A New Implementation of the Meshless Finite Volume Method, Through the MLPG "Mixed" Approach
By Satya N. Atluri, Z. D. Han, A. Rajendran. 2004
178 citations recorded by the source corpus.
Subfields: Computational Mechanics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/61f55eab5cf14176376a7b7bdee89ef773289ee6
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In Computational Mechanics
- Guirong Liu
- Guangyao Li
- Xiangyang Cui
- Trung Nguyen-Thoi
- Hung Nguyen-Xuan
- Pihua Wen
- X. Zhao
- Guiyong Zhang
In Mechanics of Materials
- Guirong Liu
- Trung Nguyen-Thoi
- Hung Nguyen-Xuan
- Guangyao Li
- Xiangyang Cui
- Satya N. Atluri
- Pihua Wen
- Guangyong Sun
Citations in the corpus
- Meshless Method for Crack Analysis in Functionally Graded Materials with Enriched Radial Base Functions (2008, methodology): “Recently, Atluri and his colleagues presented a family of meshless methods, based on the Local weak Petrov-Galerkin formulation (MLPGs) for arbitrary partial differential equations [see Atluri et al (1998a, 1998b, 1999, 2002, 2004a) with moving least-square (MLS) approximation].”
- Meshless Local Petrov-Galerkin (MLPG) Mixed Collocation Method For Elasticity Problems (2006, methodology): “Furthermore, the socalled “mixed” interpolation algorithm, wherein both the displacements and the displacement gradients are interpolated using the same shape functions, independently, has recently been proposed [Atluri, Han, and Rajendran (2004)].”
- A Smoothed Finite Element Method (SFEM) for Linear and Geometrically Nonlinear Analysis of Plates and Shells (2008, methodology): “and Atluri (2002); Soric et al. (2004); Li et al. (2005); Sladek et al. (2006); Jarak et al. (2007)], and Atluri et al. (2004) proposed a meshless finite volume method through the MLPG “mixed” approach.”
- Meshless Local Petrov-Galerkin (MLPG) Mixed Finite Difference Method for Solid Mechanics (2006, methodology): “In a series of efforts to simplify and speed up the meshless implementation, Atluri et al. (2004) proposed the so-called MLPG “mixed” finite volume method, in which both the displacements and the displacement- 2 Copyright c© 2006 Tech Science Press CMES, vol.15, no.1, pp.1-16, 2006 gradients are…”