Characteristics of semi- and full discretization of stabilized Galerkin meshfree method

Authors:
Yang You;Jiun-Shyan Chen;Thomas E. Voth
Affiliations:
Department of Civil & Environmental Engineering, University of California, Los Angeles, 5731G Boelter Hall, Los Angeles, CA;Department of Civil & Environmental Engineering, University of California, Los Angeles, 5731G Boelter Hall, Los Angeles, CA;Thermal Science Department, Sandia National Laboratories, M/S 0819, P.O. Box 5800, Albuquerque, NM
Venue:
Finite Elements in Analysis and Design - Robert J. Melosh medal competition
Year:
2002

Citing 0
Cited 5

Stabilized conforming nodal integration: exactness and variational justification

Finite Elements in Analysis and Design
Galerkin based smoothed particle hydrodynamics

Computers and Structures
Stabilized conforming nodal integration: exactness and variational justification

Finite Elements in Analysis and Design
On the analysis of dispersion property and stable time step in meshfree method using the generalized meshfree approximation

Finite Elements in Analysis and Design
Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures

Computational Mechanics

Quantified Score

Hi-index	0.00

Visualization

Abstract

Stabilized conforming nodal integration (SCNI) has been developed to enhance computational efficiency of Galerkin meshfree methods. This paper employs von Neumann analyses to study the spatial semi-discretization of Galerkin meshfree methods using SCNI. Two model problems were presented with respect to the normalized phase speed and group speed for the wave equation, and normalized diffusivity for the heat equation. Both consistent and lumped mass (capacity) discretizations are considered in the study. The transient properties in the full discretization of the two model problems were also analyzed. The results show superior dispersion behavior in meshfree methods integrated by SCNI compared to the Gauss integration when consistent mass (capacity) matrix is employed in the discretization. For the lumped mass case, SCNI performance is comparable to that of the Gauss integration, but exhibits considerable reduction of computational time.