On some new recovery-based a posteriori error estimators

G. Maisano, S. Micheletti, S. Perotto, C. L. Bottasso

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

The paper is concerned with the formulation of recovery-based a posteriori error estimators. At first we analyze a variant of the well-known Zienkiewicz-Zhu method, which is here formulated so as to be exact in one dimension for quadratic solutions on non-uniform grids. Next, we discuss two methods which operate directly on the solution, rather than its gradient: one is based on a solution enrichment using the Zienkiewicz-Zhu recovered gradient, while the other consists of a roughening of the solution followed by a Zienkiewicz-Zhu-like recovery. The three new proposed methods are compared in terms of their effectivity indices and solution accuracy to the Zienkiewicz-Zhu estimator, and are applied to representative two- and three-dimensional problems.

Original languageEnglish
Pages (from-to)4794-4815
Number of pages22
JournalComputer Methods in Applied Mechanics and Engineering
Volume195
Issue number37-40
DOIs
StatePublished - 15 Jul 2006
Externally publishedYes

Keywords

  • A posteriori analysis
  • Error estimators
  • Finite elements
  • Recovery techniques

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