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 …
[HTML][HTML] The generalized finite difference method for long-time transient heat conduction in 3D anisotropic composite materials
In this paper we investigate the application of the generalized finite difference method
(GFDM) to three-dimensional (3D) transient heat conduction in anisotropic composite …
(GFDM) to three-dimensional (3D) transient heat conduction in anisotropic composite …
[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 …
Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions
B Šarler - Engineering Analysis with Boundary Elements, 2009 - Elsevier
This paper describes an application of the recently proposed modified method of
fundamental solutions (MMFS) to potential flow problems. The solution in two-dimensional …
fundamental solutions (MMFS) to potential flow problems. The solution in two-dimensional …
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 …
Application of the method of fundamental solutions to potential-based inverse electrocardiography
Y Wang, Y Rudy - Annals of biomedical engineering, 2006 - Springer
Potential-based inverse electrocardiography is a method for the noninvasive computation of
epicardial potentials from measured body surface electrocardiographic data. From the …
epicardial potentials from measured body surface electrocardiographic data. From the …
A localized collocation scheme with fundamental solutions for long-time anomalous heat conduction analysis in functionally graded materials
This paper makes the first attempt to develop a novel localized collocation scheme based on
fundamental solutions for long-time anomalous heat conduction analysis in functionally …
fundamental solutions for long-time anomalous heat conduction analysis in functionally …
A new boundary meshfree method with distributed sources
YJ Liu - Engineering Analysis with Boundary Elements, 2010 - Elsevier
A new boundary meshfree method, to be called the boundary distributed source (BDS)
method, is presented in this paper that is truly meshfree and easy to implement. The method …
method, is presented in this paper that is truly meshfree and easy to implement. The method …
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 …
Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code
In this paper we investigate the application of the localized method of fundamental solutions
(LMFS) for solving three-dimensional inhomogeneous elliptic boundary value problems. A …
(LMFS) for solving three-dimensional inhomogeneous elliptic boundary value problems. A …