Literatur
S. Agmon, Lectures on Elliptic Boundary Value Problems. D. Van Nostrand Comp., Inc. Princeton, New Jersey, New York 1965.
J. P. Aubin, Approximation des espaces de distributions et des opérateurs diffeérentiels. Bull. Soc. math. France. Mémoire12 1967 139p.
I. Babuska, Numerical Solution of Boundary Value Problems by the Perturbated Variational Principle. Techn. Note BN-624, University of Maryland, 1969.
I. Babuska, Error-Bounds for Finite Element Method. Techn. Note BN-630. Univ. of Maryland, 1969.
I. Babuska, Approximation by Hill Functions. To appear.
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.
T. Miyoshi, On the Convergence of Rith-Galerkin’s Method. Publ. Res. Inst. Math. Sci. Ser. A4 (1968/69), 149–177.
J. Nitsche, Ein Kriteriums für die Quasi-Optimalität des Ritzschen Verfahrens. Numer. Math.11 (1968) 346–384.
J. Nitsche, Lineare Spline-Funktionen und die Methoden von Ritz für elliptische Randwertprobleme. Arch. for Rat. Mech. and Anal.36 (1970) 348–355.
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.
M. Schechter, OnL p Estimates and Regularitys. Math. Scand.13 (1963) 47–69.
M. H. Schultz, Rayleigh-Ritz-Galerkin Methods for Multidimensional Problems. SIAM J. Numer. Anal.6 (1969) 523–538.
M. Zlamal, On the Finite Element Method Numer. Math.12 (1968) 394–409.
Author information
Authors and Affiliations
Additional information
Herrn Prof. Dr. Dr. h. c.L. Collatz anläßlich seines 60. Geburtstages gewidmet
Rights 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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02995904