论文标题
时间域多个迹线边界积分公式，用于2D中的声波散射
Time-Domain Multiple Traces Boundary Integral Formulation for Acoustic Wave Scattering in 2D
论文作者
论文摘要
我们提出了一种新的计算方案，以解决复合散射器上的声波传递问题，即具有连接或三个点的可穿透障碍物。我们的连续问题被施加在两个和三个维度上有效的多个痕迹时域边界积分公式。从数值上讲，我们的二维不合格空间离散化使用基于第二类Chebyshev多项式的光谱元素，而在复杂的频域中进行了卷积正交方案。计算实验揭示了多种复杂域的多阶段和多阶段卷积的预期收敛结果。
We present a novel computational scheme to solve acoustic wave transmission problems over composite scatterers, i.e. penetrable obstacles possessing junctions or triple points. Our continuous problem is cast as a multiple traces time-domain boundary integral formulation valid in two and three dimensions. Numerically, our two-dimensional non-conforming spatial discretization uses spectral elements based on second kind Chebyshev polynomials while a convolution quadrature scheme is performed in the complex frequency domain. Computational experiments reveal multistep and multistage convolution quadrature expected convergence results for a variety of complex domains.
