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

Chang-New 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 1

Fingerprint

Finite Element Solution
Multiplicative
Finite Element
Computational Model
Eliminate

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Cite this

@article{1acc23c0f12947f8bb653fc72c11b6af,
title = "Multi‐level finite element solution algorithms based on multiplicative and additive correction procedures",
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.",
author = "Chang-New Chen and Wellford, {L. C.}",
year = "1989",
month = "1",
day = "1",
doi = "10.1002/nme.1620280105",
language = "English",
volume = "28",
pages = "27--41",
journal = "International Journal for Numerical Methods in Engineering",
issn = "0029-5981",
publisher = "John Wiley and Sons Ltd",
number = "1",

}

Multi‐level finite element solution algorithms based on multiplicative and additive correction procedures. / Chen, Chang-New; Wellford, L. C.

In: International Journal for Numerical Methods in Engineering, Vol. 28, No. 1, 01.01.1989, p. 27-41.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Multi‐level finite element solution algorithms based on multiplicative and additive correction procedures

AU - Chen, Chang-New

AU - Wellford, L. C.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0024303133&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024303133&partnerID=8YFLogxK

U2 - 10.1002/nme.1620280105

DO - 10.1002/nme.1620280105

M3 - Article

AN - SCOPUS:0024303133

VL - 28

SP - 27

EP - 41

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 0029-5981

IS - 1

ER -