• Article  

      Efficient MFS algorithms for inhomogeneous polyharmonic problems 

      Karageorghis, Andreas (2011)
      In this work we develop an efficient algorithm for the application of the method of fundamental solutions to inhomogeneous polyharmonic problems, that is problems governed by equations of the form Δ ℓ u=f, ℓ ε ℕ, in circular ...
    • Article  

      Matrix decomposition RBF algorithm for solving 3D elliptic problems 

      Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis (2009)
      In this study, we propose an efficient algorithm for the evaluation of the particular solutions of three-dimensional inhomogeneous elliptic partial differential equations using radial basis functions. The collocation points ...
    • 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 ...