3RD DEGREE POLYNOMIAL TRANSFORMATION FOR BOUNDARY-ELEMENT INTEGRALS -FURTHER IMPROVEMENTS

Citation
Jcf. Telles et Rf. Oliveira, 3RD DEGREE POLYNOMIAL TRANSFORMATION FOR BOUNDARY-ELEMENT INTEGRALS -FURTHER IMPROVEMENTS, Engineering analysis with boundary elements, 13(2), 1994, pp. 135-141
Citations number
14
Categorie Soggetti
Engineering,Mathematics
ISSN journal
09557997
Volume
13
Issue
2
Year of publication
1994
Pages
135 - 141
Database
ISI
SICI code
0955-7997(1994)13:2<135:3DPTFB>2.0.ZU;2-D
Abstract
The first author has previously developed a third degree polynomial co ordinate transformation which improves the accuracy of numerical quadr ature schemes typical of boundary element implementations. This transf ormation is now extended to include additional integrand variations an d kernels of order ln(1/r),1/r,1/r2 and 1/r3 are discussed. The optimi zed parameter which governs the transformation is presented in tabular form for several source to element minimum distances.