A posteriori estimates for conforming Kirchhoff plate elements

Tom Gustafsson*, Rolf Stenberg, Juha Videman

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

6 Citations (Scopus)
172 Downloads (Pure)

Abstract

We derive a residual a posteriori estimator for the Kirchhoff plate bending problem. We consider the problem with a combination of clamped, simply supported, and free boundary conditions subject to both distributed and concentrated (point and line) loads. Extensive numerical computations are presented to verify the functionality of the estimators.

Original languageEnglish
Pages (from-to)A1386-A1407
Number of pages22
JournalSIAM Journal on Scientific Computing
Volume40
Issue number3
DOIs
Publication statusPublished - 2018
MoE publication typeA1 Journal article-refereed

Keywords

  • Kirchhoff plate
  • C-1 elements
  • a posteriori estimates
  • DISCONTINUOUS GALERKIN METHOD
  • C-0 FINITE-ELEMENTS
  • BOUNDARY-CONDITIONS
  • ERROR ESTIMATOR
  • PENALTY METHOD
  • APPROXIMATIONS
  • FAMILY

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