Xuan} et al., Comput. Methods Appl. Mech. Eng. 253, 252--273 (2013; Zbl 1297.74126) Full Text: DOI
He, Z. C.; Li, G. Y.; Zhong, Z. H.; Cheng, A. G.; Zhang, G. Y.; Liu, G. R.; Li, Eric; Zhou, Z. An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems. (English) Zbl 1308.74064 Comput. Mech. 52, No. 1, 221-236 (2013). MSC: 74H15 74S05 65N30 PDFBibTeX XMLCite \textit{Z. C. He} et al., Comput. Mech. 52, No. 1, 221--236 (2013; Zbl 1308.74064) Full Text: DOI
Zhang, Zhi-Qian; Liu, G. R.; Khoo, Boo Cheong A three dimensional immersed smoothed finite element method (3D IS-FEM) for fluid-structure interaction problems. (English) Zbl 1312.74049 Comput. Mech. 51, No. 2, 129-150 (2013). MSC: 74S05 74F10 76M10 76D05 PDFBibTeX XMLCite \textit{Z.-Q. Zhang} et al., Comput. Mech. 51, No. 2, 129--150 (2013; Zbl 1312.74049) Full Text: DOI
Chen, L.; Zhang, Y. W.; Liu, G. R.; Nguyen-Xuan, H.; Zhang, Z. Q. A stabilized finite element method for certified solution with bounds in static and frequency analyses of piezoelectric structures. (English) Zbl 1353.74069 Comput. Methods Appl. Mech. Eng. 241-244, 65-81 (2012). MSC: 74S05 74M05 74F15 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Methods Appl. Mech. Eng. 241--244, 65--81 (2012; Zbl 1353.74069) Full Text: DOI
Zhang, G. Y.; Liu, G. R.; Xu, X. A strain-constructed point interpolation method and strain field construction schemes for solid mechanics problems using triangular mesh. (English) Zbl 1291.74185 Appl. Math. Comput. 219, No. 4, 2067-2086 (2012). MSC: 74S05 74B05 74G15 PDFBibTeX XMLCite \textit{G. Y. Zhang} et al., Appl. Math. Comput. 219, No. 4, 2067--2086 (2012; Zbl 1291.74185) Full Text: DOI
Yao, Jianyao; Liu, G. R.; Narmoneva, Daria A.; Hinton, Robert B.; Zhang, Zhi-Qian Immersed smoothed finite element method for fluid-structure interaction simulation of aortic valves. (English) Zbl 1311.74047 Comput. Mech. 50, No. 6, 789-804 (2012). MSC: 74F10 74S05 76Z05 92C35 PDFBibTeX XMLCite \textit{J. Yao} et al., Comput. Mech. 50, No. 6, 789--804 (2012; Zbl 1311.74047) Full Text: DOI
Li, Eric; Liu, G. R.; Xu, George X.; Vincent, Tan; He, Z. C. Numerical modeling and simulation of pulsatile blood flow in rigid vessel using gradient smoothing method. (English) Zbl 1245.76165 Eng. Anal. Bound. Elem. 36, No. 3, 322-334 (2012). MSC: 76Z05 76M12 65M08 92C35 PDFBibTeX XMLCite \textit{E. Li} et al., Eng. Anal. Bound. Elem. 36, No. 3, 322--334 (2012; Zbl 1245.76165) Full Text: DOI
Chen, Lei; Rabczuk, Timon; Bordas, S. P. A.; Liu, Guirong; Zeng, Kai-Yang; Kerfriden, P. Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth. (English) Zbl 1243.74170 Comput. Methods Appl. Mech. Eng. 209-212, 250-265 (2012). MSC: 74R10 74S05 74A45 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Methods Appl. Mech. Eng. 209--212, 250--265 (2012; Zbl 1243.74170) Full Text: DOI
Li, Eric; Tan, Vincent; Xu, George X.; Liu, G. R.; He, Z. C. A novel linearly-weighted gradient smoothing method (LWGSM) in the simulation of fluid dynamics problem. (English) Zbl 1271.76248 Comput. Fluids 50, No. 1, 104-119 (2011). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{E. Li} et al., Comput. Fluids 50, No. 1, 104--119 (2011; Zbl 1271.76248) Full Text: DOI Link
Chen, L.; Liu, G. R.; Zeng, K.; Zhang, J. A novel variable power singular element in G space with strain smoothing for bi-material fracture analyses. (English) Zbl 1259.74028 Eng. Anal. Bound. Elem. 35, No. 12, 1303-1317 (2011). MSC: 74S05 74R10 74G70 PDFBibTeX XMLCite \textit{L. Chen} et al., Eng. Anal. Bound. Elem. 35, No. 12, 1303--1317 (2011; Zbl 1259.74028) Full Text: DOI
Cui, X. Y.; Liu, G. R.; Li, G. Y. Bending and vibration responses of laminated composite plates using an edge-based smoothing technique. (English) Zbl 1259.74029 Eng. Anal. Bound. Elem. 35, No. 6, 818-826 (2011). MSC: 74S05 74K20 74H45 74E30 PDFBibTeX XMLCite \textit{X. Y. Cui} et al., Eng. Anal. Bound. Elem. 35, No. 6, 818--826 (2011; Zbl 1259.74029) Full Text: DOI
Chen, Lei; Liu, Gui Rong; Zeng, Kai Yang A combined extended and edge-based smoothed finite element method (ES-XFEM) for fracture analysis of 2D elasticity. (English) Zbl 1245.74081 Int. J. Comput. Methods 8, No. 4, 773-786 (2011). MSC: 74R10 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{L. Chen} et al., Int. J. Comput. Methods 8, No. 4, 773--786 (2011; Zbl 1245.74081) Full Text: DOI
Jiang, Y.; Liu, G. R.; Zhang, Y. W.; Chen, L.; Tay, T. E. A singular ES-FEM for plastic fracture mechanics. (English) Zbl 1230.74183 Comput. Methods Appl. Mech. Eng. 200, No. 45-46, 2943-2955 (2011). MSC: 74S05 74R20 74G70 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Comput. Methods Appl. Mech. Eng. 200, No. 45--46, 2943--2955 (2011; Zbl 1230.74183) Full Text: DOI
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H. An \(n\)-sided polygonal edge-based smoothed finite element method (\(n\)ES-FEM) for solid mechanics. (English) Zbl 1248.74043 Int. J. Numer. Methods Biomed. Eng. 27, No. 9, 1446-1472 (2011). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 74S05 PDFBibTeX XMLCite \textit{T. Nguyen-Thoi} et al., Int. J. Numer. Methods Biomed. Eng. 27, No. 9, 1446--1472 (2011; Zbl 1248.74043) Full Text: DOI
Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T. A variationally consistent \(\alpha\)FEM (VC\(\alpha\)FEM) for solution bounds and nearly exact solution to solid mechanics problems using quadrilateral elements. (English) Zbl 1217.74126 Int. J. Numer. Methods Eng. 85, No. 4, 461-497 (2011). MSC: 74S05 74K99 PDFBibTeX XMLCite \textit{G. R. Liu} et al., Int. J. Numer. Methods Eng. 85, No. 4, 461--497 (2011; Zbl 1217.74126) Full Text: DOI
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Tran, C. Adaptive analysis using the node-based smoothed finite element method (NS-FEM). (English) Zbl 1370.74144 Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 198-218 (2011). MSC: 74S05 65N30 65N50 PDFBibTeX XMLCite \textit{T. Nguyen-Thoi} et al., Int. J. Numer. Methods Biomed. Eng. 27, No. 2, 198--218 (2011; Zbl 1370.74144) Full Text: DOI
Xu, X.; Liu, G. R.; Gu, Y. T.; Zhang, G. Y. A conforming point interpolation method (CPIM) by shape function reconstruction for elasticity problems. (English) Zbl 1267.74132 Int. J. Comput. Methods 7, No. 3 (2010). MSC: 74S30 74B05 PDFBibTeX XML Full Text: DOI
Nguyen-Xuan, H.; Liu, G. R.; Thai-Hoang, C.; Nguyen-Thoi, T. An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner-Mindlin plates. (English) Zbl 1227.74083 Comput. Methods Appl. Mech. Eng. 199, No. 9-12, 471-489 (2010). MSC: 74S05 74K20 PDFBibTeX XMLCite \textit{H. Nguyen-Xuan} et al., Comput. Methods Appl. Mech. Eng. 199, No. 9--12, 471--489 (2010; Zbl 1227.74083) Full Text: DOI
Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T. A theoretical study on the smoothed FEM (S-FEM) models: properties, accuracy and convergence rates. (English) Zbl 1202.74180 Int. J. Numer. Methods Eng. 84, No. 10, 1222-1256 (2010). MSC: 74S05 65N30 65N12 PDFBibTeX XMLCite \textit{G. R. Liu} et al., Int. J. Numer. Methods Eng. 84, No. 10, 1222--1256 (2010; Zbl 1202.74180) Full Text: DOI
Zhang, Zhi-Qian; Liu, G. R. Upper and lower bounds for natural frequencies: a property of the smoothed finite element methods. (English) Zbl 1202.74188 Int. J. Numer. Methods Eng. 84, No. 2, 149-178 (2010). MSC: 74S05 74H45 74H15 PDFBibTeX XMLCite \textit{Z.-Q. Zhang} and \textit{G. R. Liu}, Int. J. Numer. Methods Eng. 84, No. 2, 149--178 (2010; Zbl 1202.74188) Full Text: DOI
Liu, G. R.; Chen, L.; Nguyen-Thoi, T.; Zeng, K. Y.; Zhang, G. Y. A novel singular node-based smoothed finite element method (NS-FEM) for upper bound solutions of fracture problems. (English) Zbl 1202.74179 Int. J. Numer. Methods Eng. 83, No. 11, 1466-1497 (2010). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{G. R. Liu} et al., Int. J. Numer. Methods Eng. 83, No. 11, 1466--1497 (2010; Zbl 1202.74179) Full Text: DOI
Zhang, Zhi-Qian; Liu, G. R. Temporal stabilization of the node-based smoothed finite element method and solution bound of linear elastostatics and vibration problems. (English) Zbl 1398.74431 Comput. Mech. 46, No. 2, 229-246 (2010). MSC: 74S05 74S30 74H45 74K20 74K25 PDFBibTeX XMLCite \textit{Z.-Q. Zhang} and \textit{G. R. Liu}, Comput. Mech. 46, No. 2, 229--246 (2010; Zbl 1398.74431) Full Text: DOI
He, Z. C.; Liu, G. R.; Zhong, Z. H.; Zhang, G. Y.; Cheng, A. G. Dispersion free analysis of acoustic problems using the alpha finite element method. (English) Zbl 1344.76078 Comput. Mech. 46, No. 6, 867-881 (2010). MSC: 76Q05 76M10 PDFBibTeX XMLCite \textit{Z. C. He} et al., Comput. Mech. 46, No. 6, 867--881 (2010; Zbl 1344.76078) Full Text: DOI
Tran, Thanh Ngoc; Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T. An edge-based smoothed finite element method for primal-dual shakedown analysis of structures. (English) Zbl 1188.74073 Int. J. Numer. Methods Eng. 82, No. 7, 917-938 (2010). MSC: 74S05 74C05 PDFBibTeX XMLCite \textit{T. N. Tran} et al., Int. J. Numer. Methods Eng. 82, No. 7, 917--938 (2010; Zbl 1188.74073) Full Text: DOI
Wu, S. C.; Liu, G. R.; Cui, X. Y.; Nguyen, T. T.; Zhang, G. Y. An edge-based smoothed point interpolation method (ES-PIM) for heat transfer analysis of rapid manufacturing system. (English) Zbl 1190.80038 Int. J. Heat Mass Transfer 53, No. 9-10, 1938-1950 (2010). MSC: 80A20 80M25 PDFBibTeX XMLCite \textit{S. C. Wu} et al., Int. J. Heat Mass Transfer 53, No. 9--10, 1938--1950 (2010; Zbl 1190.80038) Full Text: DOI
Liu, M. B.; Liu, G. R. Smoothed particle hydrodynamics (SPH): an overview and recent developments. (English) Zbl 1348.76117 Arch. Comput. Methods Eng. 17, No. 1, 25-76 (2010). MSC: 76M28 76T10 76-02 PDFBibTeX XMLCite \textit{M. B. Liu} and \textit{G. R. Liu}, Arch. Comput. Methods Eng. 17, No. 1, 25--76 (2010; Zbl 1348.76117) Full Text: DOI Link
Liu, G. R. 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. (English) Zbl 1183.74359 Int. J. Numer. Methods Eng. 81, No. 9, 1127-1156 (2010). MSC: 74S30 74S05 74K20 74K10 PDFBibTeX XMLCite \textit{G. R. Liu}, Int. J. Numer. Methods Eng. 81, No. 9, 1127--1156 (2010; Zbl 1183.74359) Full Text: DOI
Liu, G. R. A G space theory and a weakened weak (\(W^2\)) form for a unified formulation of compatible and incompatible methods. I: Theory. (English) Zbl 1183.74358 Int. J. Numer. Methods Eng. 81, No. 9, 1093-1126 (2010). MSC: 74S30 74S05 PDFBibTeX XMLCite \textit{G. R. Liu}, Int. J. Numer. Methods Eng. 81, No. 9, 1093--1126 (2010; Zbl 1183.74358) Full Text: DOI
Chen, L.; Liu, G. R.; Nourbakhsh-Nia, N.; Zeng, K. A singular edge-based smoothed finite element method (ES-FEM) for bimaterial interface cracks. (English) Zbl 1398.74316 Comput. Mech. 45, No. 2-3, 109-125 (2010). MSC: 74S05 74S30 74R05 74R10 74B05 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Mech. 45, No. 2--3, 109--125 (2010; Zbl 1398.74316) Full Text: DOI
Nguyen-Thoi, T.; Liu, G. R.; Nguyen-Xuan, H. Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems. (English) Zbl 1267.74115 Int. J. Comput. Methods 6, No. 4 (2009). MSC: 74S05 PDFBibTeX XML Full Text: DOI
Liu, G. R.; Zhang, G. Y. A normed G space and weakened weak (\(\mathrm W^2\)) formulation of a cell-based smoothed point interpolation method. (English) Zbl 1264.74285 Int. J. Comput. Methods 6, No. 1, 147-179 (2009). MSC: 74S30 74S05 74B05 PDFBibTeX XMLCite \textit{G. R. Liu} and \textit{G. Y. Zhang}, Int. J. Comput. Methods 6, No. 1, 147--179 (2009; Zbl 1264.74285) Full Text: DOI
He, Z. C.; Liu, G. R.; Zhong, Z. H.; Wu, S. C.; Zhang, G. Y.; Cheng, A. G. An edge-based smoothed finite element method (ES-FEM) for analyzing three-dimensional acoustic problems. (English) Zbl 1231.76147 Comput. Methods Appl. Mech. Eng. 199, No. 1-4, 20-33 (2009). MSC: 76M10 76Q05 PDFBibTeX XMLCite \textit{Z. C. He} et al., Comput. Methods Appl. Mech. Eng. 199, No. 1--4, 20--33 (2009; Zbl 1231.76147) Full Text: DOI
Nguyen-Thoi, T.; Liu, G. R.; Vu-Do, H. C.; Nguyen-Xuan, H. A face-based smoothed finite element method (FS-FEM) for visco-elastoplastic analyses of 3D solids using tetrahedral mesh. (English) Zbl 1230.74193 Comput. Methods Appl. Mech. Eng. 198, No. 41-44, 3479-3498 (2009). MSC: 74S05 74C10 PDFBibTeX XMLCite \textit{T. Nguyen-Thoi} et al., Comput. Methods Appl. Mech. Eng. 198, No. 41--44, 3479--3498 (2009; Zbl 1230.74193) Full Text: DOI
Xu, X.; Liu, G. R.; Zhang, G. Y. A point interpolation method with least square strain field (PIM-LSS) for solution bounds and ultra-accurate solutions using triangular mesh. (English) Zbl 1227.74120 Comput. Methods Appl. Mech. Eng. 198, No. 17-20, 1486-1499 (2009). MSC: 74S30 PDFBibTeX XMLCite \textit{X. Xu} et al., Comput. Methods Appl. Mech. Eng. 198, No. 17--20, 1486--1499 (2009; Zbl 1227.74120) Full Text: DOI
Nguyen-Thoi, T.; Liu, G. R.; Lam, K. Y.; Zhang, G. Y. A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically nonlinear solid mechanics problems using 4-node tetrahedral elements. (English) Zbl 1183.74299 Int. J. Numer. Methods Eng. 78, No. 3, 324-353 (2009). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{T. Nguyen-Thoi} et al., Int. J. Numer. Methods Eng. 78, No. 3, 324--353 (2009; Zbl 1183.74299) Full Text: DOI
Nguyen-Thoi, T.; Liu, G. R.; Vu-Do, H. C.; Nguyen-Xuan, H. An edge-based smoothed finite element method for visco-elastoplastic analyses of 2D solids using triangular mesh. (English) Zbl 1398.74382 Comput. Mech. 45, No. 1, 23-44 (2009). MSC: 74S05 74C10 74D05 74S30 PDFBibTeX XMLCite \textit{T. Nguyen-Thoi} et al., Comput. Mech. 45, No. 1, 23--44 (2009; Zbl 1398.74382) Full Text: DOI
Liu, G. R.; Nguyen-Xuan, H.; Nguyen-Thoi, T.; Xu, X. A novel Galerkin-like weakform and a superconvergent alpha finite element method (S\(\alpha \)FEM) for mechanics problems using triangular meshes. (English) Zbl 1273.74542 J. Comput. Phys. 228, No. 11, 4055-4087 (2009). MSC: 74S05 74G15 PDFBibTeX XMLCite \textit{G. R. Liu} et al., J. Comput. Phys. 228, No. 11, 4055--4087 (2009; Zbl 1273.74542) Full Text: DOI
Liu, G. R.; Nguyen-Thoi, T.; Nguyen-Xuan, H.; Dai, K. Y.; Lam, K. Y. Letter to the editor: On the essence and the evaluation of the shape functions for the smoothed finite element method (SFEM). (English) Zbl 1181.74137 Int. J. Numer. Methods Eng. 77, No. 13, 1863-1869 (2009). MSC: 74S05 PDFBibTeX XMLCite \textit{G. R. Liu} et al., Int. J. Numer. Methods Eng. 77, No. 13, 1863--1869 (2009; Zbl 1181.74137) Full Text: DOI
Liu, G. R.; Nguyen-Thoi, T.; Lam, K. Y. A novel alpha finite element method (\(\alpha \)FEM) for exact solution to mechanics problems using triangular and tetrahedral elements. (English) Zbl 1194.74433 Comput. Methods Appl. Mech. Eng. 197, No. 45-48, 3883-3897 (2008). MSC: 74S05 PDFBibTeX XMLCite \textit{G. R. Liu} et al., Comput. Methods Appl. Mech. Eng. 197, No. 45--48, 3883--3897 (2008; Zbl 1194.74433) Full Text: DOI