Two-dimensional boundary element kernel integration using series expansions

✍ Scribed by M.H. Aliabadi; W.S. Hall

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 261 KB
• Volume: 6
• Category: Article
• ISSN: 0955-7997
• DOI: 10.1016/0955-7997(89)90028-3

✦ Synopsis

Series expansions are applied to integrations arising in the two dimensional Boundary Element Method. It is shown that, for the derivative kernel, exact integrals can be obtained for quadratic and higher order shape functions. It is proved incidentally that the derivative kernel contains no singularity.

For the logarithmic kernel the series expansions are truncated and used to integrate the first singular term and some early, badly behaved terms, with the well behaved remainder being integrated numerically. A test example shows how term by term subtraction leads quickly to an accurate solution.