Localized boundary-domain integral formulations for problems with variable coefficients [PDF]
Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
Mikhailov, SE
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Adaptive meshless centres and RBF stencils for Poisson equation [PDF]
We consider adaptive meshless discretisation of the Dirichlet problem for Poisson equation based on numerical differentiation stencils obtained with the help of radial basis functions. New meshless stencil selection and adaptive refinement algorithms are
Oleg Davydov +3 more
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Local Simulations of MRI turbulence with Meshless Methods [PDF]
Abstract The magneto-rotational instability (MRI) is one of the most important processes in sufficiently ionized astrophysical disks. Grid-based simulations, especially those using the local shearing box approximation, provide a powerful tool to study the nonlinear turbulence the MRI produces.
Deng, Hongping +4 more
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In this article we propose a hybrid method based on a local meshless method and the Laplace transform for approximating the solution of linear one dimensional partial differential equations in the sense of the Caputo–Fabrizio fractional derivative.
Raheel Kamal +5 more
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MODELING AND SIMULATION OF THERMOMECHANICAL STRESSES AND RESIDUAL STRESSES IN RESISTANCE SPOT WELDING BETWEEN TWO SHEETS OF MLPG METHOD [PDF]
In current years, some attempts have been done to eliminate the grid of numerical solving processes. These attempts were created the groups of calculation methods which are known as meshless methods. MLPG methods are one of the efficient meshless methods
R. Vahdati, M. OzvAminian
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RBF-Based Local Meshless Method for Fractional Diffusion Equations
The fractional diffusion equation is one of the important recent models that can efficiently characterize various complex diffusion processes, such as in inhomogeneous or heterogeneous media or in porous media.
Kamran +5 more
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A meshless-based local reanalysis method for structural analysis [PDF]
This study presents a meshless-based local reanalysis (MLR) method. The purpose of this study is to extend reanalysis methods to the Kriging interpolation meshless method due to its high efficiency. In this study, two reanalysis methods: combined approximations CA) and indirect factorization updating (IFU) methods are utilized.
Zhenxing Cheng +3 more
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Transient thermal analysis of functionally graded shallow shells by the MLPG [PDF]
A meshless local Petrov-Galerkin (MLPG) method is applied to solve problems of Reissner-Mindlin shells under a transient thermal load. Functionally graded materials with a continuous variation of properties in the shell thickness direction are considered
Jan Sladek, Vladimir Sladek, Peter Solek
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Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem [PDF]
An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed.
Mikhailov, SE, Nakhova, IS
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The Optimal Transportation Method in Solid Mechanics [PDF]
This dissertation is concerned with the development of a robust and efficient meshless method, the Optimal Transportation Method (OTM), for general solid flows involving extremely large deformation, fast, transient loading and hydrodynamic phenomena ...
Li, Bo
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