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The method of fundamental solutions for layered elastic materials
(2001)
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. A domain decomposition technique ...
On choosing the location of the sources in the MFS
(2016)
The satisfactory location for the sources outside the closure of the domain of the problem under consideration remains one of the major issues in the application of the method of fundamental solutions (MFS). In this work ...
Stress intensity factor computation using the method of fundamental solutions: Mixed-mode problems
(2007)
The method of fundamental solutions is applied to the computation of stress intensity factors in linear elastic fracture mechanics. The displacements are approximated by linear combinations of the fundamental solutions of ...
Matrix decomposition algorithms for elliptic boundary value problems: A survey
(2011)
We provide an overview of matrix decomposition algorithms (MDAs) for the solution of systems of linear equations arising when various discretization techniques are applied in the numerical solution of certain separable ...
The method of fundamental solutions for heat conduction in layered materials
(1999)
In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to two-dimensional problems of steady-state heat conduction in isotropic and anisotropic bimaterials. Two approaches are used: a ...
Galerkin formulations of themethod of fundamental solutions
(2013)
In this paper,we introduce two Galerkin formulations of the Method of Fundamental Solutions (MFS). In contrast to the collocation formulation of the MFS, the proposed Galerkin formulations involve the evaluation of integrals ...
A matrix decomposition MFS algorithm for axisymmetric biharmonic problems
(2005)
We consider the approximate solution of axisymmetric biharmonic problems using a boundary-type meshless method, the Method of Fundamental Solutions (MFS) with fixed singularities and boundary collocation. For such problems, ...
Efficient MFS algorithms for problems in thermoelasticity
(2013)
We propose efficient fast Fourier transform (FFT)-based algorithms using the method of fundamental solutions (MFS) for the numerical solution of certain problems in planar thermoelasticity. In particular, we consider ...
Stress intensity factor computation using the method of fundamental solutions
(2006)
In this paper, we study the application of the method of fundamental solutions to the computation of stress intensity factors in linear elastic fracture mechanics. The displacements are approximated by linear combinations ...
Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems
(2008)
In this work, we use conformal mapping to transform harmonic Dirichlet problems of Laplace's equation which are defined in simply-connected domains into harmonic Dirichlet problems that are defined in the unit disk. We ...