An element subdivision method for singular domain integrals  based on   feature partition technique

Abstract

Abstract: Aiming at the difficulty of solving the singular integrals by traditional algorithms, an adaptive element subdivision method for singular domain integrals based on feature partition technique is presented. The element subdivision method is based on binary-tree data structure, which is applicable to arbitrary shape volume elements with arbitrary locations of the source point. By using the techniques of the binary-tree subdivision scheme, construction of the projection cavities and the cavity projection algorithm, well-shaped patches can be obtained for singular domain integrals. Numerical examples demonstrate that the proposed method has much better accuracy and efficiency than conventional methods.

Key words: boundary element method, singular integrals, volume binary tree, feature partition, element subdivision

CLC Number:

O241.8

JIA Zhi-chao, WANG Fu-shun, GUO Qian-jian, YUAN Wei, WEI Zheng. An element subdivision method for singular domain integrals based on feature partition technique[J]. Journal of Lanzhou University of Technology, 2024, 50(3): 143-150.

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An element subdivision method for singular domain integrals based on feature partition technique

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