The optimal symmetrical points for polynomial interpolation of real functions in the tetrahedron

Computer Methods in Applied Mechanics and Engineering

Volumn 137, Issue 1, 1996, Pages 89-94

  Chen, Qi ^a   Babuška, Ivo ^b,c  

^a SFA INC   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

^c UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; FUNCTIONS; OPTIMIZATION; POLYNOMIALS; THREE DIMENSIONAL;

OPTIMAL SYMMETRICAL POINTS; POLYNOMIAL INTERPOLATION; TETRAHEDRON;

INTERPOLATION;

EID: 0030260297     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(96)01051-1     Document Type: Article

References (7)

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3. Q. Chen and I. Babuška, Approximate optimal points for polynomial interpolation of a real function in an interval and in a triangle, Comput. Methods Appl. Mech. Engrg. 128 (1995) 405-417.
4. K. Chung and T. Yao, On lattices admitting unique Lagrange interpolations, SIAM J. Numer. Anal. 14 (1977) 735-743.
5. T.J.R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1987).
6. Bl. Sendov and A. Andreev, Approximation and interpolation theory, in: P.G. Ciarlet and J.L. Lions, eds., Handbook of Numerical Analysis, Vol. III (North-Holland, Amsterdam, 1994) 223-462.
7. B.A. Szabó and I. Babuška, Finite Element Analysis (Wiley, New York, 1991).