Interpolation error estimates of a modified 8-node serendipity finite element

Numerische Mathematik

Volumn 85, Issue 3, 2000, Pages 503-524

  Zhang, Jing ^a   Kikuchi, Fumio ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034418603     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110000104     Document Type: Article

References (10)

1. Adams, R. (1975): Sobolev Spaces. Academic Press. New York
2. Brenner, S.C., Scott, L.R. (1994): The Mathematical Theory of Finite Element Methods. Springer-Verlag, New York, Berlin, Heidelberg, Ch. 4
3. Ciarlet, P.G. (1978): The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam, New York, Oxford
4. Jamet, P. (1976): Estimations d'erreur d'interpolation dans un domaine variable et application aux élements finis quadrilatéraux dégénérés, in méthodes numériques en mathématiques appliquées, pp. 55-100, Presses de l'Université de Montréal
5. Kikuchi, F. (1994): Explicit expressions of shape functions for the modified 8-node serendipity element. Commun. Num. Meth. Eng. 10, 711-716
6. Kikuchi, P., Okabe, M., Fujio, H. (1999): Modification of the 8-node serendipity finite element. Comput. Methods Appl. Mech. Engrg. 179, 91-109
7. MacNeal, R.H., Harder, R.L. (1992): Eight nodes or nine? Int. J. Num. Meth. Eng. 33, 1049-1058
8. MacNeal, R.H. (1994): Finite Elements: Their Design and Performance. Marcel Dekker, Inc., New York
9. Strang, G., Fix, G.J. (1973): An Analysis of the Finite Element Method. Prentice-Hall, Inc., Englewood Cliffs
10. Ženis̃ek, A., Vanmaele, M. (1995): The interpolation theorem for narrow quadrilateral isoparametric finite elements. Numer. Math. 72, 123-141