Browsing by Subject "Boundary element method"
Now showing items 113 of 13

Article
Finite element methods for a singularly perturbed transmission problem
(2009)We consider a onedimensional singularly perturbed transmission problem with two different diffusion coefficients. The solution will contain boundary layers only in the part of the domain where the diffusion coefficient ...

Article
A matrix decomposition MFS algorithm for biharmonic problems in annular domains
(2004)The Method of Fundamental Solutions (MFS) is a boundarytype method for the solution of certain elliptic boundary value problems. In this work, we develop an efficient matrix decomposition MFS algorithm for the solution ...

Article
The method of fundamental solutions for axisymmetric acoustic scattering and radiation problems
(1998)The method of fundamental solutions (MFS) is applied to acoustic scattering and radiation for axisymmetric bodies and boundary conditions. The fundamental solution of the governing equation and its normal derivative, which ...

Conference Object
The method of fundamental solutions for inverse obstacle acoustic scattering
(2010)In this paper we propose a simple method for detecting (shape, size and location) a scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered acoustic pressure in the vicinity (nearor ...

Article
The method of fundamental solutions for layered elastic materials
(2001)In this paper, we investigate the application of the method of fundamental solutions to twodimensional elasticity problems in isotropic and anisotropic single materials and bimaterials. A domain decomposition technique ...

Article
The method of fundamental solutions for scattering and radiation problems
(2003)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 reviewed. A brief review of the ...

Article
The method of fundamental solutions for threedimensional elastostatics problems
(2002)We consider the application of the method of fundamental solutions to isotropic elastostatics problems in three space dimensions. The displacements are approximated by linear combinations of the fundamental solutions of ...

Article
The method of fundamental solutions: A weighted leastsquares approach
(2006)We investigate the Method of Fundamental Solutions (MFS) for the solution of certain elliptic boundary value problems. In particular, we study the case in which the number of collocation points exceeds the number of ...

Conference Object
The MFS for the detection of inner boundaries in linear elasticity
(2011)We propose a nonlinear minimization method of fundamental solutions for the detection (shape, size and location) of unknown inner boundaries corresponding to either a rigid inclusion or a cavity inside a linear elastic ...

Conference Object
MFSbased solution to twodimensional linear thermoelasticity problems
(2012)We propose the numerical approximation of the boundary and internal thermoelastic fields in the case of twodimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the ...

Conference Object
Performance of GMRES for the MFS
(2009)In this work we present some preliminary numerical results regarding the performance of the Generalized Minimal Residual (GMRES) method when it is applied to the solution of the linear systems arising from the discretization ...

Article
The singular function boundary integral method for biharmonic problems with crack singularities
(2007)We use the singular function boundary integral method (SFBIM) to solve two model fracture problems on the plane. In the SFBIM, the solution is approximated by the leading terms of the local asymptotic solution expansion, ...

Article
Solution of the planar Newtonian stickslip problem with the singular function boundary integral method
(2005)A singular function boundary integral method (SFBIM) is proposed for solving biharmonic problems with boundary singularities. The method is applied to the Newtonian stickslip flow problem. The streamfunction is approximated ...