Quadrature rules for numerical integration over triangles and tetrahedra

IEEE Antennas and Propagation Magazine

Volumn 38, Issue 3, 1996, Pages 100-102

  Savage, J Scott ^a   Peterson, Andrew F ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ELECTROMAGNETIC FIELD THEORY; ESTIMATION; FINITE ELEMENT METHOD; FUNCTION EVALUATION; INTEGRAL EQUATIONS; POLYNOMIALS;

QUADRATURE RULES; TETRAHEDRAS;

ELECTROMAGNETIC WAVES;

EID: 0030165129     PISSN: 10459243     EISSN: None     Source Type: Journal    
DOI: 10.1109/74.511963     Document Type: Article

References (8)

1. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers. Cambridge, UK, Cambridge University Press, 1983.
2. P. C Hammer, O. J. Marlowe, and A. H. Stroud, "Numerical integration over Simplexes and cones," Math, Tabl, Natn. Res. Coun. Wash., 1956, pp. 130-137.
3. P. Silvester, "Symmetric quadrature formulae for simplexes," Mathematics of Computations, 1970, pp 95-100.
4. G. R. Cowper, "Gaussian quadrature formulas for triangles," Int. Journal Numer. Meth. Eng., 1973, pp. 405-408.
5. D. A. Dunavant, "High degree efficient symmetrical Gaussian quadrature rules for the triangle," Int. Journal Numer. Meth. Eng., 1985, pp. 1129-1148.
6. R. Cools and P. Rabinowitz, "Monomial cubature rules since 'Stroud:' a compilation," J. Computational Appl. Math., 1993, pp. 309-326.
7. P. Keast, "Moderate-degree tetrahedral quadrature formulas," Computer Meth. Appl. Mechanics Eng., 1986, pp. 339-348.
8. K. S. Sunder and R. A Cookson, "Integration points for triangles and tetrahedrons obtained from the Gaussian quadrature points for a line," Computers and Structures, 1985, pp. 881-885.