| Autor: |
D. N. Contractor, Rajesh Srivastava |
| Rok vydání: |
1992 |
| Předmět: |
|
| Zdroj: |
Applied Mathematical Modelling. 16:282-290 |
| ISSN: |
0307-904X |
| DOI: |
10.1016/0307-904x(92)90046-6 |
| Popis: |
The numerical integration of three-dimensional boundary element method kernels involving R -1 and higher negative powers of R is reduced to a line integral by expressing the integrand in terms of shape functions, analytically integrating with respect to one shape function and numerically integrating with respect to the second shape function. This method results in a fully analytical solution of the integral for the singular case, when the source point is at one of the corners of the triangle. Considerable reduction in the computational effort is achieved along with more accurate results than those obtained using the areal Gaussian integration. The method is shown to work well for elements with a large aspect ratio and also for calculations of the basic variable at a source point near the boundary of elements. For points very close to the boundary it requires more integration points compared with some recently proposed schemes but far fewer compared with the standard Gauss integration. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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