Coupling finite elements and particles for adaptivity: an application to consistently stabilized convection-diffusion

Author (s): Fernández-Méndez, S. and Huerta, A.
Journal: Lecture Notes on computational science and engineering

Volume: 26
Pages: 117 – 130
Date: 2002

A mixed approximation coupling finite elements and mesh-less methods is presented.
It allows selective refinement of the finite element solution without remeshing cost. The distribution of particles can be arbitrary. Continuity and consistency is preserved. The behaviour of the mixed interpolation in the resolution of the convection-diffusion equation is analyzed



  Author   = {Fernandez-Mendez, Sonia and Huerta, Antonio},
  Title    = {Coupling finite elements and particles for adaptivity: An application to consistently stabilized convection-diffusion},
  Booktitle= {Meshfree methods for partial differential equations},
  Series   = {Lecture Notes in Computational Science and Engineering},
  Publisher= {Springer-Verlag},
  Volume   = {26},
  Pages    = {117--129},
  Year     = {2002}}