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Meshless Local Petrov-Galerkin (MLPG) Method for Incompressible Viscous Fluid Flows

Volume 2: Fora, 2006
In this paper, the truly Meshless Local Petrov-Galerkin (MLPG) method is extended for computation of unsteady incompressible flows, governed by the Navier–Stokes equations (NSE), in vorticity-stream function formulation. The present method is a truly meshless method based only on a number of randomly located nodes.
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Heat Transfer Applications of Meshless Local Petrov-Galerkin (MLPG) Method during Plasma Spray

2007
In this work, a compact computational formulation is established based on the truly meshless method MLPG, and is firstly used to solve steady and transient heat conductions of the plasma spray. The unknown function of temperature distribution is approximated by moving least square approximation functions.
S. C. Wu   +3 more
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Meshless Local Petrov Galerkin (MLPG) Method with Orthogonal Polynomials for Euler-Bernoulli Beam Problems

AIAA Scitech 2019 Forum, 2019
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. The test functions used were power functions with smooth derivatives at their ends.
openaire   +1 more source

The Nonlinear Meshless Local Petrov-Galerkin (MLPG) Method from the Nonlinear Regular Local Boundary Integral Equation

International Journal for Computational Methods in Engineering Science and Mechanics, 2010
The meshless local Petrov-Galerkin approach based on a regular local boundary integral equation is successfully extended to solve nonlinear boundary value problems. The present method is truly meshless, as no mesh connectivity is needed for interpolating the solution variables and for integrating the weak form. Compared to the original MLPG method, the
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Analysis of Plates and Shells by Meshless Local Petrov-Galerkin (MLPG) Method

2006
An efficient meshless formulation based on the Local Petrov-Galerkin approach for analysis of plate and shell structures is presented. Using the kinematic of a three-dimensional continuum, the local symmetric weak form of the equilibrium equations over the cylindrical shaped local sub-domain is derived.
Jarak, Tomislav, Sorić, Jurica
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