Uniform error estimates for certain narrow lagrange finite elements

Mathematics of Computation

Volumn 63, Issue 207, 1994, Pages 105-119

  Al Shenk, N ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84968465075     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1994-1226816-5     Document Type: Article

References (9)

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2. P. Jamet, Estimations d'erreur pour des elements finis droits presque dégénérés, RAIRO Anal. Numér. 10 (1976), 43-60.
3. E. Barnhill and J. A. Gregory, Interpolation remainder theory from Taylor expansions on triangles, Numer. Math. 25 (1976), 401-408.
4. J. A. Gregory, Error bounds for linear interpolation on triangles, The Mathematics of Finite Elements and Applications, II (J. R. Whiteman, ed.), Academic Press, London, 1976, pp. 163-170.
5. M. H. Schultz, Spline analysis, Prentice-Hall, New York, 1973.
6. L. Dechevski and E. Quak, On the Bramble-Hilbert lemma, Numer. Funct. Anal. Optim. 11 (1990), 485-495.
7. T. Dupont and R. Scott, Constructive polynomial approximation in Sobolev spaces, Recent Advances in Numerical Analysis (C. de Boor and G. H. Golub, eds.), Academic Press, New York, 1978, pp. 31-44.
8. N. A. Shenk, An elementary derivation of finite element error estimates, submitted to SIAM Rev.
9. M. Abramowitz and I. A. Stegun, eds., Handbook of mathematical functions, Dover, New York, 1964.