Meshfree Methods/Element Free Methods

 

[JA42] Song, B., Liu, G.R., Lam, K.Y. and Amano, R.S., Four-Point Interpolation schemes for convective fluxes approximation, Numerical Heat Transfer: fundamentals, Vol 35, 1999, pp.23-39.

[JA62] Liu, G.R. and Gu, Y.T., Coupling Element Free Galerkin And Hybrid Boundary Element Methods Using Modified Variational Formulation, Computational Mechanics. Vol.26, 2000, 166-173.

[JA63] Liu, G.R. and Gu, Y.T., Meshless Local Perov-Galerkin (MLPG) Method In Combination With Finite Element And Boundary Element Approaches, Computational Mechanics. Vol.26, 2000, pp.536-546.

[JA76] Liu, G.R. and Gu, Y.T., A Local Point Interpolation Method For Stress Analysis Of Two-Dimensional Solids, Structural Engineering and Mechanics. Vol. 11, No. 2, 2001, pp. 221-236.

[JA78] Liu, G.R. and Gu, Y.T., A Point Interpolation Method For Two-Dimensional Solids, Int. J. Num. Methods in Engrg. Vol.50, 2001, pp.937-951.

[JA88] Gu, Y.T., Liu, G.R., A Meshless Local Petrov-Galerkin (MLPG) Method For Free And Forced Vibration Analyses For Solids, Computational Mechanics 27 (2001) 3, 188-198.

[JA89] Gu Y.T., Liu G.R., A Coupled Element Free Galerkin/Boundary Element Method For Stress Analysis Of Two-Dimension Solid, Computer Methods in Applied Mechanics and Engineering. Vol 190(34), pp 4405-4419. 2001.

[JA93] Liu, G.R., and Chen, X.L., A Mesh Free Method For Static And Free Vibration Analyses Of Thin Plates Of Complicated Shape. Journal of Sound and Vibration. 241 (5) 2001, pp. 839-855.

[JA103] Gu, Y.T. and Liu, G.R. A Local Point Interpolation Method (LPIM) For Static And Dynamic Analysis Of Thin Beams, Computer Methods in Applied Mechanics and Engineering. Vol.190, 2001, pp.5515-5528.

[JA110] Liu, G. R. and Gu, Y. T., A Local Radial Point Interpolation Method (LRPIM) For Free Vibration Analyses Of 2-D Solids, Journal of Sound and Vibration, (2001) 246 (1), 29-46.

[JA113] Wang, J.G., Liu, G. R., and Wu Y.G., A Point Interpolation Method For Simulating Dissipation Process Of Consolidation, Computer Methods in Applied Mechanics and Engineering. Vol. 190, 2001, pp.5907-5922.

[JA115] Gu, Y.T., and Liu, G.R. A Meshless Local Petrov-Galerkin (MLPG) Formulation For Static And Free Vibration Analyses Of Thin Plates, Computer Modeling in Engineering & Sciences, 2(4), 2001, pp: 463-476.

[JA123] Liu, G.R. A Point Assembly Method For Stress Analysis For Two-Dimensional Solids, International Journal of Solids and Structures. Vol.39, 2002, pp.261-276.

[JA132] Gu, Y.T. and Liu, G.R., A Boundary Point Interpolation Method For Stress Analysis Of Solids, Computational Mechanics. 28, 2002, pp. 47-54.

[JA138] Wang, J.G. and Liu, G.R., A Point Interpolation Meshless Method Based On Radial Basis Functions, International Journal for numerical methods in engineering. 54, 2002, pp. 1623-1648.

[JA141] Wang, J.G. and Liu, G.R. On The Optimal Shape Parameters Of Radial Basis Functions Used For 2-D Meshless Methods. Computer Methods in applied Mechanics and Engineering, 191, 2002, pp. 2611-2630.

[JA145] Liu, G.R. and Gu, Y.T., Comparisons of two meshfree local point interpolation methods for structural analyses. Computational Mechanics, 29(2), 2002, pp. 107-121.

[JA153] Liu L., Liu G.R. and Tan V.B.C., Element Free Method For Static And Free Vibration Analysis Of Spatial Thin Shell Structures, Computer Methods in Applied mechanics and Engineering, 191 : 5923 – 5942, 2002.

[JA157] Wang, J.G., Liu, G.R. and Lin, P., Numerical Analysis Of Biot’s Consolidation Process By Radial Point Interpolation Method, International Journal of Solids and Structures 39(6), 2002, pp. 1557 – 1573.

[JA158] Liu, G.R. and Chen, X.L., Bucking Of Symmetrically Laminated Composite Plates Using The Element-Free Galerkin Method, International Journal of Structural Stability and Dynamics, 2(3), 2002, pp. 281 – 294.

[JA160] Liu, G.R. and Tu, Z. H., An Adaptive Procedure Based On Background Cells For Meshless Methods, Computer Methods In Applied Mechanics And Engineering, 191, 2002, pp. 1923-1943.

[JA161] Liu GR, Dai KY, Lim KM and Gu YT. A Point Interpolation Mesh Free Method For Static And Frequency Analysis Of Two-Dimensional Piezoelectric Structures, COMPUT MECH 29 (6): 510-519 NOV 2002.

[JA162] (Unavailable) Liu GR, Yan L, Wang JG and Gu YT. Point Interpolation Method Based On Local Residual Formulation Using Radial Basis Functions. STRUCT ENG MECH 14 (6): 713-732 DEC 2002.

[JA165] Liu MB, Liu GR, Lam KY, Investigations Into Water Mitigation Using A Meshless Particle Method, Shock Waves, 12 (3): 181-195 NOV 2002.

[JA169] Chen XL, Liu GR, Lim SP, An Element Free Galerkin Method For The Free Vibration Analysis Of Composite Laminates Of Complicated Shape, COMPOS STRUCT 59 (2): 279-289 FEB 2003.

[JA172] Gu YT, Liu GR, A Boundary Radial Point Interpolation Method (BRPIM) For 2-D Structural Analyses, Structural Engineering And Mechanics, 15 (5): 535-550 MAY 2003.

[JA177] Liu GR, Dai KY, Lim KM and Gu YT, A Radial Point Interpolation Method For Simulation Of Two-Dimensional Piezoelectric Structures, Smart Materials and Structures, 12, 171-180, 2003.

[JA178] Liu MB, Liu GR, Lam KY and Zong Z, Meshfree particle simulation of the detonation process for high explosives in shaped charge unlined cavity configurations, Shock Waves, 12 (6): 509-520, 2003.

[JA179] Liu MB, Liu GR and Lam KY, Constructing smoothing functions in smoothed particle hydrodynamics with applications, Journal of Computational and Applied Mathematics, 155 (2): 263-284, 2003.

[JA180] Wu YL and Liu GR, A meshfree formulation of local radial point interpolation method (LRPIM) for incompressible flow simulation, Computational Mechanics, 30 (5-6): 355-365, 2003.

[JA186] Liu GR and Gu YT, A matrix triangularization algorithm for the polynomial point interpolation method, Computer Methods in Applied Mechanics and Engineering, 192 (19): 2269-2295, 2003.

[JA191] Gu YT and Liu GR, Hybrid boundary point interpolation methods and their coupling with the element free Galerkin method, 27 (9): 905-917, 2003.

[JA192] Dai KY, Liu GR, Lim KM and Gu YT, Comparison between the radial point interpolation and the Kriging interpolation used in meshfree methods, Computational Mechanics, 32 (1-2): 60-70, 2003.

[JA195] Liu MB, Liu GR and Lam KY, A one-dimensional meshfree particle formulation for simulating shock waves, Shock Waves, 13 (3): 201-211, 2003.

[JA196] Liu GR and Gu YT, A meshfree method: Meshfree Weak-Strong (MWS) form method, for 2-D solids, Computational Mechanics, 33 (1): 2-14, 2003.

[JA197] Liu MB, Liu GR, Lam KY and Zong Z, Computer simulation of shaped charge detonation using meshless particle method, International Journal for Blasting and Fragmentation, 7 (3): 181-202, 2003.

[JA198] Liu MB, Liu GR and Lam KY, Computer simulation of flip-chip underfill encapsulation process using the meshfree particle method, International Journal of Computational Engineering Science, 4 (2): 405-408, 2003.

[JA199] Liu GR, Wu YL and Ding H, Meshfree weak-strong(MWS) form method and its application to imcompressible flow problems, International Journal for Numerical Methods in Fluids, 46: 1025-1047, 2004.

[JA200] Dai KY, Liu GR, Lim KM and Chen XL, A mesh-free method for static and free vibration analysis of shear deformable laminated composite plates, Journal of Sound and Vibration, 269 (3-5): 633-652, 2004.

[JA201] Liu GR, Gu YT and Dai K, Assessment and applications of point interpolation methods for computational mechanics, International Journal for Numerical Methods in Engineering, 59 (10): 1373-1397, 2004.

[JA207] Liu GR and Gu YT, Boundary meshfree methods based on the boundary point interpolation methods, Engineering Analysis with Boundary Elements, 28 (5): 475-487, 2004.

[JA210] Dai KY, Liu GR, Lim KM, Han X and Du SY, A meshfree radial point interpolation method for analysis of functionally graded material (FGM) plates, Computational Mechanics, 34 (3): 213-223, 2004.

[JA221] Gu YT, Liu GR, A meshfree weak-strong (MWS) form method for time dependent problems, Computational Mechanics, 35 (2): 134-145, 2005.

[JA226] Dai KY, Liu GR, Han X and Lim KM, Thermomechanical analysis of functionally graded material (FGM) plates using Element-free Galerkin method, Computers & Structures, 83 (17-18): 1487-1502, 2005.