Numerical Integration Schemes for Hypersingular Integrals on the Real Line

##article.authors##

  • Alessandra Aimi
  • Mauro Diligenti

##semicolon##

https://doi.org/10.1685/

##article.abstract##

Modelling unbounded domains is an important issue in engineering. During these last years, elliptic boundary value problems on a half-plane, reformulated in terms of boundary integral equations on the real line, have been investigated. Here, using the fundamental solutions for a full-space, we consider hypersingular integral equations arising from Neumann 2D elliptic problems defined over unbounded domains with unbounded boundaries and we use a suitable Petrov-Galerkin infinite BEM approach as discretization technique. Numerical quadrature schemes are proposed to compute the involved integrals. Several results on half-planes and infinite strips are presented. [DOI: 10.1685/CSC06003] About DOI

##submission.downloads##

##submissions.published##

2007-10-01

##issue.issue##

##issue.vol## 2 (2007)

##section.section##

Articles

##submission.license##

Authors who submit to this journal agree to the following terms: a) Authors retain copyright over their work, while allowing the SIMAI to place this accepted work under a Creative Commons Attribution License (CC license), which allows others to freely access, use, and share the work, with an acknowledgement of the work's authorship. b) Authors are able to waive the terms of the CC license and enter into separate, additional contractual arrangements for the non-exclusive distribution and subsequent publication of this work (e.g., publish a revised version in a journal, post it to an institutional repository or publish it in a book). with an acknowledgement of its initial publication on “Communications to SIMAI Congress”. c) In addition, authors are encouraged to post and share their work online (e.g., in institutional repositories or on their website).