Results 31 to 40 of about 136 (126)
Application of Meshless Local Petrov-Galerkin (MLPG) Method in Cloth Simulation
In this paper we present an approach to cloth simulation which models the deformation based on continuum mechanics and discretized with Meshless Local Petrov-Galerkin (MLPG) Method. MLPG method, which involves not only a meshless interpolation for trial functions, but also a meshless integration of the local weak form, has been considered as a general ...
Weiran Yuan +3 more
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Meshless Local Petrov-Galerkin (MLPG) Method for Convection-Diffusion Problems
Due to the very general nature of the Meshless Local Petrov-Galerkin (MLPG) method, it is very easy and natural to introduce the upwinding concept (even in multi-dimensional cases) in the MLPG method, in order to deal with convection-dominated flows. In this paper, several upwinding schemes are proposed, and applied to solve steady convection-diffusion
H. Lin, S.N. Atluri
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A numerical analysis based on the meshless local Petrov- Galerkin (MLPG) method is proposed for a functionally graded material FGM (FGMfunctionally graded material) beam.
Sátor Ladislav +2 more
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Multiscale Simulation Based on The Meshless Local Petrov-Galerkin (MLPG) Method
A multiscale simulation technique based on the MLPG methods, and finite deformation mechanics, is developed, implemented, and tested. Several alternate time-dependent interfacial conditions, between the atomistic and continuum regions, are systematically studied, for the seamless multiscale simulation, by decomposing the displacement of atoms in the ...
gping Shen, S. N. Atluri
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In the present study, an adjoint-based shape-optimization method is formulated for heat transfer enhancement in liquid-solid phase change problems, in which heat conduction is dominant.
Kenichi MORIMOTO +2 more
doaj +1 more source
Meshless Local Petrov-Galerkin (MLPG) Mixed Finite Difference Method for Solid Mechanics
The Finite Difference Method (FDM), within the framework of the Meshless Local Petrov-Galerkin (MLPG) approach, is proposed in this paper for solving solid mechanics problems. A "mixed'' interpolation scheme is adopted in the present implementation: the displacements, displacement gradients, and stresses are interpolated independently using identical ...
Atluri, S. N., Liu, H. T., Han, Z. D.
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The paper analyzed the thermal problem of the 2D FGM beam using meshless weighted least‐square (MWLS) method. The MWLS as a meshless method is fully independent of mesh, and an approximate function was used to construct a series of linear equations to solve the unknown field variable, which avoided the troublesome task of numerical integration.
H. M. Zhou +3 more
wiley +1 more source
Meshless local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches [PDF]
Combinations of the meshless local Petrov-Galerkin (MLPG) method with finite element (FE) and boundary element (BE) methods are proposed for elasticity boundary value problems with the aim to improve the solution efficiency. Special interface elements are needed along the border of MLPG and FE (or BE) regions in order to satisfy the displacement ...
Gu, YuanTong, Liu, Gui-Rong
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The design and analysis of nanoelectromechanical systems (NEMSs) provide significant challenges due to the dominance of surface forces, quantum‐scale effects, and complex material properties, where classical electrostatics and continuum mechanics become inadequate.
N. M. Mary Sindhuja +4 more
wiley +1 more source
Meshless Singular Boundary Method for Nonlinear Sine‐Gordon Equation
A meshless method based on the singular boundary method is developed for the numerical solution of the time‐dependent nonlinear sine‐Gordon equation with Neumann boundary condition. In this method, by using a time discrete scheme to approximate the time derivatives, the time‐dependent nonlinear problem is transformed into a sequence of time‐independent
Yun Ji, Mariano Torrisi
wiley +1 more source

