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Further research on the performance of consistent mass matrices using BEM for symmetric/nonsymmetric formulations

机译:使用边界元法对称/非对称公式的一致质量矩阵性能的进一步研究

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This paper deals with the performance of consistent mass matrices for the 2-D scalar wave propagation problem using the Boundary Element Method (BEM), and proposes a new global functional set of base functions capable of avoiding domain integrations, suitable for symmetric and nonsymmetric formulations. The method can be applied to arbitrary shaped two-dimensional domains divided into triangular, rectangular and arbitrary shaped quadrilateral linear or curvilinear (e.g. circular) internal cells. The theory is sustained by numerical results for a rectangular and a circular acoustical cavity under Neumann and Dirichlet boundary conditions.
机译:本文使用边界元法(BEM)研究了二维标量波传播问题中一致质量矩阵的性能,并提出了一种新的能够避免域积分的全局基本函数集,适用于对称和非对称公式。该方法可以应用于任意形状的二维域,分为三角形、矩形和任意形状的四边形线性或曲线(例如圆形)内部单元。该理论得到了诺依曼和狄利克雷边界条件下矩形和圆形声腔的数值结果的支持。

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