Results 141 to 150 of about 316 (171)

GMRES Solver for MLPG Method Applied to Heat Conduction

Volume 11: Heat Transfer and Thermal Engineering, 2020
Abstract In recent years, meshless local Petrov-Galerkin (MLPG) method has emerged as the promising choice for solving variety of scientific and engineering problems. MLPG formulation leads to a non-symmetric system of algebraic equations.
Abhishek Kumar Singh, Krishna Singh
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A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics

Computational Mechanics, 1998
A local symmetric weak form (LSWF) for linear potential problems is developed, and a truly meshless method, based on the LSWF and the moving least squares approximation, is presented for solving potential problems with high accuracy. The essential boundary conditions in the present formulation are imposed by a penalty method.
Atluri, S. N., Zhu, T.
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Efficient cubature formulae for MLPG and related methods

International Journal for Numerical Methods in Engineering, 2005
AbstractThe paper introduces four kinds of compact, simple to implement Gaussian cubature formulae for approximating the domain integrals arising in the discrete local weak form (DLWF) of a governing partial differential equation solved by means of the meshless local Petrov–Galerkin method of type MLPG1.
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A moving Kriging‐based MLPG method for nonlinear Klein–Gordon equation

Mathematical Methods in the Applied Sciences, 2016
In this paper, the meshless local Petrov–Galerkin approximation is proposed to solve the 2‐D nonlinear Klein–Gordon equation. We used the moving Kriging interpolation instead of the MLS approximation to construct the meshless local Petrov–Galerkin shape functions. These shape functions possess the Kronecker delta function property.
Ali Shokri, Ali Habibirad
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Analysis of electrostatic MEMS using meshless local Petrov–Galerkin (MLPG) method

Engineering Analysis with Boundary Elements, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Batra, Romesh C., Porfiri, Maurizio, Spinello, Davide   +2 more
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The MLPG in gradient theory for size-dependent magnetoelectroelasticity

Computer Methods in Material Science, 2017
The strain gradient magnetoelectroelasticity is applied to solve two-dimensional boundary value problems. The electric and magnetic field-strain gradient coupling is considered in constitutive equations. The meshless local Petrov-Galerkin (MLPG) is developed to solve general problems.
Jan Sladek, Vladimir Sladek, Slavomir Hrcek   +2 more
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Mješovita MLPG formulacija za analizu ljuskastih konstrukcija

2008
Predložen je novi bezmrežni numerički postupak za analizu ljuskastih konstrukcija koji se temelji na mješovitoj MLPG (Meshless Local Petrov-Galerkin) metodi, gdje su uz polje pomaka neovisno aproksimirane i određene komponente tenzora deformacija i naprezanja.
Sorić, Jurica, Hoster, Josip, Jarak, Tomislav   +2 more
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Analysis of an MLPG Solution for 3D Potential Problems

2008
Meshless methods have been explored in many 2D problems and they have been shown to be as accurate as Finite ElementMethods (FEM). Compared to the vast literature on 2D applications, papers on solving 3D problems by meshless methods are surprisingly few. Indeed, a main drawback of these methods is the requirement for accurate cubature rules. This paper
MAZZIA, ANNAMARIA, PINI, GIORGIO, SARTORETTO, FLAVIO   +2 more
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On an efficient MLPG formulation for shell analysis

2010
A meshless formulation based on the local Petrov- Galerkin approach is developed for analysis of shell structures. A 3-D solid concept usually used in the finite element formulations is adopted, and the exact shell geometry may be described. The shell continuum is discretized in the parametric space defined in the normalized coordinates by the nodes ...
Sorić, Jurica, Jarak, Tomislav
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Numerička analiza ljuskastih konstrukcija pomoću bezmrežne MLPG metode

2010
Prikazan je solid-shell MLPG koncept za analizu ljuskastih konstrukcija. Izvedeni su modeli temeljeni na metodi pomaka kao i mješoviti algoritmi. Ljuskasti kontinuum je parametriziran, a diskretizacija je provedena u parametarskom prostoru pomoću čvorova koji se nalaze na gornjoj i donjoj plohi ljuske.
Jarak, Tomislav, Sorić, Jurica
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