Convergence of an element‐partitioned subcycling algorithm for the semi‐discrete heat equation

Thomas J.R. Hughes; Ted Belytschko; Wing K Liu

doi:10.1002/num.1690030205

Convergence of an element‐partitioned subcycling algorithm for the semi‐discrete heat equation

Thomas J.R. Hughes^*, Ted Belytschko, Wing K Liu

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

A convergence analysis is performed for an element‐partitioned subcycling algorithm for the semi‐discrete heat equation. It is shown that the algorithm generally attains first‐order rate‐of‐convergence.

Original language	English (US)
Pages (from-to)	131-137
Number of pages	7
Journal	Numerical Methods for Partial Differential Equations
Volume	3
Issue number	2
DOIs	https://doi.org/10.1002/num.1690030205
State	Published - Jan 1 1987

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1002/num.1690030205

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@article{edd2321229784971b6ba79b38cd79c5a,

title = "Convergence of an element‐partitioned subcycling algorithm for the semi‐discrete heat equation",

abstract = "A convergence analysis is performed for an element‐partitioned subcycling algorithm for the semi‐discrete heat equation. It is shown that the algorithm generally attains first‐order rate‐of‐convergence.",

author = "Hughes, {Thomas J.R.} and Ted Belytschko and Liu, {Wing K}",

year = "1987",

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doi = "10.1002/num.1690030205",

language = "English (US)",

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journal = "Numerical Methods for Partial Differential Equations",

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AU - Hughes, Thomas J.R.

AU - Belytschko, Ted

AU - Liu, Wing K

PY - 1987/1/1

Y1 - 1987/1/1

N2 - A convergence analysis is performed for an element‐partitioned subcycling algorithm for the semi‐discrete heat equation. It is shown that the algorithm generally attains first‐order rate‐of‐convergence.

AB - A convergence analysis is performed for an element‐partitioned subcycling algorithm for the semi‐discrete heat equation. It is shown that the algorithm generally attains first‐order rate‐of‐convergence.

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U2 - 10.1002/num.1690030205

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M3 - Article

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JO - Numerical Methods for Partial Differential Equations

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SN - 0749-159X

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ER -

Convergence of an element‐partitioned subcycling algorithm for the semi‐discrete heat equation

Abstract

ASJC Scopus subject areas

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