Radial point interpolation method and high-order continuation for solving nonlinear transient heat conduction problems

Said Mesmoudi; Omar Askour; Bouazza Braikat

doi:10.5802/crmeca.49

Radial point interpolation method and high-order continuation for solving nonlinear transient heat conduction problems

Comptes Rendus. Mécanique ◽

10.5802/crmeca.49 ◽

2020 ◽

Vol 348 (8-9) ◽

pp. 745-758

Author(s):

Said Mesmoudi ◽

Omar Askour ◽

Bouazza Braikat

Keyword(s):

Heat Conduction ◽

Interpolation Method ◽

Transient Heat Conduction ◽

High Order ◽

Radial Point Interpolation Method ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Nonlinear Transient ◽

Point Interpolation

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Nonlinear transient heat conduction analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point interpolation method

Applied Mathematical Modelling ◽

10.1016/j.apm.2011.02.039 ◽

2011 ◽

Vol 35 (9) ◽

pp. 4157-4174 ◽

Cited By ~ 59

Author(s):

A. Khosravifard ◽

M.R. Hematiyan ◽

L. Marin

Keyword(s):

Heat Conduction ◽

Interpolation Method ◽

Transient Heat Conduction ◽

Functionally Graded ◽

Heat Sources ◽

Graded Materials ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Nonlinear Transient ◽

Point Interpolation

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An improved local radial point interpolation method for transient heat conduction analysis

Chinese Physics B ◽

10.1088/1674-1056/22/6/060206 ◽

2013 ◽

Vol 22 (6) ◽

pp. 060206 ◽

Cited By ~ 3

Author(s):

Feng Wang ◽

Gao Lin ◽

Bao-Jing Zheng ◽

Zhi-Qiang Hu

Keyword(s):

Heat Conduction ◽

Interpolation Method ◽

Transient Heat Conduction ◽

Radial Point Interpolation Method ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Point Interpolation

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On the use of Radial Point Interpolation Method (RPIM) in a high order continuation for the resolution of the geometrically nonlinear elasticity problems

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2019.09.015 ◽

2020 ◽

Vol 110 ◽

pp. 69-79 ◽

Cited By ~ 3

Author(s):

Omar Askour ◽

Said Mesmoudi ◽

Bouazza Braikat

Keyword(s):

Nonlinear Elasticity ◽

Interpolation Method ◽

High Order ◽

Geometrically Nonlinear ◽

Radial Point Interpolation Method ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Elasticity Problems ◽

Point Interpolation

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The numerical analysis of symmetric cross-ply laminates using the natural neighbour radial point interpolation method and high-order shear deformation theories

Engineering Structures ◽

10.1016/j.engstruct.2020.111247 ◽

2020 ◽

Vol 225 ◽

pp. 111247

Author(s):

D.E.S. Rodrigues ◽

J. Belinha ◽

L.M.J.S. Dinis ◽

R.M. Natal Jorge

Keyword(s):

Numerical Analysis ◽

Shear Deformation ◽

Interpolation Method ◽

High Order ◽

Radial Point Interpolation Method ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Point Interpolation ◽

Shear Deformation Theories

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High-order absorbing boundary conditions for the meshless radial point interpolation method in the frequency domain

International Journal of Numerical Modelling Electronic Networks Devices and Fields ◽

10.1002/jnm.1882 ◽

2013 ◽

Vol 26 (5) ◽

pp. 478-492 ◽

Cited By ~ 4

Author(s):

Thomas Kaufmann ◽

Christian Engström

Keyword(s):

Boundary Conditions ◽

Frequency Domain ◽

Interpolation Method ◽

Absorbing Boundary Conditions ◽

High Order ◽

Absorbing Boundary ◽

Radial Point Interpolation Method ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Point Interpolation

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The bending behaviour of antisymmetric cross-ply laminates using high-order shear deformation theories and a Radial Point Interpolation Method

Structures ◽

10.1016/j.istruc.2021.03.048 ◽

2021 ◽

Vol 32 ◽

pp. 1589-1603

Author(s):

D.E.S. Rodrigues ◽

J. Belinha ◽

L.M.J.S. Dinis ◽

R.M. Natal Jorge

Keyword(s):

Shear Deformation ◽

Interpolation Method ◽

High Order ◽

Radial Point Interpolation Method ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Point Interpolation ◽

Shear Deformation Theories ◽

Bending Behaviour

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Numerical simulation of metal removal in laser drilling using radial point interpolation method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2017.01.010 ◽

2017 ◽

Vol 77 ◽

pp. 89-96 ◽

Cited By ~ 10

Author(s):

Diaa Abidou ◽

Nukman Yusoff ◽

Nik Nazri ◽

M.A. Omar Awang ◽

Mohsen A. Hassan ◽

...

Keyword(s):

Numerical Simulation ◽

Metal Removal ◽

Interpolation Method ◽

Laser Drilling ◽

Radial Point Interpolation Method ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Point Interpolation

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Geometric nonlinear analysis of plates and cylindrical shells via a linearly conforming radial point interpolation method

Computational Mechanics ◽

10.1007/s00466-008-0242-x ◽

2008 ◽

Vol 42 (1) ◽

pp. 133-144 ◽

Cited By ~ 26

Author(s):

X. Zhao ◽

G. R. Liu ◽

K. Y. Dai ◽

Z. H. Zhong ◽

G. Y. Li ◽

...

Keyword(s):

Nonlinear Analysis ◽

Interpolation Method ◽

Cylindrical Shells ◽

Radial Point Interpolation Method ◽

Geometric Nonlinear ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Point Interpolation ◽

Geometric Nonlinear Analysis

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An Unconditionally Stable Radial Point Interpolation Method Based on Crank–Nicolson Scheme

IEEE Antennas and Wireless Propagation Letters ◽

10.1109/lawp.2016.2580611 ◽

2017 ◽

Vol 16 ◽

pp. 393-395 ◽

Cited By ~ 5

Author(s):

Hui Zhu ◽

Cheng Gao ◽

Hailin Chen

Keyword(s):

Interpolation Method ◽

Unconditionally Stable ◽

Radial Point Interpolation Method ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Point Interpolation ◽

Nicolson Scheme ◽

Crank Nicolson

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Mesh-free radial point interpolation method for the buckling analysis of Mindlin plates subjected to in-plane point loads

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1027 ◽

2004 ◽

Vol 60 (11) ◽

pp. 1861-1877 ◽

Cited By ~ 46

Author(s):

K. M. Liew ◽

X. L. Chen

Keyword(s):

Interpolation Method ◽

Buckling Analysis ◽

Radial Point Interpolation Method ◽

Mesh Free ◽

Radial Point Interpolation ◽

Point Interpolation Method ◽

Point Interpolation ◽

Plane Point

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