Numerical simulation of metal removal in laser drilling using meshless local Petrov–Galerkin collocation method
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.08.032
Abstract: Abstract A simplified 2D axisymmetric meshfree model of transient metal laser drilling is proposed for a continuous laser beam of Gaussian distribution. The penetration depth is predicted over the whole ablation time. The meshless local… read more here.
Keywords: laser drilling; petrov galerkin; meshless local; metal ... See more keywords
Anisotropic transient thermoelasticity analysis in a two-dimensional decagonal quasicrystal using meshless local Petrov–Galerkin (MLPG) method
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DOI: 10.1016/j.apm.2018.09.024
Abstract: Abstract The meshless local Petrov–Galerkin (MLPG) method is employed for anisotropic transient thermoelasticity analysis of 2D decagonal quasicrystals (QCs) subjected to transient thermal and mechanical shock loadings. The wave type model and the elasto-hydrodynamic model… read more here.
Keywords: mlpg method; method; local petrov; petrov galerkin ... See more keywords
An adaptive meshless local Petrov–Galerkin method based on a posteriori error estimation for the boundary layer problems
Sign Up to like & getrecommendations! Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2016.09.007
Abstract: Abstract A new adaptive moving least squares (MLS) method with variable radius of influence is presented to improve the accuracy of Meshless Local Petrov–Galerkin (MLPG) methods and to minimize the computational cost for the numerical… read more here.
Keywords: petrov galerkin; method; meshless local; based posteriori ... See more keywords
Quasi-static analysis of mixed-mode crack propagation using the meshless local Petrov–Galerkin method
Sign Up to like & getrecommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2019.05.030
Abstract: Abstract The efficiency of classical truly meshless local Petrov–Galerkin method with linear test function approximation in the crack growth problems of complex configurations is investigated in this article. Several unique and multiple (two) cracks are… read more here.
Keywords: method; local petrov; petrov galerkin; meshless local ... See more keywords
A Meshless Local Radial Point Collocation Method for Simulating the Time-Fractional Convection-Diffusion Equations on Surfaces
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DOI: 10.1142/s0219876221500067
Abstract: The time-fractional problem is a class of important models to represent the real world. It is an open problem to study how the fractional operator acts on the surface. In this work, we present and… read more here.
Keywords: time; radial point; local radial; meshless local ... See more keywords