Finite element methods: Principles for their selection

D. N. Arnold, I. Babuška, J. Osborn

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

Principles for the selection of a finite element method for a particular problem are discussed. These principles are stated in terms of the notion of approximability, optimality, and stability. Several examples are discussed in detail as illustrations. Conclusions regarding the selection of finite element methods are summarized in the final section of the paper.

Original languageEnglish (US)
Pages (from-to)57-96
Number of pages40
JournalComputer Methods in Applied Mechanics and Engineering
Volume45
Issue number1-3
DOIs
StatePublished - Sep 1984

Bibliographical note

Funding Information:
* The work of the first and third authors was partially supported MCS-78-02851, that of the second author by the Office of Naval

Funding Information:
by the National Science Foundation under Grant Research under Contract N00014-77-C-0623.

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