Convergence of finite elements enriched with meshless methods

Author (s): Fernández-Méndez, S., Díez, P. and Huerta, A.
Journal: Numerische Mathematik

Volume: 96, Issue 1
Pages: 43 – 59
Date: 2003

A combined hierarchical approximation based on finite elements and mesh-less methods is proposed and studied. Finite Elements are enriched adding hierarchical shape functions based on a particle distribution. Convergence results are presented and proved.



  Author   = {Fernandez-Mendez, Sonia and Diez, Pedro and Huerta, Antonio},
  Title    = {Convergence of finite elements enriched with mesh-less methods},
  Fjournal = {Numerische Mathematik},
  Journal  = {Numer. Math.},
  Volume   = {96},
  Number   = {1},
  Pages    = {43--59},
  Year     = {2003}}