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inria-00455799, version 1

A numerical study of some Hessian recovery techniques on isotropic and anisotropic meshes

Marco Picasso () 1, Frédéric Alauzet () 1, Houman Borouchaki 1, Paul Louis George 1

N° RR-7202 (2010)

Abstract: Continuous piecewise linear finite elements are considered to solve a Laplace problem and several numerical methods are investigated to recover second derivatives. Numerical results on 2D and 3D isotropic and anisotropic meshes indicate that the quality of the results is strongly linked to the mesh topology and that no convergence can be insured in general.

  • 1:  GAMMA3 (INRIA Paris-Rocquencourt)
  • INRIA
  • Domain : Computer Science/Modeling and Simulation
  • Keywords : Éléments finis – Matrice Hessienne – maillages anisotropeq
  • Internal note : RR-7202
 
  • inria-00455799, version 1
  • http://hal.inria.fr/inria-00455799
  • oai:hal.inria.fr:inria-00455799
  • From: Paul-Louis George <>
  • Submitted on: Monday, 4 February 2013 14:12:26
  • Updated on: Wednesday, 6 February 2013 10:04:34