Enrichment and Coupling of the Finite Element and Meshless Methods

Author (s): Huerta, A. and Fernández-Méndez, S.
Journal: International Journal for Numerical Methods in Engineering

Volume: 48, Issue 11
Pages: 1615 – 1636
Date: 2000


A mixed hierarchical approximation based on finite elements and meshless methods
is presented. Two cases are considered. The first one couples regions where
finite elements or meshless methods are used to interpolate: continuity and
consistency is preserved. The second one enriches a finite element mesh with
particles. Thus there is no need to remesh in adaptive refinement processes.
In both cases the same formulation is used, convergence is studied and examples
are shown.



  Author   = {A. Huerta and S. Fern\'{a}ndez-M\'{e}ndez},
  Title    = {Enrichment and coupling of the finite element and meshless methods},
  Fjournal = {International Journal for Numerical Methods in Engineering},
  Journal  = {Int. J. Numer. Methods Eng.},
  Volume   = {48},
  Number   = {11},
  Pages    = {1615--1636},
  Year     = {2000}}