Error Estimation Including Pollution Assessment for Nonlinear Finite Element Analysis

Author (s): Huerta, A. and Díez, P.
Journal: Computer Methods in Applied Mechanics and Engineering

Volume: 181, Issues 1,3
Pages: 21 – 41
Date: 2000


A residual type error estimator for nonlinear finite element analysis is introduced.
This error estimator solves local problems avoiding both the computation of the
flux jumps and the associated flux splitting procedure. Pollution errors are taken
into account by a feedback strategy, that is, an error estimate based on local
computations is used as the input of the pollution analysis. This estimator is
used in the frame of an adaptive procedure. Numerical examples show the estimator
is able to drive adaptive procedures leading to likely good solutions. Moreover,
one of the examples demonstrates that adaptive procedures are essential for complex
highly nonlinear mechanical problems because they may discover secondary collapse



  Author   = {Huerta, Antonio and D/‘iez, Pedro},
  Title    = {Error estimation including pollution assessment for nonlinear finite element analysis},
  Fjournal = {Computer Methods in Applied Mechanics and Engineering},
  Journal  = {Comput. Methods Appl. Mech. Eng.},
  Volume   = {181},
  Number   = {1-3},
  Pages    = {21--41},
  Year     = {2000},
  Doi      = {10.1016/S0045-7825(99)00071-7},
  Url      = {http://www.ams.org/mathscinet-getitem?mr=1734666}}