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Über die punktweise Konvergenz finiter Elemente. (German) Zbl 0331.65073


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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References:

[1] Aziz, A. K., Babuska, I.: Survey Lectures on the Mathematical Foundations of the Finite Element Method. In: Aziz, A. K. (Editor). The Mathematical Foundations of the Finite Element Method with Application to Partial Differential Equations. Academic Press 1972
[2] Bramble, J. H., Hilbert, S. R.: Bounds for a Class of Linear Functionals with Application to Hermite Interpolation. Numer. Math.16, 362-369 (1971) · Zbl 0214.41405
[3] Ciarlet, P. G., Raviart, P.-A.: Maximum Principle and Uniform Convergence for the Finite Element Method. Comp. Meth. Appl. Mech. Eng.2, 17-31 (1973) · Zbl 0251.65069
[4] Morrey, B. M.: Multiple Integrals in the Calculus of Variations. Springer 1966 · Zbl 0142.38701
[5] Nevas, I.: Les méthodes directes en théorie des equation elliptiques. Masson 1967
[6] Nitsche, J. A.: Linear Spline-Functionen und die Methoden von Ritz für elliptische Randwertprobleme. Arch. Rational Mech. Anal.36, 348-355 (1970) · Zbl 0192.44503
[7] Strang, G., Fix, G. J.: An Analysis of the Finite Element Method. Prentice-Hall Inc. 1973 · Zbl 0356.65096
[8] Stummel, F.: Diskrete Konvergenz linearer Operatoren I. Math. Ann.190, 45-92 (1970) · Zbl 0203.45301
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