Arbitrary Placement of Secondary Nodes, and Error Control, in the Meshless Local Petrov-Galerkin (MLPG) Method

By Hyun Gyu Kim, Satya N. Atluri. 2000

80 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/10edc368b3665cba31bd0f2394c37f7cd9914202

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. S. Shen
2. Gang Li
3. Satya N. Atluri
4. Xiaozhong Jin
5. N. Aluru
6. S. Long
7. Der-Liang Young
8. C. Tsai

In Electrical and Electronic Engineering

1. S. Shen
2. S. Long
3. Der-Liang Young
4. C. Tsai
5. Y. C. Lin
6. Gang Li
7. Satya N. Atluri
8. N. Aluru

In Mechanics of Materials

1. S. Shen
2. Satya N. Atluri
3. Xiaozhong Jin
4. N. Aluru
5. Gang Li
6. Chein-Shan Liu
7. S. Long
8. Der-Liang Young

Citations in the corpus

• On the Equivalence Between Least-Squares and Kernel Approximations in Meshless Methods (2001, background): “…and Oden (1996)], local boundary integral equation (LBIE) [Zhu, Zhang, Atluri (1998)], meshless local PetrovGalerkin (MLPG) [Atluri and Zhu (1998); Kim and Atluri (2000); Lin and Atluri (2000)], finite point method [Onate, et al. (1996); Wordelman et al. (2000)], boundary node method [Mukherjee…”
• The Meshless Local Petrov-Galerkin (MLPG) Method: A Simple \& Less-costly Alternative to the Finite Element and Boundary Element Methods (2002, methodology): “…successes of the MLPG method have been reported in solving the convection-diffusion problems [Lin & Atluri (2000)]; fracture mechanics problems [Kim & Atluri (2000), Ching & Batra (2001)]; Navier-Stokes flows [Lin & Atluri (2001)]; and plate bending problems [Gu & Liu (2001), and Long & Atluri…”
• Investigations on the Accuracy and Condition Number for the Method of Fundamental Solutions (2006, methodology): “…(1990A, 1990B), Li, Cheng and Chen (2003), Young, Jane, Lin, Chiu and Chen (2004), Young, Chen and Wong (2005)] as well as the meshless local Petrov-Galerkin method (MLPG) [Wordelman, Aluru and Ravaioli (2000), Lin and Atluri (2000), Kim and Atluri (2000), Atluri (2004), Han and Atluri (2004)].”
• A Meshless Local Petrov-Galerkin Method for Solving the Bending Problem of a Thin Plate (2002, methodology): “Meshless methods have become very attractive and efficient for the development of adaptive methods for solving boundary value problems because nodes can be easily added and deleted without a burdensome remeshing of the entire structure [Kim and Atluri (2000)].”
• The use of Timoshenko's exact solution for a cantilever beam in adaptive analysis (2008, unknown): “[6-12]).”