A TRULY-MESHLESS GALERKIN METHOD, THROUGH THE MLPG "MIXED" APPROACH
Journal of Marine Science and Technology, 2011 A truly meshless Galerkin method is formulated in the present study, as a special case of the general Meshless Local Petrov-Galerkin (MLPG) ”Mixed” approach. The Galerkin method is implemented as a truly meshless method, for solving elasto-static problems. In the present Galerkin method, the test function is chosen to be the same as the trial function,
Zhidong Han, Satya N. Atluri
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Meshless Local Petrov-Galerkin (MLPG) Method with Orthogonal Polynomials for Euler-Bernoulli Beam Problems [PDF]
, 2019 In this paper, the feasibility of orthogonal polynomials in the meshless local Petrov Galerkin method (MLPG) method is studied. The orthogonal polynomials, Chebyshev and Legendre polynomials, are used in this MLPG method as trial functions.
Raju, Ivatury S.
core
A comparison study on different MLPG (LBIE) formulations
, 2006 Comparison studies on the accuracy provided by five different elastostatic Meshless Local Petrov-Galerkin (MLPG) type formulations, based on Local Boundary Integral Equation (LBIE) considerations, are made.
E. J. Sellountos +2 more
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A New Implementation of the Meshless Finite Volume Method, Through the MLPG "Mixed'' Approach
, 2004 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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Meshless Local Petrov-Galerkin (MLPG) Approaches for Solving the Weakly-Singular Traction & Displacement Boundary Integral Equations [PDF]
, 2003 The general Meshless Local Petrov-Galerkin (MLPG) type weak-forms of the displacement & traction boundary integral equations are presented, for solids undergoing small deformations.
Z. D. Han, S. N. Atluri, S. Shen
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Civil Engineering Dimension, 2008 A meshless local Petrov-Galerkin (MLPG) method that employs polygonal sub-domains constructed from several triangular patches rather than the typically used circular sub-domains is presented.
Pamuda Pudjisuryadi
doaj
Determination of Crack Tip Fields in Linear Elastostatics by the Meshless Local Petrov-Galerkin (MLPG) Method [PDF]
, 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.
H.-K. Ching, R. C. Batra
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The Meshless Local Petrov-Galerkin (MLPG) Method: A Simple & Less-costly Alternative to the Finite Element and Boundary Element Methods [PDF]
, 2002 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 Cubic Radial Basis Function in the MLPG Method for Beam Problems
, 2002 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.
core
2003d): A Cubic Radial Basis Function in the MLPG Method for Beam Problems
, 2008 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 ...
I. S. Raju, D. R. Phillips
core