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

Thomas J.R. Hughes; Tayfun E. Tezduyar

doi:10.1002/nme.1620210113

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

Thomas J.R. Hughes, Tayfun E. Tezduyar

Graduate School of Creative Science and Engineering

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 language	English
Pages (from-to)	163-168
Number of pages	6
Journal	International Journal for Numerical Methods in Engineering
Volume	21
Issue number	1
DOIs	https://doi.org/10.1002/nme.1620210113
Publication status	Published - 1985 Jan

ASJC Scopus subject areas

Numerical Analysis
Engineering(all)
Applied Mathematics

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Hughes, T. J. R., & Tezduyar, T. E. (1985). Analysis of some fully‐discrete algorithms for the one‐dimensional heat equation. International Journal for Numerical Methods in Engineering, 21(1), 163-168. https://doi.org/10.1002/nme.1620210113

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