• Article  

      A linear least-squares MFS for certain elliptic problems 

      Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas (2004)
      The Method of Fundamental Solutions (MFS) is a boundary-type meshless method for the solution of certain elliptic boundary value problems. In this work, we propose an efficient algorithm for the linear least-squares version ...
    • Article  

      A matrix decomposition RBF algorithm: Approximation of functions and their derivatives 

      Karageorghis, Andreas; Chen, C. S.; Smyrlis, Yiorgos-Sokratis (2007)
      We propose an efficient algorithm for the approximation of functions and their derivatives using radial basis functions (RBFs). The interpolation points are placed on concentric circles and the resulting matrix has a block ...
    • Article  

      Numerical analysis of the MFS for certain harmonic problems 

      Smyrlis, Yiorgos-Sokratis; Karageorghis, Andreas (2004)
      The Method of Fundamental Solutions (MFS) is a boundary-type meshless method for the solution of certain elliptic boundary value problems. In this work, we investigate the properties of the matrices that arise when the MFS ...