An isogeometric boundary element method using adaptive integral method for 3D potential problems

作者：

Highlights：

• A general method is proposed to calculate the nearly singular integrals appearing in the 3D IGABEM.

• The boundary element integrations can be computed easily and effectively at optimal computational cost.

• The adaptive algorithm can be used to cope with the common situation where the sizes of adjacent cells are significantly different.

• The power series expansion method is expanded to compute the singular integrals appearing in 3D IGABEM.

摘要

•A general method is proposed to calculate the nearly singular integrals appearing in the 3D IGABEM.•The boundary element integrations can be computed easily and effectively at optimal computational cost.•The adaptive algorithm can be used to cope with the common situation where the sizes of adjacent cells are significantly different.•The power series expansion method is expanded to compute the singular integrals appearing in 3D IGABEM.

论文关键词：Potential problem,3D IGABEM,Adaptive integration method,Power series expansion method

论文评审过程：Received 19 October 2016, Revised 30 December 2016, Available online 18 January 2017, Version of Record 28 January 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2016.12.038