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

O Askour, S Mesmoudi, B Braikat - Engineering Analysis with Boundary …, 2020 - Elsevier
In this work, we propose a new high order algorithm based on the coupling of Radial Point
Interpolation Method (RPIM) and a high order continuation to solve the geometrically …

The interpolating element-free Galerkin method for three-dimensional elastoplasticity problems

Q Wu, FB Liu, YM Cheng - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In this paper, the interpolating element-free Galerkin (IEFG) method for solving the three-
dimensional (3D) elastoplasticity problems is presented. By using the improved interpolating …

The improved element-free Galerkin method for diffusional drug release problems

G Zheng, Y Cheng - International Journal of Applied Mechanics, 2020 - World Scientific
By using the improved moving least-square (IMLS) approximation to present the shape
function, the improved element-free Galerkin (IEFG) method is investigated to solve …

A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems

J Lin, S Reutskiy - Applied Mathematics and Computation, 2020 - Elsevier
In this work, a new cubic B-spline-based semi-analytical algorithm is presented for solving
3D anisotropic convection-diffusion-reaction (CDR) problems in the inhomogeneous …

The dimension coupling method for 3D steady convection-diffusion-reaction problems with variable coefficients

H Cheng, ZB Xing, LL Yao - Engineering Analysis with Boundary Elements, 2023 - Elsevier
In order to solve 3D convection-diffusion-reaction problems accurately and efficiently, we
study the dimension coupling method (DCM) by combining the finite element method (FEM) …

The Improved Element-Free Galerkin Method for 3D Steady Convection-Diffusion-Reaction Problems with Variable Coefficients

H Cheng, Z Xing, Y Liu - Mathematics, 2023 - mdpi.com
In order to obtain the numerical results of 3D convection-diffusion-reaction problems with
variable coefficients efficiently, we select the improved element-free Galerkin (IEFG) method …

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

S Mesmoudi, O Askour… - Comptes …, 2020 - comptes-rendus.academie-sciences …
In this work, we propose the investigation of unsteady nonlinear heat conduction by using
the radial point interpolation method (RPIM) in high-order continuation coupled with …

A local domain BEM for solving transient convection-diffusion-reaction problems

TV Gortsas, SV Tsinopoulos - International Journal of Heat and Mass …, 2022 - Elsevier
The convection-diffusion-reaction (CDR) equation has been extensively used to simulate a
variety of physical phenomena. A robust numerical method for solving linear CDR problems …

The characteristic RBF-FD method for the convection-diffusion-reaction equation on implicit surfaces

F Zhao, J Li, X Xiao, X Feng - Numerical Heat Transfer, Part A …, 2019 - Taylor & Francis
In this article, a characteristic radial basis function-generated finite differences method (RBF-
FD) is presented to numerically solve the convection-diffusion-reaction equation on implicit …

A novel radial basis function method for 3D linear and nonlinear advection diffusion reaction equations with variable coefficients

X Tian, J Lin - Engineering with Computers, 2022 - Springer
The radial basis function method for 3D advection diffusion reaction equations with variable
coefficients is presented. The proposed method implements the linear combination of radial …