Skip to main content

On the Solution of a Class of Non Linear Dirichlet Problems by a Penalty-Duality Method and Finite Elements of Order One

  • Chapter
Optimization Techniques IFIP Technical Conference

Part of the book series: Lecture Notes in Computer Science ((LNCIS))

Abstract

In this paper, we shall give some results on the approximation and on the numerical solution of some non linear elliptical problems. It is also shown that the iterative method used to solve the approximate problems is also useful for solving other non linear problems arising in mechanics and physics.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. J. L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéaires. Dunod, Gauthier-Villars, 1969.

    MATH  Google Scholar 

  2. P. Ciarlet, P. A. Raviart: General Lagrange and Hermite Interpolation in Rn. Arch. Rat. Mech. Anal. 46, 1972.

    Google Scholar 

  3. L. Tartar: Interpolation non linéaire et régularité. J. Funct. Anal. 9, N°4, 1972.

    Google Scholar 

  4. R. Glowinski, A. Marrocco: Analyse Numérique du champ magnétique d’un alternateur. Comp. Meth. Appl. Mech. Eng., 3, N°1, 1974.

    Google Scholar 

  5. H. Brezis, M. Sibony: Méthodes d’approximation et d’itération pour les opérateurs monotones. Arch. Rat. Mech. Anal. 28, 1968.

    Google Scholar 

  6. M. Hestenes: Multiplier and Gradient Methods. J. O. T. A., 4, N° 5, 1969.

    Google Scholar 

  7. R. T. Rockafellar: Convex Analysis. Princeton University Press, 1970.

    MATH  Google Scholar 

  8. J. Cea, R. Glowinski: Sur des Méthodes d’optimisation par relaxation. R. A. I. R. O., R-3, Déc. 1973.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Glowinski, R., Marrocco, A. (1975). On the Solution of a Class of Non Linear Dirichlet Problems by a Penalty-Duality Method and Finite Elements of Order One. In: Marchuk, G.I. (eds) Optimization Techniques IFIP Technical Conference. Lecture Notes in Computer Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-38527-2_45

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-38527-2_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-37713-0

  • Online ISBN: 978-3-662-38527-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics