The stability in L$$^q$$ of the L$$^2$$-projection into finite element function spaces.(English)Zbl 0297.41022

MSC:

 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
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References:

 [1] Ciarlet, P. G.: Sur l’élément de Clough et Toucher. To appear [2] Ciarlet, P. G., Raviart, P. A.: Interpolation theory over curved elements, with applications to finite element methods. Computer Methods in Applied Mechanics and Engineering.1, 217-249 (1972) · Zbl 0261.65079 [3] Ciarlet, P. G., Raviart, P. A.: General Lagrange and Hermite interpolation inR n with applications to finite element methods. Arch. Rational Mech. Anal.46, 177-199 (1972) · Zbl 0243.41004 [4] Douglas, J., Jr., Dupont, T., Wahlbin, L.: OptimalL ? error estimates for Galerkin approximations to solutions of two point boundary value problems. To appear in: Mathematics of Computation, April 1975. · Zbl 0306.65053 [5] Thorin, G. O.: Convexity theorems generalizing those of M. Riesz and Hadamard with some applications. Medd. Lunds Univ. Matem. Sem.9 (1948) · Zbl 0034.20404 [6] Zienkiewicz, O. C.: The finite element method in engineering scince. London: McGraw-Hill 1971 · Zbl 0237.73071 [7] Zygmund, A.: Trigonometric series. New York: Cambridge University Press 1959 · Zbl 0085.05601
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