A Meshless Local Petrov-Galerkin (MLPG) Approach Based on the Regular Local Boundary Integral Equation for Linear Elasticity

DOI10.1080/15502280701471434zbMath1144.74305OpenAlexW2038183486MaRDI QIDQ5451527

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Publication date: 27 March 2008

Published in: International Journal for Computational Methods in Engineering Science and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15502280701471434

zbMATH Keywords

meshless methodsMLPGmoving least squares approximationlocal boundary integral equation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Numerical Simulation of 3-D Potential Problems by Regular Hybrid Boundary Node Method ⋮ A new LBIE method for solving elastodynamic problems ⋮ The Nonlinear Meshless Local Petrov-Galerkin (MLPG) Method from the Nonlinear Regular Local Boundary Integral Equation ⋮ Development of User Element Routine (UEL) for Cell-Based Smoothed Finite Element Method (CSFEM) in Abaqus

Cites Work

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• An implicit gradient model by a reproducing kernel strain regularization in strain localization problems
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
• A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• A meshless local boundary integral equation (LBIE) method for solving nonlinear problems
• Multiresolution reproducing kernel particle methods
• The method of finite spheres
• The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
• Analysis of thin plates by the element-free Galerkin method
• A coupled finite element -- element-free Galerkin method
• A new implementation of the element free Galerkin method
• A meshless numerical method based on the local boundary integral equation (LBIE) to solve linear and nonlinear boundary value problems
• A new meshless regular local boundary integral equation (MRLBIE) approach
• Element‐free Galerkin methods
• New concepts in meshless methods
• Wavelet and multiple scale reproducing kernel methods

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