Alternating-direction collocation for rectangular regions

L. Hayes; G. Pinder; Michael Anthony Celia

doi:10.1016/0045-7825(81)90133-X

Alternating-direction collocation for rectangular regions

L. Hayes, G. Pinder, Michael Anthony Celia

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

16 Scopus citations

Abstract

An alternating-direction procedure for finite element collocation equations can be formulated on rectangular regions. Finite element collocation offers a great savings over finite element techniques in the matrix formation stage of the numerical process. Moreover, with an alternating-direction procedure, multidimensional problems can be solved as a series of one-dimensional problems. This greatly reduces the amount of computer time and storage required to solve large problems.

Original language	English (US)
Pages (from-to)	265-277
Number of pages	13
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	27
Issue number	3
DOIs	https://doi.org/10.1016/0045-7825(81)90133-X
State	Published - Jul 1981

All Science Journal Classification (ASJC) codes

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/0045-7825(81)90133-X

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title = "Alternating-direction collocation for rectangular regions",

abstract = "An alternating-direction procedure for finite element collocation equations can be formulated on rectangular regions. Finite element collocation offers a great savings over finite element techniques in the matrix formation stage of the numerical process. Moreover, with an alternating-direction procedure, multidimensional problems can be solved as a series of one-dimensional problems. This greatly reduces the amount of computer time and storage required to solve large problems.",

author = "L. Hayes and G. Pinder and Celia, {Michael Anthony}",

note = "Funding Information: *This work was supported in part by a National Science Foundation Grant CME-7915789 at The University t~I",

year = "1981",

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AU - Pinder, G.

AU - Celia, Michael Anthony

N1 - Funding Information: *This work was supported in part by a National Science Foundation Grant CME-7915789 at The University t~I

PY - 1981/7

Y1 - 1981/7

N2 - An alternating-direction procedure for finite element collocation equations can be formulated on rectangular regions. Finite element collocation offers a great savings over finite element techniques in the matrix formation stage of the numerical process. Moreover, with an alternating-direction procedure, multidimensional problems can be solved as a series of one-dimensional problems. This greatly reduces the amount of computer time and storage required to solve large problems.

AB - An alternating-direction procedure for finite element collocation equations can be formulated on rectangular regions. Finite element collocation offers a great savings over finite element techniques in the matrix formation stage of the numerical process. Moreover, with an alternating-direction procedure, multidimensional problems can be solved as a series of one-dimensional problems. This greatly reduces the amount of computer time and storage required to solve large problems.

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ER -

Alternating-direction collocation for rectangular regions

Abstract

All Science Journal Classification (ASJC) codes

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