Meshless hybrid implicit‐explicit radial point interpolation method in scattering of dielectric particles by light beam with orbital angular momentum
Sign Up to like & getrecommendations! Published in 2020 at "Microwave and Optical Technology Letters"
DOI: 10.1002/mop.32351
Abstract: This letter proposes a meshless hybrid implicit‐explicit radial point interpolation method (HIE‐RPIM) to simulate the scattering of the Laguerre‐Gaussian beam with orbital angular momentum (OAM) by dielectric particles. The results are verified by comparison with… read more here.
Keywords: interpolation method; radial point; point interpolation;
Capillary formation in tumor angiogenesis through meshless weak and strong local radial point interpolation
Sign Up to like & getrecommendations! Published in 2017 at "Engineering with Computers"
DOI: 10.1007/s00366-017-0561-7
Abstract: This article is devoted to showing the efficiency and accuracy of two numerical procedures for the numerical solution of the capillary formation in tumor angiogenesis. A meshless local radial point interpolation (MLRPI) scheme based on… read more here.
Keywords: meshless; point interpolation; capillary formation; radial point ... See more keywords
New insight into meshless radial point Hermite interpolation through direct and inverse 2-D reaction–diffusion equation
Sign Up to like & getrecommendations! Published in 2020 at "Engineering with Computers"
DOI: 10.1007/s00366-020-01020-z
Abstract: In this paper, we propose an effective method to solve partial differential equations dependent on time with Neumann boundary condition, by examining its effectivity on direct and inverse reaction–diffusion equation. This method merges the radial… read more here.
Keywords: diffusion; radial point; inverse reaction; direct inverse ... See more keywords
The numerical simulation of crack propagation using radial point interpolation meshless methods
Sign Up to like & getrecommendations! Published in 2019 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2019.10.001
Abstract: Abstract In this work, a new crack propagation prediction algorithm is combined with two distinct meshless methods – the Radial Point Interpolation Method (RPIM) and the Natural Neighbor Radial Point Interpolation Method (NNRPIM). Both these… read more here.
Keywords: crack propagation; point interpolation; crack; radial point ... See more keywords
Pseudospectral meshless radial point interpolation for generalized biharmonic equation subject to simply supported and clamped boundary conditions
Sign Up to like & getrecommendations! Published in 2021 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2021.01.004
Abstract: Abstract In this study, we develop an approximate formulation for a generalized form of the biharmonic problem based on pseudospectral meshless radial point interpolation (PSMRPI). The boundary conditions are considered as simply supported or clamped,… read more here.
Keywords: radial point; meshless radial; problem; pseudospectral meshless ... See more keywords
Lateral-torsional buckling of arches under an arbitrary radial point load in a thermal environment incorporating shear deformations
Sign Up to like & getrecommendations! Published in 2019 at "Engineering Structures"
DOI: 10.1016/j.engstruct.2018.10.071
Abstract: Abstract This paper presents an analytical investigation of the thermoelastic lateral-torsional buckling of circular arches under an arbitrary radial point load in a uniform thermal environment accounting for shear deformations, which has not been reported… read more here.
Keywords: radial point; torsional buckling; lateral torsional; shear deformations ... See more keywords
Meshfree radial point collocation-based coupled flow and transport model for simulation of multispecies linked first order reactions.
Sign Up to like & getrecommendations! Published in 2019 at "Journal of contaminant hydrology"
DOI: 10.1016/j.jconhyd.2019.103582
Abstract: Mesh/grid-based methods such as the Finite element method (FEM) and Finite difference method (FDM) are extensively used for simulation of contaminant species transport in groundwater. However, these methods in their standard form are susceptible to… read more here.
Keywords: order reactions; first order; radial point; point collocation ... See more keywords
Experimental investigation of out-of-plane buckling of circular arches under a central radial point load
Sign Up to like & getrecommendations! Published in 2020 at "Thin-walled Structures"
DOI: 10.1016/j.tws.2019.106198
Abstract: Abstract An arch under a central in-plane point load may lose its stability in an out-of-plane buckling mode when the load attends a certain value. This paper presents a theoretical study for the out-of-plane buckling… read more here.
Keywords: plane; radial point; plane buckling; point load ... See more keywords
Predicting Dynamic Behavior of Rotating Mindlin Plate Using Radial Point Interpolation Method
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Structural Stability and Dynamics"
DOI: 10.1142/s0219455419500706
Abstract: This paper proposes the radial point interpolation method (RPIM) for studying the dynamic behaviors of rotating Mindlin plates. By considering nonlinear coupling deformation, that is, the in-plane longitudinal shortening terms caused by transverse deformation, the… read more here.
Keywords: point interpolation; rotating mindlin; interpolation method; radial point ... See more keywords
A Meshless Local Radial Point Collocation Method for Simulating the Time-Fractional Convection-Diffusion Equations on Surfaces
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Computational Methods"
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