This study proposes an explicit time-integration scheme for the scaled boundary finite element method applied to unbounded domains, leveraging the acceleration unit-impulse response formulation and a block-wise mass lumping strategy to enhance computational efficiency. Additionally, adopting an extrapolation scheme in the calculation of the linearly varying acceleration response and exploiting the asymptotically linear behavior by truncating the convolution integral leads to a robust and efficient explicit time-integration scheme. The proposed methodology is validated through numerical examples, demonstrating its potential for large-scale wave propagation problems in unbounded and heterogeneous media.

中文翻译：

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使用缩放边界有限元法对无界域中的波传播进行显式时域分析


本研究提出了一种应用于无界域的缩放边界有限元方法的显式时间积分方案，利用加速单位脉冲响应公式和分块质量集总策略来提高计算效率。此外，在计算线性变化的加速度响应时采用外推方案，并通过截断卷积积分来利用渐近线性行为，从而产生鲁棒且高效的显式时间积分方案。所提出的方法通过数值示例进行了验证，证明了其在无界和异构介质中解决大规模波传播问题的潜力。