Feedback and adaptive finite element solution of one-dimensional boundary value problems

I. Bubuška, M. Vogelius

Research output: Contribution to journalArticlepeer-review

103 Scopus citations

Abstract

This paper examines the concepts of feedback and adaptivity for the Finite Element Method. The model problem concerns C0 elements of arbitrary, fixed degree for a one-dimensional two-point boundary value problem. Three different feedback methods are introduced and a detailed analysis of their adaptivity is given.

Original languageEnglish (US)
Pages (from-to)75-102
Number of pages28
JournalNumerische Mathematik
Volume44
Issue number1
DOIs
StatePublished - Feb 1 1984
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Subject Classifications: AMS(MOS): 65L10, CR: 5.17

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