Browsing by Subject "Numerical solution"

Now showing items 1-13 of 13

    • Article  

      Application of the MFS to inverse obstacle scattering problems 

      Karageorghis, Andreas; Lesnic, D. (2011)
      In this paper, the method of fundamental solutions (MFS) is used to detect the shape, size and location of a scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered acoustic pressure ...
    • Article  

      Conforming spectral domain decomposition schemes 

      Karageorghis, Andreas (1997)
      Spectral domain decomposition schemes are presented for the numerical solution of second and fourth order problems. These schemes, which are formulated in the collocation framework yield spectral approximations which are ...
    • Article  

      Detection of cavities using the method of fundamental solutions 

      Karageorghis, Andreas; Lesnic, D. (2009)
      The determination of the boundary of a cavity, defined here as a perfectly insulated inclusion, within a conducting medium from a single voltage and current flux measurements on the accessible boundary of the medium, can ...
    • Article  

      Efficient MFS algorithms for problems in thermoelasticity 

      Karageorghis, Andreas; Marin, L. (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 ...
    • Article  

      A meshless numerical identification of a sound-hard obstacle 

      Karageorghis, Andreas; Lesnic, D. (2012)
      We propose a simple meshless method for detecting a rigid (sound-hard) scatterer embedded in a host acoustic homogeneous medium from scant measurements of the scattered near field. This inverse problem is ill-posed since ...
    • 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 the inverse conductivity problem 

      Karageorghis, Andreas; Lesnic, D. (2010)
      In this article, we propose a simple method for detecting an inclusion Ω2 embedded in a host electrostatic medium Ω1 from a single Cauchy pair of voltage and current flux measurements on the exterior boundary of Ω1. A ...
    • Article  

      The MFS for the solution of harmonic boundary value problems with non-harmonic boundary conditions 

      Li, M.; Chen, C. S.; Karageorghis, Andreas (2013)
      We investigate applications of the method of fundamental solutions (MFS) for the numerical solution of two-dimensional boundary value problems in complex geometries, governed by the Laplace equation and subject to Dirichlet ...
    • Article  

      Numerical similarity reductions of the (1+3)-dimensional Burgers equation 

      Christou, Marios Andreas; Sophocleous, Christodoulos (2011)
      We consider the (1+3)-dimensional Burgers equation ut = u xx + uyy + uzz + uux which has considerable interest in mathematical physics. Lie symmetries are used to reduce it to certain ordinary differential equations. We ...
    • Article  

      Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries 

      Vaneeva, Olena O.; Papanicolaou, N. C.; Christou, Marios Andreas; Sophocleous, Christodoulos (2014)
      The exhaustive group classification of a class of variable coefficient generalized KdV equations is presented, which completes and enhances results existing in the literature. Lie symmetries are used for solving an initial ...
    • Conference Object  

      Sedimentation of heavy crystal particles under microgravity conditions 

      Alexandrou, Andreas N.; Gatsonis, N. A.; Shi, H.; Sacco, A. (American Institute of Aeronautics and Astronautics Inc, AIAA, 1998)
      Crystals grown from specially prepared liquid solutions have important industrial applications such as in biochemical processes, refining etc. The efficiency of these crystals is usually a function of their size. Therefore, ...
    • Article  

      A survey of applications of the MFS to inverse problems 

      Karageorghis, Andreas; Lesnic, D.; Marin, L. (2011)
      The method of fundamental solutions (MFS) is a relatively new method for the numerical solution of boundary value problems and initial/boundary value problems governed by certain partial differential equations. The ease ...
    • Conference Object  

      A two-phase fluid model of crystal settling under variable gravity 

      Alexandrou, Andreas N.; Shi, H.; Gatsonis, N. A.; Jr, A. Sacco (American Institute of Aeronautics and Astronautics Inc, AIAA, 1999)
      A two-phase fluid model of crystal particle motion in a liquid is presented. The model includes a liquid and a solid phase as continua and forces due to pressure, viscous stresses, variable gravity and fluid drag. The model ...