Dual iterative techniques for solving a finite element approximation of the biharmonic equation

P. G. Ciarlet; R. Glowinski

doi:10.1016/0045-7825(75)90002-X

Dual iterative techniques for solving a finite element approximation of the biharmonic equation

P. G. Ciarlet
, R. Glowinski

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

36 Citations (Scopus)

Abstract

A finite element approximation of the Dirichlet problem for the biharmonic operator is described. Its main feature is that it is equivalent to solving a sequence of discrete Dirichlet problems for the operator -Δ. This method, which has already been shown to be convergent, is particularly well-suited for problems in fluid dynamics. © 1975.

Original language	English
Pages (from-to)	277-295
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	5
Issue number	3
DOIs	https://doi.org/10.1016/0045-7825(75)90002-X
Publication status	Published - May 1975
Externally published	Yes

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title = "Dual iterative techniques for solving a finite element approximation of the biharmonic equation",

abstract = "A finite element approximation of the Dirichlet problem for the biharmonic operator is described. Its main feature is that it is equivalent to solving a sequence of discrete Dirichlet problems for the operator -Δ. This method, which has already been shown to be convergent, is particularly well-suited for problems in fluid dynamics. {\textcopyright} 1975.",

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T1 - Dual iterative techniques for solving a finite element approximation of the biharmonic equation

AU - Ciarlet, P. G.

AU - Glowinski, R.

PY - 1975/5

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N2 - A finite element approximation of the Dirichlet problem for the biharmonic operator is described. Its main feature is that it is equivalent to solving a sequence of discrete Dirichlet problems for the operator -Δ. This method, which has already been shown to be convergent, is particularly well-suited for problems in fluid dynamics. © 1975.

AB - A finite element approximation of the Dirichlet problem for the biharmonic operator is described. Its main feature is that it is equivalent to solving a sequence of discrete Dirichlet problems for the operator -Δ. This method, which has already been shown to be convergent, is particularly well-suited for problems in fluid dynamics. © 1975.

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0016508770&origin=recordpage

U2 - 10.1016/0045-7825(75)90002-X

DO - 10.1016/0045-7825(75)90002-X

M3 - RGC 21 - Publication in refereed journal

SN - 0045-7825

VL - 5

SP - 277

EP - 295

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 3

ER -

Dual iterative techniques for solving a finite element approximation of the biharmonic equation

Abstract

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