×

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)
PDF BibTeX XML Cite
Full Text: DOI EuDML

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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.