Analysis of some fully‐discrete algorithms for the one‐dimensional heat equation

Thomas J.R. Hughes, Tayfun E. Tezduyar

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

A fully discrete stability and accuracy analysis of some algorithms for the one‐dimensional heat equation is presented. Results illustrate that 2‐pass explicit schemes which simultaneously employ lumped and coupled capacity matrices are capable of improved performance over the standard 1‐pass explicit scheme.

Original languageEnglish
Pages (from-to)163-168
Number of pages6
JournalInternational Journal for Numerical Methods in Engineering
Volume21
Issue number1
DOIs
Publication statusPublished - 1985
Externally publishedYes

Fingerprint

Explicit Scheme
Heat Equation
Hot Temperature
Standards

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Cite this

Analysis of some fully‐discrete algorithms for the one‐dimensional heat equation. / Hughes, Thomas J.R.; Tezduyar, Tayfun E.

In: International Journal for Numerical Methods in Engineering, Vol. 21, No. 1, 1985, p. 163-168.

Research output: Contribution to journal › Article

Hughes, TJR & Tezduyar, TE 1985, 'Analysis of some fully‐discrete algorithms for the one‐dimensional heat equation', International Journal for Numerical Methods in Engineering, vol. 21, no. 1, pp. 163-168. https://doi.org/10.1002/nme.1620210113
Hughes TJR, Tezduyar TE. Analysis of some fully‐discrete algorithms for the one‐dimensional heat equation. International Journal for Numerical Methods in Engineering. 1985;21(1):163-168. https://doi.org/10.1002/nme.1620210113
Hughes, Thomas J.R. ; Tezduyar, Tayfun E. / Analysis of some fully‐discrete algorithms for the one‐dimensional heat equation. In: International Journal for Numerical Methods in Engineering. 1985 ; Vol. 21, No. 1. pp. 163-168.
@article{45b15a8636c64254b0939e613b472a36,
title = "Analysis of some fully‐discrete algorithms for the one‐dimensional heat equation",
abstract = "A fully discrete stability and accuracy analysis of some algorithms for the one‐dimensional heat equation is presented. Results illustrate that 2‐pass explicit schemes which simultaneously employ lumped and coupled capacity matrices are capable of improved performance over the standard 1‐pass explicit scheme.",
author = "Hughes, {Thomas J.R.} and Tezduyar, {Tayfun E.}",
year = "1985",
doi = "10.1002/nme.1620210113",
language = "English",
volume = "21",
pages = "163--168",
journal = "International Journal for Numerical Methods in Engineering",
issn = "0029-5981",
publisher = "John Wiley and Sons Ltd",
number = "1",

}

TY - JOUR

T1 - Analysis of some fully‐discrete algorithms for the one‐dimensional heat equation

AU - Hughes, Thomas J.R.

AU - Tezduyar, Tayfun E.

PY - 1985

Y1 - 1985

N2 - A fully discrete stability and accuracy analysis of some algorithms for the one‐dimensional heat equation is presented. Results illustrate that 2‐pass explicit schemes which simultaneously employ lumped and coupled capacity matrices are capable of improved performance over the standard 1‐pass explicit scheme.

AB - A fully discrete stability and accuracy analysis of some algorithms for the one‐dimensional heat equation is presented. Results illustrate that 2‐pass explicit schemes which simultaneously employ lumped and coupled capacity matrices are capable of improved performance over the standard 1‐pass explicit scheme.

UR - http://www.scopus.com/inward/record.url?scp=0021788044&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021788044&partnerID=8YFLogxK

U2 - 10.1002/nme.1620210113

DO - 10.1002/nme.1620210113

M3 - Article

AN - SCOPUS:0021788044

VL - 21

SP - 163

EP - 168

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 0029-5981

IS - 1

ER -

Access to Document