• Article  

      A legendre spectral collocation method for the biharmonic Dirichlet problem 

      Bialecki, B.; Karageorghis, Andreas (2000)
      A Legendre spectral collocation method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which ...
    • Article  

      A Legendre spectral Galerkin method for the biharmonic Dirichlet problem 

      Bialecki, B.; Karageorghis, Andreas (2001)
      A Legendre spectral Galerkin method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which ...
    • Article  

      Three-dimensional image reconstruction using the PF/MFS technique 

      Tankelevich, R.; Fairweather, G.; Karageorghis, Andreas (2009)
      We propose a geometric modeling method in R3 based on the so-called potential field (PF) modeling technique. The method is a new technique for surface reconstruction from a data set of scattered points taken on a surface. ...