Meshless Local Petrov-Galerkin (MLPG) Mixed Finite Difference Method for Solid Mechanics
By Satya N. Atluri, H. Liu, Z. D. Han. 2006
98 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/a9c672c00906a18175f14f489d9beaa5bfffcc73
How researchers see this paper
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In Computational Mechanics
- Vladimír Sládek
- Ján Sládek
- Pihua Wen
- P. Šolek
- Robert Michael Kirby
- Martin Berzins
- Michael Steffen
- James Guilkey
In Electrical and Electronic Engineering
In Mechanics of Materials
- Vladimír Sládek
- Ján Sládek
- Pihua Wen
- Ch. Zhang
- Satya N. Atluri
- P. Šolek
- James Guilkey
- Martin Berzins
Citations in the corpus
- Examination and Analysis of Implementation Choices within the Material Point Method (MPM) (2008, methodology): “…the Meshless Local Petrov-Galerkin Method (MLPG) [Atluri and Zhu (1998); Han, Rajendran, and Atluri (2005); Han, Liu, Rajendran, and Atluri (2006); Atluri (2006); Atluri, Liu, and Han (2006)], MPM utilizes a background mesh to perform differentiation, integration, and solve the equations of motion.”
- Thermal Analysis of Reissner-Mindlin Shallow Shells with FGM Properties by the MLPG (2008, methodology): “…and rotations [Han et al (2006)]; in the development of the mixed scheme to interpolate the elastic displacements and stresses independently [Atluri et al (2006a), (2006b)]; in proposal of a direct solution method for the quasi-unsymmetric sparse matrix arising in the MLPG [Yuan et al…”
- Fracture Analyses in Continuously Nonhomogeneous Piezoelectric Solids by the MLPG (2007, methodology): “To reduce the computing time, a mixed formulation [Atluri et al. (2006)] can be applied, which reduces the radius of the support domain at the same accuracy as in the traditional approximation.”