Meshless Local Petrov-Galerkin (MLPG) approaches for solving 3D Problems in elasto-statics
, 2004 Three different truly Meshless Local Petrov-Galerkin (MLPG) methods are developed for solving 3D elasto-static problems. Using the general MLPG concept, these methods are derived through the local weak forms of the equilibrium equations, by using ...
Z. D. Han, S. N. Atluri
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A Finite Element enrichment technique by the Meshless Local Petrov-Galerkin method
, 2010 In the engineering practice meshing and re-meshing complex domains by Finite Elements (FE) is one of the most time-consuming efforts. Meshless methods avoid this task but are computationally more expensive than standard FE. A somewhat natural improvement
A. Mazzia, M. Ferronato, G. Pini
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Mixed Meshless Local Petrov Galerkin (MLPG) Collocation Method for Modeling of Heterogeneous Materials [PDF]
, 2014 In recent time, a class of numerical approaches known as meshless methods has attracted considerable attention due to its potential to overcome time-consuming mesh generation and element distortion problems associated with the finite element method.
Sorić, Jurica +2 more
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Meshless local Petrov–Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation [PDF]
, 2010 During the past few years, the idea of using meshless methods for numerical solution of partial differential equations (PDEs) has received much attention throughout the scientific community, and remarkable progress has been achieved on meshless methods ...
Mirzaei, Davoud, Dehghan, Mehdi
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Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element. [PDF]
Materials (Basel), 2022 Huang W +4 more
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A numerical framework coupling finite element and meshless methods in sequential and parallel simulations. [PDF]
Finite Elem Anal Des, 2023 Nguyen VD +9 more
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Truly Meshless Local Petrov-Galerkin (MLPG) Solutions of Traction & Displacement BIEs
, 2003 The numerical implementation of the truly Meshless Local Petrov-Galerkin (MLPG) type weak-forms of the displacement and traction boundary integral equations is presented, for solids undergoing small deformations. In the accompanying part I of this paper,
Z. D. Han, S. N. Atluri
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Meshless Local Petrov-Galerkin (MLPG) Approaches for Solving Nonlinear Problems with Large Deformations and Rotations [PDF]
, 2005 A nonlinear formulation of the Meshless Local Petrov-Galerkin (MLPG) finite-volume mixed method is developed for the large deformation analysis of static and dynamic problems.
Z. D. Han, S.N. Atluri, A. M. Rajendran
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Meshless Local Petrov-Galerkin Method for Bending Problems
, 2002 The Finite Element Method (FEM) is extensively used as an engineering analysis tool because of its versatility and flexibility. However, the method suffers from drawbacks such as discontinuous secondary variables across inter-element boundaries and the ...
Raju, Ivatury S. +3 more
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Computer Modeling in Engineering & Sciences, 2001 It is shown that the MLPG method augmented with the enriched basis functions and either the visibility criterion or the diffraction criterion successfully predicts the singular stress fields near a crack tip. Results are presented for a single edge-cracked plate and a double edge-cracked plate with plate edges parallel to the crack axis loaded in ...
H.-K. Ching, R. C. Batra
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