The basis of meshless domain discretization: The meshless local Petrov-Galerkin (MLPG) method

Satya N. Atluri; Shengping Shen

doi:10.1007/s10444-004-1813-9

The basis of meshless domain discretization: The meshless local Petrov-Galerkin (MLPG) method

Satya N. Atluri
, Shengping Shen

University of California at Irvine

Research output: Contribution to journal › Article › peer-review

85 Scopus citations

Abstract

The MLPG method is the general basis for several variations of meshless methods presented in recent literature. The interrelation of the various meshless approaches is presented in this paper. Several variations of the meshless interpolation schemes are reviewed also. Recent developments and applications of the MLPG methods are surveyed.

Original language	English
Pages (from-to)	73-93
Number of pages	21
Journal	Advances in Computational Mathematics
Volume	23
Issue number	1-2
DOIs	https://doi.org/10.1007/s10444-004-1813-9
State	Published - Jul 2005
Externally published	Yes

Keywords

Local weak form
MLPG
Meshless method

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10.1007/s10444-004-1813-9

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title = "The basis of meshless domain discretization: The meshless local Petrov-Galerkin (MLPG) method",

abstract = "The MLPG method is the general basis for several variations of meshless methods presented in recent literature. The interrelation of the various meshless approaches is presented in this paper. Several variations of the meshless interpolation schemes are reviewed also. Recent developments and applications of the MLPG methods are surveyed.",

keywords = "Local weak form, MLPG, Meshless method",

author = "Atluri, \{Satya N.\} and Shengping Shen",

year = "2005",

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doi = "10.1007/s10444-004-1813-9",

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AU - Atluri, Satya N.

AU - Shen, Shengping

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Y1 - 2005/7

N2 - The MLPG method is the general basis for several variations of meshless methods presented in recent literature. The interrelation of the various meshless approaches is presented in this paper. Several variations of the meshless interpolation schemes are reviewed also. Recent developments and applications of the MLPG methods are surveyed.

AB - The MLPG method is the general basis for several variations of meshless methods presented in recent literature. The interrelation of the various meshless approaches is presented in this paper. Several variations of the meshless interpolation schemes are reviewed also. Recent developments and applications of the MLPG methods are surveyed.

KW - Local weak form

KW - MLPG

KW - Meshless method

UR - https://www.scopus.com/pages/publications/16244377097

U2 - 10.1007/s10444-004-1813-9

DO - 10.1007/s10444-004-1813-9

M3 - 文章

AN - SCOPUS:16244377097

SN - 1019-7168

VL - 23

SP - 73

EP - 93

JO - Advances in Computational Mathematics

JF - Advances in Computational Mathematics

IS - 1-2

ER -

The basis of meshless domain discretization: The meshless local Petrov-Galerkin (MLPG) method

Abstract

Keywords

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