Skip to main content
Log in

Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literatur

  1. S. Agmon, Lectures on Elliptic Boundary Value Problems. D. Van Nostrand Comp., Inc. Princeton, New Jersey, New York 1965.

    MATH  Google Scholar 

  2. J. P. Aubin, Approximation des espaces de distributions et des opérateurs diffeérentiels. Bull. Soc. math. France. Mémoire12 1967 139p.

  3. I. Babuska, Numerical Solution of Boundary Value Problems by the Perturbated Variational Principle. Techn. Note BN-624, University of Maryland, 1969.

  4. I. Babuska, Error-Bounds for Finite Element Method. Techn. Note BN-630. Univ. of Maryland, 1969.

  5. I. Babuska, Approximation by Hill Functions. To appear.

  6. J. H. Bramble andA. H. Schatz, Rayleigh-Ritz-Galerkin Methods for Dirichlet’s Problem Using Subspaces Without Boundary conditions. To appear Comm. p. appl. Math.23 (1970) 653–675.

    Article  MathSciNet  MATH  Google Scholar 

  7. T. Miyoshi, On the Convergence of Rith-Galerkin’s Method. Publ. Res. Inst. Math. Sci. Ser. A4 (1968/69), 149–177.

    Article  MathSciNet  MATH  Google Scholar 

  8. J. Nitsche, Ein Kriteriums für die Quasi-Optimalität des Ritzschen Verfahrens. Numer. Math.11 (1968) 346–384.

    Article  MathSciNet  MATH  Google Scholar 

  9. J. Nitsche, Lineare Spline-Funktionen und die Methoden von Ritz für elliptische Randwertprobleme. Arch. for Rat. Mech. and Anal.36 (1970) 348–355.

    MathSciNet  MATH  Google Scholar 

  10. B. L. Rvachev andL. I. Shklyarov On the Application of the Bubnov-Galerkin Method to the Solution of Boundary Problems for Domains of Complex Shape. Diff. Equ.1 (1965) 1211–1216.

    Google Scholar 

  11. M. Schechter, OnL p Estimates and Regularitys. Math. Scand.13 (1963) 47–69.

    MathSciNet  MATH  Google Scholar 

  12. M. H. Schultz, Rayleigh-Ritz-Galerkin Methods for Multidimensional Problems. SIAM J. Numer. Anal.6 (1969) 523–538.

    Article  MathSciNet  MATH  Google Scholar 

  13. M. Zlamal, On the Finite Element Method Numer. Math.12 (1968) 394–409.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Herrn Prof. Dr. Dr. h. c.L. Collatz anläßlich seines 60. Geburtstages gewidmet

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nitsche, J. Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh.Math.Semin.Univ.Hambg. 36, 9–15 (1971). https://doi.org/10.1007/BF02995904

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02995904

Navigation