State-of-the-art review on meshless methods in the application of crack problems

M Zhang, ARZ Abidin, CS Tan - Theoretical and Applied Fracture …, 2024 - Elsevier
Meshless or meshfree methods (MMs) are practical and excellent numerical techniques for
solving crack problems. With the inherent limitations of mesh-based methods such as the …

On the forward modelling of three-dimensional magnetotelluric data using a radial-basis-function-based mesh-free method

J Long, CG Farquharson - Geophysical Journal International, 2019 - academic.oup.com
The investigation of using a novel radial-basis-function-based mesh-free method for forward
modelling magnetotelluric data is presented. The mesh-free method, which can be termed …

Application of the Meshless Local Radial Point Interpolation Method on Vector Eigenvalue Problems

M Andrade, U Resende - IEEE Transactions on Magnetics, 2023 - ieeexplore.ieee.org
In this work, the meshless local radial point interpolation method (LRPIM) is applied to 2-D
and 3-D vector eigenvalue problems. The method is entirely nodal-based, and each node is …

An adaptive radial point interpolation meshless method for simulation of electromagnetic and optical fields

A Afsari, M Movahhedi - IEEE transactions on magnetics, 2014 - ieeexplore.ieee.org
This paper is going to handle an adaptive meshless method by which a wide range of
microwave problems in terms of frequency are numerically solved whose accuracy and …

A modified meshless local Petrov–Galerkin applied to electromagnetic axisymmetric problems

RD Soares, FJS Moreira, RC Mesquita… - IEEE Transactions …, 2014 - ieeexplore.ieee.org
A modified meshless local Petrov-Galerkin for an electromagnetic axisymmetric problem is
presented in this paper. The method uses the shape functions generated by the radial point …

Face-based gradient smoothing point interpolation method applied to 3-D electromagnetics

NZ Lima, RC Mesquita - IEEE transactions on magnetics, 2014 - ieeexplore.ieee.org
This paper presents the face-based gradient smoothing point interpolation method (FS-PIM),
a numerical method derived from the PIM that solves 3-D boundary value problems. FS-PIM …

[PDF][PDF] Graphical interface for electromagnetic problem solving using meshless methods

LA Ferreira, AR Fonseca, NZ Lima… - Journal of …, 2015 - researchgate.net
It is common to find a software with a graphical interface that uses the finite element method
or the finite difference method to solve electromagnetic problems. However, there are just …

A Multidimensional Reverse Interpolation Method and its Application in Solving the Multidimensional Fredholm Integral Equations

SM Mirzaei, M Amirfakhrian - International Journal of Applied and …, 2021 - Springer
In this paper, a new method called Reverse Interpolation Method for interpolating
multidimensional functions based on the Shepard type method will be presented. The …

[PDF][PDF] A Combined Meshless RBF-FDTD Method for the Analysis of Transient Electromagnetic Fields

R Khalef, L Benkhaoua, F Grine… - … journal of science …, 2016 - journals-jd.upm.edu.my
ABSTRACT A Meshless Time Domain Method is used in the local support domain to solve
Maxwell's equations for one-dimensional transient electromagnetic problems. The approach …

The reverse interpolation and its application in the numerical solutions of Fredholm integral equations of the second kind

SM Mirzaei, M Amirfakhrian - Computational and Applied Mathematics, 2019 - Springer
In this paper, we introduce a new interpolation method that is easy to use and its
interpolating function can be explicitly expressed. This interpolation method can be used for …