EDGE-BASED SMOOTHED POINT INTERPOLATION METHODS

By Guirong Liu, Guiyong Zhang. 2008

175 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/5f20ad40632e00b3f768a9659f0155e11568de9a

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In Computational Mechanics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

A singular edge-based smoothed finite element method (ES-FEM) for crack analyses in anisotropic media (2011, unknown): “The development in this new direction originated from the recently discovered ES-PIM [53,54] using the simple point interpolation method (PIM).”
Assessment of smoothed point interpolation methods for elastic mechanics (2010, methodology): “By constructing the smoothing domains associated with the edges of the triangular background cells, the edge-based smoothed point interpolation method (ES-PIM) [45] and the edge-based smoothed radial point interpolation method (ES-RPIM) have been formulated.”
A normed G space and weakened weak (W2) formulation of a cell-based smoothed point interpolation method (2009, methodology): “…edge-based domains, the edge-based smoothed finite element method (ES-FEM) [Liu, Nguyen and Lam (2008); Nguyen and Liu et al. (2008)] and the edge-based smoothed point interpolation method (ES-PIM) [Liu and Zhang (2008b)] have been developed in the settings of FEM and meshfree methods respectively.”
A thin plate formulation without rotation DOFs based on the radial point interpolation method and triangular cells (2011, methodology): “DOI: 10.1002/nme.3000 A thin plate formulation without rotation DOFs based on the radial point interpolation method and triangular cells X. Y. Cui1,2, G. R. Liu2,3, G. Y. Li1,∗,† and G. Y. Zhang3 1State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha ”
An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems (2013, methodology): “The edge-based smoothed point interpolation method (ES-PIM) [38] was also proposed accordingly in the frame of meshfree.”
A cell-based smoothed radial point interpolation method (CS-RPIM) for static and free vibration of solids (2010, methodology): “In constructing the RPIM shape functions, supporting nodes selected using the T2Lscheme introduced by Liu and Zhang [16].”