# Duffy transformation for singular integration

**URL:** <https://bempp.discourse.group/t/duffy-transformation-for-singular-integration/185>\
**Category:** Uncategorized\
**Created:** [21 April 2023 09:08 UTC](https://bempp.discourse.group/t/duffy-transformation-for-singular-integration/185 "2023-04-21T09:08:02Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![akalinin](https://yyz2.discourse-cdn.com/free1/user_avatar/bempp.discourse.group/akalinin/32/45_2.png) [@akalinin](https://bempp.discourse.group/u/akalinin)\
**Post date:** [21 April 2023 09:08 UTC](https://bempp.discourse.group/t/duffy-transformation-for-singular-integration/185/1 "2023-04-21T09:08:02Z")

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Hello! Thanks for the great project! I have a question about singular and hypersingular integration for the Laplace kernel.

As far as I understand, the BEMPP uses the Duffy transformation for integration. Could you please tell me if there is a scientific paper with a detalied description of this method?

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<div class="post-metadata">

**Author:** ![akalinin](https://yyz2.discourse-cdn.com/free1/user_avatar/bempp.discourse.group/akalinin/32/45_2.png) [@akalinin](https://bempp.discourse.group/u/akalinin)\
**Post date:** [25 April 2023 07:25 UTC](https://bempp.discourse.group/t/duffy-transformation-for-singular-integration/185/2 "2023-04-25T07:25:05Z")

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Finally, I found the description of the method. Details are given in the book Sauter, S. A., Schwab, C., Sauter, S. A., & Schwab, C. (2011). Boundary element methods, paragraph 5.2.4