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A local meshless method to approximate the time-fractional telegraph equation
Engineering with Computers, 2020In the present work, we investigate the numerical solution of time-fractional telegraph equation by a local meshless method. The fractional-order derivative is defined in the Caputo’s sense. The time semi-discretization was carried out using finite difference method followed by radial basis function-based spatial discretization.
Alpesh Kumar +2 more
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Parallel coordinate free implementation of local meshless method
2018 41st International Convention on Information and Communication Technology, Electronics and Microelectronics (MIPRO), 2018This paper presents an implementation of a Meshless Local Strong Form Method that allows users to write elegant code expressed in terms of abstract mathematical objects, such as operators and fields, consequently avoiding working directly with matrix and array indices, which is tedious and error prone.
Jure Slak, Gregor Kosec
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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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A Wachspress Meshless Local Petrov–Galerkin method
Engineering Analysis with Boundary Elements, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Local Meshless Method for Steady State Convection Dominated Flows
International Journal of Computational Methods, 2017A stable localized meshless method (SLMM) is proposed for convection dominated PDEs exhibiting boundary layer. Some cases of continuous and discontinuous boundary data as well as continuous and discontinuous source function with constant and variable convection coefficients are considered. In this approach, the localized meshless method is implemented
Siraj-ul-Islam, Singh, Vikendra
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Weak-form collocation – A local meshless method in linear elasticity
Engineering Analysis with Boundary Elements, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oliveira, T., Portela, A.
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A hybrid meshless local Petrov–Galerkin method for unbounded domains
Computer Methods in Applied Mechanics and Engineering, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deeks, A. J., Augarde, C. E.
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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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Elastodynamic problems by meshless local integral method: Analytical formulation
Engineering Analysis with Boundary Elements, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen, P. H., Aliabadi, M. H.
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A comparison of numerical integration rules for the meshless local Petrov–Galerkin method
Numerical Algorithms, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MAZZIA, ANNAMARIA +3 more
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