Hybrid fundamental solution based finite element method: theory and applications

C Cao, QH Qin - Advances in Mathematical Physics, 2015 - Wiley Online Library
An overview on the development of hybrid fundamental solution based finite element
method (HFS‐FEM) and its application in engineering problems is presented in this paper …

The meshless method of fundamental solutions applied to couple stress problems

AR El-metwaly, MA Kamal, YF Rashed, HN Zaky… - … Analysis with Boundary …, 2023 - Elsevier
In this paper, the meshless method of fundamental solutions is developed to solve couple
stress problems even with the existence of body forces. Suitable new particular solutions are …

Time-differencing fundamental solutions for plane elastodynamics

AF Farid, YF Rashed - Journal of Engineering Mechanics, 2022 - ascelibrary.org
In this paper, new fundamental solutions for dynamic analysis of plane elastodynamics are
developed. The governing dynamic differential equations are rewritten by replacing the …

Some remarks on the method of fundamental solutions for two-dimensional elasticity

MR Hematiyan, M Arezou, NK Dezfouli… - … in Engineering & …, 2019 - ingentaconnect.com
In this paper, some remarks for more efficient analysis of two-dimensional elastostatic
problems using the method of fundamental solutions are made. First, the effects of the …

Two-dimensional elastodynamic and free vibration analysis by the method of fundamental solutions

M Khoshroo, MR Hematiyan, Y Daneshbod - Engineering analysis with …, 2020 - Elsevier
In this paper we will present a formulation for solving elastodynamic problems in 2D using
the method of fundamental solutions (MFS). The governing equation for the displacement in …

The method of fundamental solutions with dual reciprocity for three‐dimensional thermoelasticity under arbitrary body forces

CC Tsai - Engineering Computations, 2009 - emerald.com
Purpose–The purpose of this paper is to develop a meshless numerical method for three‐
dimensional isotropic thermoelastic problems with arbitrary body forces …

A new hybrid finite element approach for three-dimensional elastic problems

C Cao, QH Qin, A Yu - Archives of Mechanics, 2012 - am.ippt.pan.pl
A new fundamental solution based finite element method (HFS-FEM) is presented for
analyzing three-dimensional (3D) elastic problems with body forces in this paper. It begins …

Method of fundamental solutions for 3D elasticity with body forces by coupling compactly supported radial basis functions

CY Lee, H Wang, QH Qin - Engineering Analysis with Boundary Elements, 2015 - Elsevier
In this paper, a meshless computational model by integrating the method of fundamental
solutions (MFS) and the method of particular solutions fulfilled with compactly supported …

Fundamental solutions and Cayley-Hamilton formula

MA Kamal, YF Rashed, JT Katsikadelis… - Engineering Analysis with …, 2024 - Elsevier
In this paper, a new technique to obtain a fundamental solution is developed. The well-
known Cayley-Hamilton theorem in linear algebra is adopted to obtain the inverse of the …

A multilayer method of fundamental solutions for Stokes flow problems

F Boselli, D Obrist, L Kleiser - Journal of Computational Physics, 2012 - Elsevier
The method of fundamental solutions (MFS) is a meshless method for the solution of
boundary value problems and has recently been proposed as a simple and efficient method …