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

Research output: Contribution to journalArticlepeer-review

869 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 contributionApproximation by Finite Elements of Order One and Solution by Penalization-Duality of a Class of Nonlinear Dirichlet Problems.
Original languageFrench
Pages (from-to)41-76
Number of pages36
JournalRev Fr Autom Inf Rech Oper
Volume9
Issue numberR-2
Publication statusPublished - 1975

Scopus Subject Areas

  • Engineering(all)

Fingerprint

Dive into the research topics of 'Approximation by Finite Elements of Order One and Solution by Penalization-Duality of a Class of Nonlinear Dirichlet Problems.'. Together they form a unique fingerprint.

Cite this