A shape optimization approach based on isogeometric wideband fast multipole boundary element method (IGA WFMBEM) in 2D acoustics is developed in this study. The key treatment is shape sensitivity analysis by using the adjoint variable method under isogeometric analysis (IGA) conditions. A set of efficient parameters of the wideband fast multipole method has been identified for IGA boundary element method. Shape optimization is performed by applying the method of moving asymptotes. IGA WFMBEM is validated through an acoustic scattering example. The proposed optimization approach is tested on a sound barrier and two multiple structures to demonstrate its potential for engineering problems.

中文翻译：

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基于伴随变量法的等几何宽带快速多极边界元法声形优化

本研究开发了一种基于等几何宽带快速多极边界元法（IGA WFMBEM）的二维声学形状优化方法。关键处理是在等几何分析（IGA）条件下使用伴随变量法进行形状敏感性分析。为IGA边界元法确定了一组宽带快速多极子法的有效参数。通过应用移动渐近线的方法进行形状优化。IGA WFMBEM 通过声学散射示例进行验证。所提出的优化方法在声屏障和两个多重结构上进行了测试，以证明其解决工程问题的潜力。