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GMRES Solver for MLPG Method Applied to Heat Conduction
Volume 11: Heat Transfer and Thermal Engineering, 2020Abstract In recent years, meshless local Petrov-Galerkin (MLPG) method has emerged as the promising choice for solving variety of scientific and engineering problems. MLPG formulation leads to a non-symmetric system of algebraic equations.
Abhishek Kumar Singh, Krishna Singh
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Analysis of errors in MLPG methods
AIP Conference Proceedings, 2012The locality of meshless methods for the numerical solution of partial differential equations is achieved by the moving least squares (MLS) approximation. We analyzed experimentally the errors in the MLS approximation and in the meshless local Petrov-Galerkin (MLPG) solution method and confirmed that there is only a short interval of MLS support radii ...
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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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Computational efficiency of linear system construction for MLPG method on a multicore computer
2019 42nd International Convention on Information and Communication Technology, Electronics and Microelectronics (MIPRO), 2019A contact problem is simulated and surface stresses are analyzed in order to determine the conditions for crack initiation due to fretting fatigue. A weak-form Meshless Local Petrov-Galerkin (MLPG) method is used for simulating the displacements in the material, due to the applied external forces.
Matjaz Depolli, Roman Trobec
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A stabilized MLPG method for steady state incompressible fluid flow simulation
Journal of Computational Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue-Hong Wu +3 more
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Efficient cubature formulae for MLPG and related methods
International Journal for Numerical Methods in Engineering, 2005AbstractThe paper introduces four kinds of compact, simple to implement Gaussian cubature formulae for approximating the domain integrals arising in the discrete local weak form (DLWF) of a governing partial differential equation solved by means of the meshless local Petrov–Galerkin method of type MLPG1.
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Numerical solution of EFIE using MLPG methods
Engineering Analysis with Boundary Elements, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A moving Kriging‐based MLPG method for nonlinear Klein–Gordon equation
Mathematical Methods in the Applied Sciences, 2016In this paper, the meshless local Petrov–Galerkin approximation is proposed to solve the 2‐D nonlinear Klein–Gordon equation. We used the moving Kriging interpolation instead of the MLS approximation to construct the meshless local Petrov–Galerkin shape functions. These shape functions possess the Kronecker delta function property.
Ali Shokri, Ali Habibirad
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Nonlinear heat transfer analysis of spines using MLPG method
Engineering Analysis with Boundary Elements, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stress analysis in anisotropic functionally graded materials by the MLPG method
Engineering Analysis with Boundary Elements, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sladek, J., Sladek, V., Zhang, Ch.
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