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1. Numerical Methods (Meshless

Investigation of Numerical Stability of Electromagnetic Wave Propagation Simulation using Meshless Time-Domain Method

Investigation of Numerical Stability of Electromagnetic Wave Propagation Simulation using Meshless Time-Domain Method

... of meshless methods such as the element-free Galerkin method [1], the mesh- less local Petrov-Galerkin method [2] and the meshless radial point interpolation method (RPIM) [3] have been ...

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Adaptive meshless centres and RBF stencils for Poisson equation

Adaptive meshless centres and RBF stencils for Poisson equation

... form meshless methods the stencil supports (the sets of centres with nonzero entries of the stiffness matrix in a given row) are determined by the domains of influence of the ...difference methods ...

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Numerical Simulation of 1D Linear Telegraph Equation With Variable Coefficients Using Meshless Local Radial Point Interpolation (‎MLRPI)

Numerical Simulation of 1D Linear Telegraph Equation With Variable Coefficients Using Meshless Local Radial Point Interpolation (‎MLRPI)

... a numerical integration process using a set of quadrature domain that may be constructed glob- ally or locally in the domain of the ...form methods, global back- ground cells are needed for numerical ...

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A MESHLESS (EFG) APPROACH FOR LINEAR ELASTICITY AND NUMERICAL COMPARISON WITH THE FINITE ELEMENT METHOD.

A MESHLESS (EFG) APPROACH FOR LINEAR ELASTICITY AND NUMERICAL COMPARISON WITH THE FINITE ELEMENT METHOD.

... mesh-free methods, which are also referred to in the literature as meshless, element-free, gridless or cloud methods (see [3, 4] for an ...the meshless methods based on Moving Least ...

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Comparative Study of the Effect of the Parameters of Sizing Data on Results by the Meshless Methods (MLPG)

Comparative Study of the Effect of the Parameters of Sizing Data on Results by the Meshless Methods (MLPG)

... Recently Meshless formulations are becoming popular due to their higher adaptivity and lower cost for pre- paring input data in the numerical ...of meshless methods has been proposed so far ...

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A Collocation Method with Modified Equilibrium on Line Method for Imposition of Neumann and Robin Boundary Conditions in Acoustics (TECHNICAL NOTE)

A Collocation Method with Modified Equilibrium on Line Method for Imposition of Neumann and Robin Boundary Conditions in Acoustics (TECHNICAL NOTE)

... Therefore, numerical techniques such as finite element and boundary element methods are widely used in these ...years, meshless methods have been developed and used to solve partial ...

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Development of parallel meshless methods for moving geometry simulations

Development of parallel meshless methods for moving geometry simulations

... improvements: 1) It used an auxiliary background mesh of regular cells in order to create a structure to define the quadrature points, thus allowing for the numerical integration to be ...element ...

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1.
													Development of  meshless method  boundary  conditions  for high  speed  flows

1. Development of meshless method boundary conditions for high speed flows

... In meshless method, the nearest neighbours constitute the point cloud whereas in unstructured mesh, two successive points of computation need not be adjacent ...edge-based meshless method described in ...

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Application of Meshless Methods for Solving an Inverse Heat Conduction Problem

Application of Meshless Methods for Solving an Inverse Heat Conduction Problem

... 0%, 1%, 3%, 5%). From these Tables and these Figures, the numerical results are quite ...= 1%). It can be seen from this Table that numerical results are not only stable with respect to ...

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A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension

A meshless IRBFN-based numerical simulation of adiabatic shear band formation in one dimension

... in a parametric study to cover a range of possible behaviours. However, it could be costly to resolve shear bands fully in a large scale computation since the morphology of a shear band exhibits very fine transverse ...

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Adopting the Multiresolution Wavelet Analysis in Radial Basis Functions to Solve the Perona-Malik Equation

Adopting the Multiresolution Wavelet Analysis in Radial Basis Functions to Solve the Perona-Malik Equation

... other meshless methods, RBF have been frequently used for the numerical solution of PDEs and their extensive use in numerical analysis prompted us to investigate the possibility of their ...

8

Elastic Perfectly Plastic Behavior modeling  by a Meshless Method

Elastic Perfectly Plastic Behavior modeling by a Meshless Method

... Abstract— Meshless methods are computational techniques that do not require the use of any connectivity concept, such as those used in the finite element method ...used. Numerical example is given to ...

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A note on the use of the Companion Solution (Dirichlet Green's function) on meshless boundary element methods

A note on the use of the Companion Solution (Dirichlet Green's function) on meshless boundary element methods

... a meshless BEM, being a circular shape the most popular one (sphere in ...of meshless BEMs), in the case of a circular integration subregion with a single evaluation point at the centre of the circle, a ...

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Quadratic spline solution of Calculus of Variation Problems

Quadratic spline solution of Calculus of Variation Problems

... the numerical methods are ...to numerical methods to get the solution of the differential ...equations. Numerical methods with spline functions in getting the numerical ...

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Numerical approximation of the fractional HIV model using the meshless local Petrov–Galerkin method

Numerical approximation of the fractional HIV model using the meshless local Petrov–Galerkin method

... The meshless local Petrov–Galerkin (MLPG) method is a fundamental base for the derivation of many meshless formulations since the trial and test functions can be cho- sen from different functional ...truly ...

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Modified SFDI for fully nonlinear wave simulation

Modified SFDI for fully nonlinear wave simulation

... It should be pointed out that, provided sufficiently fine particle or mesh resolution, both sinusoidal function and the exponential function can be well approximated by using polynomials. However, one may agree that the ...

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Multi-Physics and Multi-Scale Meshless Simulation System for Direct-Chill Casting of Aluminium Alloys

Multi-Physics and Multi-Scale Meshless Simulation System for Direct-Chill Casting of Aluminium Alloys

... Direct-chill casting (DCC) (see Fig. 1) represents the most important process for production of aluminium alloys [ 1 ]. The process involves molten metal being fed vertically through a bottomless, ...

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Numerical Methods for Advection Problem

Numerical Methods for Advection Problem

... A PDE in itself does not have a pure solution, because in general it is difficult to find a solution u to it in a unique way with no limit condition [1–3, 5, 8, 11]. After modeling a physical problem (a visible ...

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Adaptive numerical methods for PDEs

Adaptive numerical methods for PDEs

... to numerical methods for PDEs, (ii) a discussion of known regularity theorems for PDEs in the two scales of smoothness spaces relating to linear and nonlinear methods, (iii) the introduction and ...

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Computational Simulation of Studying Zika Virus: from Macroscale to Nanoscale

Computational Simulation of Studying Zika Virus: from Macroscale to Nanoscale

... The first human illness case caused by Zika virus was reported in Nigeria in 1953 [4], and then next big outbreak happened in the State of Yap, Federated States of Micronesia with the number of infected persons up to ...

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