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Nitsche, J.

Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces). (German) Zbl 0229.65079

Abh. Math. Semin. Univ. Hamb. 36, 9-15 (1971).
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Cited in 588 Documents

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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\textit{J. Nitsche}, Abh. Math. Semin. Univ. Hamb. 36, 9--15 (1971; Zbl 0229.65079)
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References:

[1] S. Agmon, Lectures on Elliptic Boundary Value Problems. D. Van Nostrand Comp., Inc. Princeton, New Jersey, New York 1965. · Zbl 0142.37401
[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. · Zbl 0204.11102
[7] T. Miyoshi, On the Convergence of Rith-Galerkin’s Method. Publ. Res. Inst. Math. Sci. Ser. A4 (1968/69), 149–177. · Zbl 0276.65053
[8] J. Nitsche, Ein Kriteriums für die Quasi-Optimalität des Ritzschen Verfahrens. Numer. Math.11 (1968) 346–384. · Zbl 0175.45801
[9] J. Nitsche, Lineare Spline-Funktionen und die Methoden von Ritz für elliptische Randwertprobleme. Arch. for Rat. Mech. and Anal.36 (1970) 348–355. · Zbl 0192.44503
[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.
[11] M. Schechter, OnL p Estimates and Regularitys. Math. Scand.13 (1963) 47–69. · Zbl 0131.09505
[12] M. H. Schultz, Rayleigh-Ritz-Galerkin Methods for Multidimensional Problems. SIAM J. Numer. Anal.6 (1969) 523–538. · Zbl 0211.19302
[13] M. Zlamal, On the Finite Element Method Numer. Math.12 (1968) 394–409. · Zbl 0176.16001
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