Research Article
Numerical Integration of Some Arbitrary Functions over an Ellipsoid by Discretizing into Hexahedral Elements for Biomaterial Studies
Table 7
Gaussian quadrature points for ellipse to 10-noded tetrahedron (transformed into hexahedron).
| u | | | |
| 0.2279 | 0.2279 | 0.2279 | 0.0022 | 0.2738 | 0.2738 | 0.0611 | 0.0036 | 0.2738 | 0.0611 | 0.2738 | 0.0036 | 0.0611 | 0.2738 | 0.2738 | 0.0036 | 0.3417 | 0.07338 | 0.0734 | 0.0062 | 0.0734 | 0.3417 | 0.0734 | 0.0062 | 0.0734 | 0.0734 | 0.3417 | 0.0062 | 0.0916 | 0.0916 | 0.0916 | 0.0010 | 0.3163 | 0.2279 | 0.2279 | 0.0022 | 0.3912 | 0.2738 | 0.0611 | 0.0036 | 0.3912 | 0.2738 | 0.2738 | 0.0036 | 0.3912 | 0.0611 | 0.2738 | 0.0036 | 0.5115 | 0.3417 | 0.0734 | 0.0062 | 0.5115 | 0.0734 | 0.0734 | 0.0062 | 0.5115 | 0.0734 | 0.3417 | 0.0062 | 0.7253 | 0.0916 | 0.0916 | 0.0010 | 0.2279 | 0.3163 | 0.2279 | 0.0022 | 0.2738 | 0.3912 | 0.0610 | 0.0036 | 0.0610 | 0.3912 | 0.2738 | 0.0036 | 0.2738 | 0.3912 | 0.2738 | 0.0036 | 0.0734 | 0.5115 | 0.0734 | 0.0062 | 0.3417 | 0.5115 | 0.0734 | 0.0062 | 0.0734 | 0.5115 | 0.3417 | 0.0062 | 0.0916 | 0.7253 | 0.0916 | 0.0010 | 0.2279 | 0.2279 | 0.3163 | 0.0022 | 0.2738 | 0.2738 | 0.3912 | 0.0036 | 0.0611 | 0.2738 | 0.3912 | 0.0036 | 0.2738 | 0.0611 | 0.3912 | 0.0036 | 0.0734 | 0.3417 | 0.5115 | 0.0062 | 0.3417 | 0.0734 | 0.5115 | 0.0062 | 0.0734 | 0.0734 | 0.5115 | 0.0062 | 0.0916 | 0.0916 | 0.7253 | 0.0010 |
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