Adaptive finite element strategies based on error assessment

Author (s): Huerta, A., Rodríguez-Ferran, A., Díez, P. and Sarrate, J.
Journal: International Journal for Numerical Methods in Engineering

Volume: 46, Issue 10
Pages: 1803 – 1818
Date: 1999

Two main ingredients are needed for adaptive finite element computations. First,
the error of a given solution must be assessed, by means of either error estimators
or error indicators. After that, a new spatial discretization must be defined
via h, p or r-adaptivity. In principle, any of the approaches for error assessment
may be combined with any of the procedures for adapting the discretization. However,
some combinations are clearly preferable. The advantages and limitations of the
various alternatives are discussed. The most adequate strategies are illustrated
by means of several applications in solid mechanics.



  Author   = {Huerta, Antonio and Rodriguez-Ferran, Antonio and Diez, Pedro and Sarrate, Josep},
  Title    = {Adaptive finite element strategies based on error assessment},
  Fjournal = {International Journal for Numerical Methods in Engineering},
  Journal  = {1097-0207},
  Volume   = {46},
  Number   = {10},
  Pages    = {1803--1818},
  Year     = {1999}}