Multi‐level finite element solution algorithms based on multiplicative and additive correction procedures

C. N. Chen, L. C. Wellford

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Owing to the failure of the finite element analyst to employ a properly refined computational model, the accuracy of preliminary finite element computations is often low. Thus, it is useful to introduce a computational procedure for improving the results obtained from a preliminary finite element solution. Such a procedure is presented in this paper. In this procedure the solution error components are decomposed into two parts. One of the error components is assumed to have a long period variation. The other component is assumed to have a short period variation. Multiplicative and additive correction procedures are introduced to iteratively eliminate the two error components. The multiplicative and additive correction procedures are implemented using multi‐level solution techniques.

Original languageEnglish
Pages (from-to)27-41
Number of pages15
JournalInternational Journal for Numerical Methods in Engineering
Volume28
Issue number1
DOIs
Publication statusPublished - 1989 Jan

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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