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Browsing by Subject "Boundary element method"

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    • Article  

      Finite element methods for a singularly perturbed transmission problem 

      Nicaise, S.; Xenophontos, Christos A. (2009)
      We consider a one-dimensional 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 

      Tsangaris, T.; Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas (2004)
      The Method of Fundamental Solutions (MFS) is a boundary-type 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 

      Karageorghis, Andreas; Fairweather, G. (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 

      Karageorghis, Andreas; Lesnic, D. (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 (near-or ...

    • Article  

      The method of fundamental solutions for layered elastic materials 

      Berger, J. R.; Karageorghis, Andreas (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 ...

    • Article  

      The method of fundamental solutions for scattering and radiation problems 

      Fairweather, G.; Karageorghis, Andreas; Martin, P. A. (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 three-dimensional elastostatics problems 

      Poullikkas, A.; Karageorghis, Andreas; Georgiou, Georgios C. (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 least-squares approach 

      Smyrlis, Yiorgos-Sokratis (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 

      Karageorghis, Andreas; Lesnic, D.; Marin, L. (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  

      MFS-based solution to two-dimensional linear thermoelasticity problems 

      Marin, L.; Karageorghis, Andreas (2012)
      We propose the numerical approximation of the boundary and internal thermoelastic fields in the case of two-dimensional isotropic linear thermoelastic solids by combining the method of fundamental solutions (MFS) with the ...

    • Conference Object  

      Performance of GMRES for the MFS 

      Karageorghis, Andreas; Smyrlis, Yiorgos-Sokratis (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 

      Elliotis, Miltiades C.; Georgiou, Georgios C.; Xenophontos, Christos A. (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 stick-slip problem with the singular function boundary integral method 

      Elliotis, Miltiades C.; Georgiou, Georgios C.; Xenophontos, Christos A. (2005)
      A singular function boundary integral method (SFBIM) is proposed for solving biharmonic problems with boundary singularities. The method is applied to the Newtonian stick-slip flow problem. The streamfunction is approximated ...

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