A gradient smoothing method (GSM) based on strong form governing equation for adaptive analysis of solid mechanics problems
暂无分享,去创建一个
Guirong Liu | K. Lam | Hua Li | Jian Zhang | G. Xu
[1] G. G. Stokes. "J." , 1890, The New Yale Book of Quotations.
[2] S. Timoshenko,et al. Theory of elasticity , 1975 .
[3] B. D. Veubeke. Displacement and equilibrium models in the finite element method , 1965 .
[4] E. R. A. Oliveira. Theoretical foundations of the finite element method , 1968 .
[5] D. Shepard. A two-dimensional interpolation function for irregularly-spaced data , 1968, ACM National Conference.
[6] T. Liszka,et al. The finite difference method at arbitrary irregular grids and its application in applied mechanics , 1980 .
[7] H. Saunders. Book Reviews : The Finite Element Method (Revised): O.C. Zienkiewicz McGraw-Hill Book Co., New York, New York , 1980 .
[8] Chia-Jung Hsu. Numerical Heat Transfer and Fluid Flow , 1981 .
[9] Erwin Stein,et al. Finite Inelastic Deformations — Theory and Applications , 1992 .
[10] E. Gdoutos,et al. Fracture Mechanics , 2020, Encyclopedic Dictionary of Archaeology.
[11] Peter Hansbo,et al. Adaptive finite element methods for small strain elasto-plasticity , 1992 .
[12] Pierre Beckers,et al. Dual analysis with general boundary conditions , 1995 .
[13] Mark A Fleming,et al. Meshless methods: An overview and recent developments , 1996 .
[14] Oden,et al. An h-p adaptive method using clouds , 1996 .
[15] T. Liszka,et al. hp-Meshless cloud method , 1996 .
[16] Pär-Ola Andersson. ERROR ESTIMATION AND ADAPTIVE REFINEMENT IN THE ELEMENT FREE GALERKIN METHOD , 1997 .
[17] Josep Sarrate,et al. Adaptive finite element strategies based on error assessment , 1999 .
[18] Heung-Jin Chung,et al. Adaptive nodal generation with the element-free Galerkin method , 2000 .
[19] N. Aluru. A point collocation method based on reproducing kernel approximations , 2000 .
[20] E. Ramm,et al. Error-controlled Adaptive Finite Elements in Solid Mechanics , 2001 .
[21] Jiun-Shyan Chen,et al. A stabilized conforming nodal integration for Galerkin mesh-free methods , 2001 .
[22] Santiago Falcón,et al. An error indicator for the element free Galerkin method , 2001 .
[23] Eugenio Oñate,et al. A finite point method for elasticity problems , 2001 .
[24] Guirong Liu,et al. A point interpolation method for two-dimensional solids , 2001 .
[25] Guirong Liu,et al. A point interpolation meshless method based on radial basis functions , 2002 .
[26] Yongsik Kim,et al. Point collocation methods using the fast moving least‐square reproducing kernel approximation , 2003 .
[27] Sang-Hoon Park,et al. A posteriori error estimates and an adaptive scheme of least‐squares meshfree method , 2003 .
[28] Chi King Lee,et al. On error estimation and adaptive refinement for element free Galerkin method: Part II: adaptive refinement , 2004 .
[29] K. Y. Dai,et al. A LINEARLY CONFORMING POINT INTERPOLATION METHOD (LC-PIM) FOR 2D SOLID MECHANICS PROBLEMS , 2005 .
[30] Gui-Rong Liu,et al. An Introduction to Meshfree Methods and Their Programming , 2005 .
[31] Do Wan Kim,et al. Maximum principle and convergence analysis for the meshfree point collocation method , 2006, SIAM J. Numer. Anal..
[32] Gui-Rong Liu,et al. A stabilized least-squares radial point collocation method (LS-RPCM) for adaptive analysis , 2006 .
[33] K. Y. Lam,et al. Radial point interpolation based finite difference method for mechanics problems , 2006 .
[34] Gui-Rong Liu,et al. A regularized least-squares radial point collocation method (RLS-RPCM) for adaptive analysis , 2007 .
[35] G. Y. Li,et al. A gradient smoothing method (GSM) with directional correction for solid mechanics problems , 2007 .
[36] Guirong Liu,et al. Upper bound solution to elasticity problems: A unique property of the linearly conforming point interpolation method (LC‐PIM) , 2008 .
[37] Guirong Liu. Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition , 2009 .
[38] Guirong Liu,et al. A superconvergent point interpolation method (SC‐PIM) with piecewise linear strain field using triangular mesh , 2009 .