A new method for numerical evaluation of nearly singular integrals over high-order geometry elements in 3D BEM

作者：

Highlights：

• We present a new indirect regularized boundary element formulation.

• A new distance formula for high-order geometry elements is constructed.

• The exponential transformation is developed to remove the near singularities.

• The efficiency and applicability of the scheme are verified by some examples.

摘要

•We present a new indirect regularized boundary element formulation.•A new distance formula for high-order geometry elements is constructed.•The exponential transformation is developed to remove the near singularities.•The efficiency and applicability of the scheme are verified by some examples.

论文关键词：BEM,Nearly singular integrals,High-order geometry elements,Transformation,3D potential problems

论文评审过程：Received 11 October 2013, Revised 20 May 2014, Available online 16 September 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.08.027