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Modified meshless local Petrov–Galerkin formulations for elastodynamics
International Journal for Numerical Methods in Engineering, 2012SUMMARYThis paper is concerned with the extension to the elastodynamic problems of the idea of analytical integrations in meshless local weak formulations. In this context, Taylor series expansions of the incognita fields are considered, and the related integrals of the meshless formulations are solved analytically, rendering a so‐called modified ...
Soares, D. jun., Sladek, V., Sladek, J.
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Meshless local Petrov‐Galerkin (MLPG) methods in quantum mechanics
COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2011PurposeThe purpose of this paper is to solve both eigenvalue and boundary value problems coming from the field of quantum mechanics through the application of meshless methods, particularly the one known as meshless local Petrov‐Galerkin (MLPG).Design/methodology/approachRegarding eigenvalue problems, the authors show how to apply MLPG to the time ...
Nicomedes, Williams L. +2 more
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Direct meshless local Petrov–Galerkin method for elastodynamic analysis
Acta Mechanica, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirzaei, Davoud, Hasanpour, Kourosh
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Non‐linear dynamic analyses by meshless local Petrov–Galerkin formulations
International Journal for Numerical Methods in Engineering, 2009AbstractIn this work, meshless methods based on the local Petrov–Galerkin approach are proposed for the solution of dynamic problems considering elastic and elastoplastic materials. Formulations adopting the Heaviside step function and the Gaussian weight function as the test functions in the local weak form are considered.
Soares, D. jun., Sladek, J., Sladek, V.
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A meshless local Petrov-Galerkin scaled boundary method
Computational Mechanics, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deeks, A. J., Augarde, C. E.
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CUDA Approach for Meshless Local Petrov–Galerkin Method
IEEE Transactions on Magnetics, 2015In this paper, a strategy to parallelize the meshless local Petrov–Galerkin (MLPG) method is developed. It is executed in a high parallel architecture, the well known graphics processing unit. The MLPG algorithm has many variations depending on which combination of trial and test functions is used.
Bruno C. Correa +2 more
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