Results 11 to 20 of about 16,293,491 (153)
Meshless Local Petrov-Galerkin (MLPG) Method for Convection-Diffusion Problems [PDF]
Computer Modeling in Engineering & Sciences, 2000 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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Meshless Local Petrov-Galerkin (MLPG) Mixed Collocation Method For Elasticity Problems
Computer Modeling in Engineering & Sciences, 2006 The Meshless Local Petrov-Galerkin (MLPG) mixed collocation method is proposed in this paper, for solving elasticity problems. In the present MLPG approach, the mixed scheme is applied to interpolate the displacements and stresses independently, as in the MLPG finite volume method.
Atluri, S. N., Liu, H. T., Han, Z. D.
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Application of Meshless Local Petrov-Galerkin (MLPG) Method in Cloth Simulation
Computer Modeling in Engineering & Sciences, 2008 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) Mixed Finite Difference Method for Solid Mechanics
Computer Modeling in Engineering & Sciences, 2006 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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Meshless Local Petrov-Galerkin (MLPG) Method for Shear Deformable Shells Analysis
Computer Modeling in Engineering & Sciences, 2006 A meshless local Petrov-Galerkin (MLPG) method is applied to solve bending problems of shear deformable shallow shells described by the Reissner theory. Both static and dynamic loads are considered. For transient elastodynamic case the Laplace-transform is used to eliminate the time dependence of the field variables. A weak formulation with a unit test
J. Sladek +3 more
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Multiscale Simulation Based on The Meshless Local Petrov-Galerkin (MLPG) Method
Computer Modeling in Engineering & Sciences, 2004 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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The Meshless Local Petrov-Galerkin (MLPG) Method for Solving Incompressible Navier-Stokes Equations [PDF]
Computer Modeling in Engineering & Sciences, 2001 The truly Meshless Local Petrov-Galerkin (MLPG) method is extended to solve the incompressible Navier-Stokes equations. The local weak form is modified in a very careful way so as to ovecome the so-called Babus~ka-Brezzi conditions. In addition, The upwinding scheme as developed in Lin and Atluri (2000a) and Lin and Atluri (2000b) is used to stabilize ...
H. Lin, S.N. Atluri
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Computer Modeling in Engineering & Sciences, 2007 In this paper we propose a direct solution method for the quasi-unsymmetric sparse matrix (QUSM) arising in the Meshless Local Petrov-Galerkin method (MLPG). QUSM, which is conventionally treated as a general unsymmetric matrix, is unsymmetric in its numerical values, but nearly symmetric in its nonzero distribution of upper and lower triangular ...
Yuan, Weiran, Chen, Pu, Liu, Kaishin
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Arbitrary Placement of Secondary Nodes, and Error Control, in the Meshless Local Petrov-Galerkin (MLPG) Method [PDF]
Computer Modeling in Engineering & Sciences, 2000 The truly meshless local Petrov-Galerkin (MLPG) method holds a great promise in solving boundary value problems, using a local symmetric weak form as a natural approach. In the present paper, in the context of MLPG and the meshless interpolation of a moving least squares (MLS) type, a method which uses primary and secondary nodes in the domain and on ...
Kim, H.-G., Atluri, S. N.
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Meshless Local Petrov-Galerkin Method for 3D Steady-State Heat Conduction Problems
Advances in Mechanical Engineering, 2011 The Meshless Local Petrov-Galerkin (MLPG) method is applied for solving the three-dimensional steady state heat conduction problems. This method is a truly meshless approach; also neither the nodal connectivity nor the background mesh is required for ...
M. J. Mahmoodabadi +3 more
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