The Meshless Local Petrov-Galerkin (MLPG) Method: A Simple & Less-costly Alternative to the Finite Element and Boundary Element Methods [PDF]
A comparison study of the efficiency and accuracy of a variety of meshless trial and test functions is presented in this paper, based on the general concept of the meshless local Petrov-Galerkin (MLPG) method.
Satya N. Atluri, Shengping Shen
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A New Implementation of the Meshless Finite Volume Method, Through the MLPG "Mixed'' Approach
The Meshless Finite Volume Method (MFVM) is developed for solving elasto-static problems, through a new Meshless Local Petrov-Galerkin (MLPG) ``Mixed'' approach.
Z. D. Han, S. N. Atluri, A. M. Rajendran
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Véges rugalmas-képlékeny alakváltozás elméleti és numerikus vizsgálata = Theoretical and numerical investigation of finite elasto-plastic deformation [PDF]
Az OTKA kutatási téma keretében az alábbi kutatási eredmények születtek: -A mikropoláris testek rugalmas-képlékeny alakváltozásának számítására végelemes eljárás dolgoztunk ki háromdimenziós testek és és kis alakváltozások esetén.
Szabó, László +2 more
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A Meshless Local Petrov-Galerkin (MLPG) Approach for 3-Dimensional Elasto-dynamics [PDF]
A Meshless Local Petrov-Galerkin (MLPG) method has been developed for solving 3D elasto-dynamic problems. It is derived from the local weak form of the equilibrium equations by using the general MLPG concept.
Z. D. Han, S. N. Atluri
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Behavioral evidence for global consciousness transcending national parochialism. [PDF]
Liu JH +7 more
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Topology-optimization of Structures Based on the MLPG Mixed Collocation Method
The Meshless Local Petrov-Galerkin (MLPG) "mixed collocation'' method is applied to the problem of topology-optimization of elastic structures. In this paper, the topic of compliance minimization of elastic structures is pursued, and nodal design ...
S. N. Atluri, Shu Li
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Two- and Three-Dimensional Transient Thermoelastic Analysis by the MLPG Method
The meshless local Petrov-Galerkin (MLPG) method for transient linear thermoelastic analysis is presented. Orthotropic material properties are considered here. In uncoupled thermoelasticity, the temperature field is not influenced by displacements. Therefore, in the first step, the heat conduction equation is solved for the temperature distribution in ...
Sladek, J. +4 more
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A progressive local attention mechanism for fine-grained crop pest identification
Crop pests remain a major factor limiting global crop yields. As such, it is essential to reduce their infestation by identifying individual species and implementing precise control measures.
Huasheng Huang +7 more
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Fracture Analyses in Continuously Nonhomogeneous Piezoelectric Solids by the MLPG
A meshless method based on the local Petrov-Galerkin approach is proposed for crack analysis in two-dimensional (2-D) and three-dimensional (3-D) axisymmetric piezoelectric solids with continuously varying material properties. Axial symmetry of geometry and boundary conditions reduces the original 3-d boundary value problem into a 2-d problem ...
J. Sladek +4 more
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A Cubic Radial Basis Function in the MLPG Method for Beam Problems
A non-compactly supported cubic radial basis function implementation of the MLPG method for beam problems is presented. The evaluation of the derivatives of the shape functions obtained from the radial basis function interpolation is much simpler than ...
Raju, I. S., Phillips, D. R.
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