Analysis of the Time Fractional 2-D Diffusion-Wave Equation via Moving Least Square (MLS) Approximation
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-016-0247-7
Abstract: In this paper, the time fractional two-dimensional diffusion-wave equation defined by Caputo sense for ($$1 read more here.
Keywords: approximation; moving least; time fractional; diffusion wave ... See more keywords
A divergence-free generalized moving least squares approximation with its application
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DOI: 10.1016/j.apnum.2020.12.017
Abstract: Abstract An approximation based on moving least squares for vector-valued functions satisfying the divergence-free property was employed in [67] by Trask, Maxey, and Hu. They changed the traditional polynomial bases in moving least squares approximation… read more here.
Keywords: least squares; divergence free; divergence; moving least ... See more keywords
Boundary Moving Least Square method for numerical evaluation of two-dimensional elastic membrane and plate dynamics problems
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DOI: 10.1016/j.enganabound.2019.08.002
Abstract: Abstract This paper discusses the Boundary Moving Least Square (BMLS) method for numerical implementation of various 2-D elasticity membrane and plate dynamics problems. The proposed technique is an amalgamation of boundary collocation meshless method and… read more here.
Keywords: moving least; plate dynamics; method; least square ... See more keywords
A shock-capturing meshless scheme using RBF blended interpolation and moving least squares
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DOI: 10.1016/j.enganabound.2019.08.019
Abstract: Abstract Solving the full Navier-Stokes equations requires the use of numerical methods, especially for engineering application involving complex geometry. Numerical methods commonly used today all require a mesh before a solution attempt. Developing the mesh… read more here.
Keywords: least squares; moving least; scheme; meshless ... See more keywords
Error analysis of the moving least-squares method with non-identical sampling
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2018.1469748
Abstract: ABSTRACT We derive the convergence rate of the moving least-squares learning algorithm for regression under the assumption that the samples are drawn from a non-identical sequence of probability measures. The error analysis is carried out… read more here.
Keywords: identical sampling; least squares; moving least; error analysis ... See more keywords
Error analysis of the moving least-squares regression learning algorithm with β-mixing and non-identical sampling
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DOI: 10.1080/00207160.2019.1636231
Abstract: We consider the regression learning based on the moving least-squares framework for the polynomially β-mixing samples. The rigorous error analysis is carried out by using the independent-blocks technique in the sample error estimates. We derive… read more here.
Keywords: error analysis; moving least; regression learning; least squares ... See more keywords
Simulations of coupled radiative and convective heat transfer in 2D and 3D semitransparent medium by the moving least square method
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DOI: 10.1080/10407790.2017.1338083
Abstract: ABSTRACT The aim of the paper is to use the moving least square meshless method to study the coupled problem between radiation and natural convection in semitransparent medium of 2D and 3D geometries. The flow… read more here.
Keywords: moving least; method; least square; transfer ... See more keywords
Comparison of meshfree displacement and stress error recovery of finite element solutions using moving least squares interpolation
Sign Up to like & getrecommendations! Published in 2022 at "Advances in Mechanical Engineering"
DOI: 10.1177/16878132221085435
Abstract: The moving least square (MLS) interpolation based the recovery procedures have been successfully applied to recover the finite element solution errors in the analysis of elastic plates and pipes problems and can be advantageously applied… read more here.
Keywords: stress; moving least; displacement stress; error ... See more keywords