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Meshless Local Petrov-Galerkin (MLPG) Method with Orthogonal Polynomials for Euler-Bernoulli Beam Problems [PDF]

open access: yes
In this paper, the feasibility of orthogonal polynomials in the meshless local Petrov Galerkin method (MLPG) method is studied. The orthogonal polynomials, Chebyshev and Legendre polynomials, are used in this MLPG method as trial functions.
Raju, Ivatury S.
core   +1 more source

A Meshless Radial Point Interpolation Method for Solving Fractional Navier–Stokes Equations

open access: yesAxioms
This paper aims to develop a meshless radial point interpolation (RPI) method for obtaining the numerical solution of fractional Navier–Stokes equations. The proposed RPI method discretizes differential equations into highly nonlinear algebraic equations,
Arman Dabiri   +3 more
doaj   +1 more source

Kinetic Meshless Method

open access: yes, 2003
We propose a new method called the Kinetic Meshless Method (KMM), for the solution of time-dependent conservation laws that can be derived from a Boltzmann-type equation by taking suitable moments. An important characteristic of this method is its grid-free nature; it is able to use any type of grid or combination of grids, or even some distribution of
Chandrashekar, Praveen, Deshpande, SM
openaire   +1 more source

Numerical Simulation of Elastic Wave in Frequency Domain Based on Generalized Finite Difference Method With a Multiaxial Convolutional Perfectly Matched Layer Boundary

open access: yesIEEE Access
The meshless generalized finite difference method (GFDM) was used to simulate elastic wave propagation in the frequency domain. Dispersion analysis and numerical experiments were conducted to evaluate its performance.
Siqin Liu   +3 more
doaj   +1 more source

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