An overview of the method of fundamental solutions—Solvability, uniqueness, convergence, and stability

AHD Cheng, Y Hong - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In this paper we give an overview of the Method of Fundamental Solutions (MFS) as a
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …

[图书][B] Local and nonlocal micromechanics of heterogeneous materials

VA Buryachenko - 2022 - Springer
Materials that are either manufactured or occur in nature and used both in industry and in
our daily lives (metals, rocks, wood, soil, suspensions, and biological tissue) are very …

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 …

[HTML][HTML] A Comuputerized DRBEM model for generalized magneto-thermo-visco-elastic stress waves in functionally graded anisotropic thin film/substrate structures

MA Fahmy - Latin American Journal of solids and structures, 2014 - SciELO Brasil
A numerical computer model, based on the dual reciprocity boundary element method
(DRBEM) for studying the generalized magneto-thermo-visco-elastic stress waves in a …

A non-singular method of fundamental solutions for two-dimensional steady-state isotropic thermoelasticity problems

QG Liu, B Šarler - Engineering Analysis with Boundary Elements, 2017 - Elsevier
We consider a boundary meshless numerical solution for two-dimensional linear static
thermoelastic problems. The formulation of the problem is based on the approach of Marin …

Homotopy method of fundamental solutions for solving certain nonlinear partial differential equations

CC Tsai - Engineering analysis with boundary elements, 2012 - Elsevier
In this study, the homotopy analysis method (HAM) is combined with the method of
fundamental solutions (MFS) and the augmented polyharmonic spline (APS) to solve certain …

The MFS–MPS for two-dimensional steady-state thermoelasticity problems

L Marin, A Karageorghis - Engineering Analysis with Boundary Elements, 2013 - Elsevier
We consider the numerical approximation of the boundary and internal thermoelastic fields
in the case of two-dimensional isotropic linear thermoelastic solids by combining the method …

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 …