Análisis de diferentes estimadores de error de postproceso para adaptatividad orientada al resultado

Author (s): Giovanni Calderón y Pedro Díez
Journal: Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería

Volume: 22 Issue 2
Pages: 193 – 213
Date: 2006

Abstract:
Practical numerical solvers for boundary problems require assessing the resulting accuracy. Error was used to be measured using the energy norm but, currently, the error is preferred to be evaluated using quantities of interest defined by the end user. The error representation for these magnitudes requires solving both the original problem (primal) and an adjoint problem (dual) associated with the quantity of interest, that have to be combined. The representation of the error, i.e. the way of combining them, is not unique. Here, three error representations are analyzed combined with di®erent recovery procedures. The ideas introduced by Zienkiewicz y Zhu (1987 y 1992) for stress recovery and by Wiberg (1992) for
displacements are used. The numerical tests analyze the performance of the proposed methodologies both in thermal and mechanical problems. Implementation aspects are also discussed, especially in the framework of adaptive remeshing processes.

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Bibtex:

@article{ 772609,   ,
  Author   = {Calderón, G. and Diez, P.},
  Title    = {Análisis de diferentes estimadores de error de postproceso para adaptatividad orientada al resultado},
  Fjournal = {Revista internacional de métodos numéricos para cálculo y diseño en ingeniería},
  Journal = {Revista internacional de métodos numéricos para cálculo y diseño en ingeniería },
  Volume   = {22},
  Number   = {2},
  Pages    = {193--213 },
  ISSN {0213-1315},
  Year= {2006}}