A stabilized conforming nodal integration for Galerkin mesh-free methods

By Jiun-Shyan Chen, Cheng‐Tang Wu, Sangpil Yoon, Y. You. 2001

1,415 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/1afdf7dd45571265ee8c5e5524e49e6fe7a2e26f

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In Computational Mechanics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

Large deflection geometrically nonlinear analysis of carbon nanotube-reinforced functionally graded cylindrical panels (2014, methodology): “(49)–(53), the bending stiffness matrices are determined using the stabilized nodal integration [35] and other stiffness and force terms are determined using the direct nodal integration [36] instead of the Gauss integration which may reduce the high computational cost and eliminate errors caused by”
A gradient smoothing method (GSM) with directional correction for solid mechanics problems (2007, methodology): “For constructing the difference schemes, a smooth operation to the gradient of field function u is proposed as follows: [34–36],”
Lagrangian Meshfree Formulation for Analysis of Geotechnical Materials (2001, methodology): “The recent work by Chen et al. (2001b) introduced a stabilized conformation nodal integration for Galerkin meshfree methods to significantly reduce the computational effort in the formation of stiffness matrix and force vectors, without sacrificing accuracy.”
Convergence and stabilization of stress‐point integration in mesh‐free and particle methods (2008, methodology): “[20], we propose a least-squares stabilization term for the stress-point integration.”
Consistent element‐free Galerkin method (2014, background): “[24] developed a stabilized conforming nodal integration (SCNI), which is stable and provides even better accuracy than the Gauss integration.”
A generalized approximation for the meshfree analysis of solids (2011, methodology): “[38] to evaluate the performance of the stabilized conforming nodal integration (SCNI) method in comparison with other meshfree integration schemes.”
A Smoothed Finite Element Method for Mechanics Problems (2007, methodology): “The condition is met by using strain smoothing techniques for each representative nodal cell [7].”
An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates (2010, methodology): “have applied a strain smoothing technique [40] to formulate a cell/element-based smoothed finite element method (SFEM or CS-FEM) [41–49] for 2D solids and then CS-FEM is extended to”
Analysis of plates and shells using an edge-based smoothed finite element method (2009, methodology): “The smoothing operation [19] has been generalized to include discontinuous functions [17], and is used for the gradient of field variables, and the smoothing operations are performed in various ways for creating models of desired properties.”