Sur L'Approximation, Par Elements Finis D'Ordre Un, ET la Resolution, Par Penalisation-Dualite, D'Une Classe de Problemes de Dirichlet Non Lineaires

Roland Glowinski; A. Marroco

Sur L'Approximation, Par Elements Finis D'Ordre Un, ET la Resolution, Par Penalisation-Dualite, D'Une Classe de Problemes de Dirichlet Non Lineaires

Translated title of the contribution: Approximation by Finite Elements of Order One and Solution by Penalization-Duality of a Class of Nonlinear Dirichlet Problems.

Roland Glowinski^*
, A. Marroco

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

1363 Citations (Scopus)

Abstract

The numerical analysis of a given nonlinear Dirichlet problem is studied. The approximation is achieved by a finite element method and error estimates are given; the approximated problem is solved by an iterative algorithm combining S. O. R. , penalty and duality. An extension to other nonlinear problems is given, along with numerical results.

Translated title of the contribution	Approximation by Finite Elements of Order One and Solution by Penalization-Duality of a Class of Nonlinear Dirichlet Problems.
Original language	French
Pages (from-to)	41-76
Number of pages	36
Journal	Rev Fr Autom Inf Rech Oper
Volume	9
Issue number	R-2
Publication status	Published - 1975

Cite this

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title = "Sur L'Approximation, Par Elements Finis D'Ordre Un, ET la Resolution, Par Penalisation-Dualite, D'Une Classe de Problemes de Dirichlet Non Lineaires",

abstract = "The numerical analysis of a given nonlinear Dirichlet problem is studied. The approximation is achieved by a finite element method and error estimates are given; the approximated problem is solved by an iterative algorithm combining S. O. R. , penalty and duality. An extension to other nonlinear problems is given, along with numerical results.",

author = "Roland Glowinski and A. Marroco",

year = "1975",

language = "French",

volume = "9",

pages = "41--76",

journal = "Rev Fr Autom Inf Rech Oper",

number = "R-2",

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T1 - Sur L'Approximation, Par Elements Finis D'Ordre Un, ET la Resolution, Par Penalisation-Dualite, D'Une Classe de Problemes de Dirichlet Non Lineaires

AU - Glowinski, Roland

AU - Marroco, A.

PY - 1975

Y1 - 1975

N2 - The numerical analysis of a given nonlinear Dirichlet problem is studied. The approximation is achieved by a finite element method and error estimates are given; the approximated problem is solved by an iterative algorithm combining S. O. R. , penalty and duality. An extension to other nonlinear problems is given, along with numerical results.

AB - The numerical analysis of a given nonlinear Dirichlet problem is studied. The approximation is achieved by a finite element method and error estimates are given; the approximated problem is solved by an iterative algorithm combining S. O. R. , penalty and duality. An extension to other nonlinear problems is given, along with numerical results.

UR - https://www.scopus.com/pages/publications/0016536442

M3 - Journal article

AN - SCOPUS:0016536442

VL - 9

SP - 41

EP - 76

JO - Rev Fr Autom Inf Rech Oper

JF - Rev Fr Autom Inf Rech Oper

IS - R-2

ER -

Sur L'Approximation, Par Elements Finis D'Ordre Un, ET la Resolution, Par Penalisation-Dualite, D'Une Classe de Problemes de Dirichlet Non Lineaires

Abstract

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