A Localized Meshless Technique for Generating 3-D Wind Fields
A localized meshless method is used to simulate 3-D atmospheric wind fields for wind energy assessment and emergency response. The meshless (or mesh-free) method with radial basis functions (RBFs) alleviates the need to create a mesh required by finite ...
Darrell W. Pepper, Maria Ramos Gonzalez
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Solving the Generalized Rosenau-KdV Equation by the Meshless Kernel-Based Method of Lines
This current investigation consists of the numerical solutions of the Generalized Rosenau-KdV equation by using the meshless kernel-based method of lines, which is a truly meshless method.
Murat Arı +2 more
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Modeling elastic wave propagation in fluid-filled boreholes drilled in nonhomogeneous media: BEM – MLPG versus BEM-FEM coupling [PDF]
The efficiency of two coupling formulations, the boundary element method (BEM)-meshless local Petrov–Galerkin (MLPG) versus the BEM-finite element method (FEM), used to simulate the elastic wave propagation in fluid-filled boreholes generated by a blast ...
Antonio, J. +6 more
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The performance investigation of discontinuity definition techniques on numerical solution of crack problems by meshless method [PDF]
In recently, several studies have been conducted to use meshless methods according to their advantages to investigate fracture mechanical problems. The utilization of meshless methods in fracture mechanics because of using continuous shape functions ...
Zahra Sheikhi +3 more
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An Efficient Local Formulation for Time–Dependent PDEs
In this paper, a local meshless method (LMM) based on radial basis functions (RBFs) is utilized for the numerical solution of various types of PDEs. This local approach has flexibility with respect to geometry along with high order of convergence rate ...
Imtiaz Ahmad +4 more
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An efficient boundary-type meshless computational approach, namely, the virtual boundary meshless Galerkin method (VBMGM), as the partial differential equation on the weak term is shown for solving the axial compression on the part boundary of the ...
Jing Ling, Hongying Wang, Hongzhong Mou
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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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Meshless Solution of Incompressible Flow Over Backward-Facing Step
Article presents the use of the meshless method for numerical simulation of incompressible fluid flow. The article presents the implementation of the meshless local Petrov-Galerkin method (MLPG), with Navier-Stokes equation formulated using the local ...
Mužík Juraj
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The meshless Galerkin method for pressure distribution simulation of horizontal well reservoir
This paper provides a novel three-dimensional meshless Galerkin for horizontal well reservoir simulation. The pressure function is approached by moving least-square method which consists of weight function, basic function and coefficient.
Shuyong Hu +3 more
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Simulating backward wave propagation in metamaterial with radial basis functions
In this paper we revisit the radial basis function (RBF) meshless method and implement it to solve the time-dependent Maxwell's equations in metamaterials.
Jichun Li, Bing Nan
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