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Subdivision Surfaces — Boundary Element Accelerated by Fast Multipole for the Structural Acoustic Problem
Journal of Theoretical and Computational Acoustics ( IF 1.9 ) Pub Date : 2020-09-22 , DOI: 10.1142/s2591728520500115
Leilei Chen 1 , Chuang Lu 2 , Wenchang Zhao 2 , Haibo Chen 2 , Changjun Zheng 3
Affiliation  

A novel boundary element method based on subdivision surfaces is applied to simulate wave scattering problems governed by the Helmholtz equation. The Loop subdivision scheme widely used in the CAD (computer aided design) field is applied to represent the geometric model and approximate physical field variables. The novelty of this work is that it is the first time to apply the fast multipole method for subdivision surface boundary element method to accelerate the solution of the system of equations. It is demonstrated that the subdivision surfaces boundary element method based on the Loop subdivision scheme performs well in terms of accuracy, and automatically provides multiresolution subdivision hierarchy models to meet the requirements of different precision. This approach is then applied to several real-world applications to illustrate the potential for integrated engineering analysis.

中文翻译:

细分曲面——结构声学问题的快速多极加速边界元

一种新的基于细分曲面的边界元方法被应用于模拟由亥姆霍兹方程控制的波散射问题。应用在 CAD(计算机辅助设计)领域广泛使用的 Loop 细分方案来表示几何模型和近似物理场变量。该工作的新颖之处在于首次将快速多极子方法应用于细分曲面边界元法来加速方程组的求解。证明了基于Loop细分方案的细分曲面边界元法在精度方面表现良好,并自动提供多分辨率细分层次模型以满足不同精度的要求。
更新日期:2020-09-22
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