Quasi-optimal estimates for finite element approximations using orlicz norms

Mathematics of Computation

Volumn 49, Issue 179, 1987, Pages 17-23

  Duran, Ricardo G ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966235841     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1987-0890251-6     Document Type: Article

References (9)

1. P. G. CIARLET, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978.
2. T. K. Donaldson, N. S. Trudinger, " Orlicz-Sobolev spaces and imbedding theorems, " J. Fund. Anal., v. 8, 1971, p. 52-75.
3. D. Gilbarg, N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer Verlag, Berlin and New York, 1983.
4. R. Haverkamp, "Eine Aussage zur Lx-Stabilitat und zur genauen Konvergenzordnung der Projektionen, " Sonderforschungsbereich 72, Approximation und Optimierung, Universitat Bonn, 1983.
5. F. John, L. Nirenberg, "On functions of bounded mean oscillation, " Comm. Pure Appl. Math., v. 14, 1961, p. 415-426.
6. J. Peetre, "On convolution operators leaving Lpx invariant, " Ann. Mat. Pura Appl. v. 72, 1966, p. 295-304.
7. R. Rannacher, "Zur Konvergenz linearer finiter Elemente beim Dirichlet-Problem, " Math. Z., v. 149, 1976, p. 69-77.
8. R. Rannacher, R. Scott, "Some optimal error estimates for piecewise linear finite element approximations, " Math. Comp., v. 38, 1982, p. 437-445.
9. A. H. Schatz, L. B. Wahlbin, "On the quasi-optimality in L of the projection into finite element spaces, " Math. Comp., v. 38, 1982, p. 1-22