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 …
heuristic numerical method. It is truly meshless. Its concept and numerical implementation …
The use of equivalent source method in computational acoustics
S Lee - Journal of Computational Acoustics, 2017 - World Scientific
This paper reviews the equivalent source method (ESM), an attractive alternative to the
standard boundary element method (BEM). The ESM has been developed under different …
standard boundary element method (BEM). The ESM has been developed under different …
The method of fundamental solutions for elliptic boundary value problems
G Fairweather, A Karageorghis - Advances in computational mathematics, 1998 - Springer
The aim of this paper is to describe the development of the method of fundamental solutions
(MFS) and related methods over the last three decades. Several applications of MFS-type …
(MFS) and related methods over the last three decades. Several applications of MFS-type …
The method of fundamental solutions for scattering and radiation problems
G Fairweather, A Karageorghis, PA Martin - Engineering analysis with …, 2003 - Elsevier
The development of the method of fundamental solutions (MFS) and related methods for the
numerical solution of scattering and radiation problems in fluids and solids is described and …
numerical solution of scattering and radiation problems in fluids and solids is described and …
[HTML][HTML] Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials
L Marin - International Journal of Solids and Structures, 2005 - Elsevier
The application of the method of fundamental solutions to the Cauchy problem for steady-
state heat conduction in two-dimensional functionally graded materials (FGMs) is …
state heat conduction in two-dimensional functionally graded materials (FGMs) is …
The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations
In this paper, the application of the method of fundamental solutions to the Cauchy problem
associated with two-dimensional Helmholtz-type equations is investigated. The resulting …
associated with two-dimensional Helmholtz-type equations is investigated. The resulting …
Time-dependent fundamental solutions for homogeneous diffusion problems
This paper describes the applications of the method of fundamental solutions (MFS) for 1-, 2-
and 3-D diffusion equations. The time-dependent fundamental solutions for diffusion …
and 3-D diffusion equations. The time-dependent fundamental solutions for diffusion …
The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity
In this paper, the application of the method of fundamental solutions to the Cauchy problem
in two-dimensional isotropic linear elasticity is investigated. The resulting system of linear …
in two-dimensional isotropic linear elasticity is investigated. The resulting system of linear …
The method of fundamental solutions for inverse source problems associated with the steady‐state heat conduction
This paper presents the use of the method of fundamental solutions (MFS) for recovering the
heat source in steady‐state heat conduction problems from boundary temperature and heat …
heat source in steady‐state heat conduction problems from boundary temperature and heat …
The method of fundamental solutions for layered elastic materials
JR Berger, A Karageorghis - Engineering Analysis with Boundary Elements, 2001 - Elsevier
In this paper, we investigate the application of the method of fundamental solutions to two-
dimensional elasticity problems in isotropic and anisotropic single materials and bimaterials …
dimensional elasticity problems in isotropic and anisotropic single materials and bimaterials …