A high-order discontinuous Galerkin approach to the elasto-acoustic problem
A high-order discontinuous Galerkin approach to the elasto-acoustic problem
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DOI：
10.1016/j.cma.2019.112634
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发表时间：
2018-03
影响因子：
7.2
通讯作者：
P. Antonietti;F. Bonaldi;I. Mazzieri
中科院分区：
文献类型：
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作者：
P. Antonietti;F. Bonaldi;I. Mazzieri
我们通过在多边形和多面体网格上采用不连续伽辽金方案来解决由弹性波和声波传播现象耦合引起的演化问题的空间离散化。该问题的耦合性质归因于在固体（弹性）域和流体（声学）域之间的界面处施加的适当传输条件。我们陈述并证明了问题的强公式的适定性结果，提出了半离散公式的稳定性分析，最后证明了在合适的（网格相关的）能量范数下所得公式的先验 h p 版本误差估计。我们还讨论了用于获得完全离散系统的时间积分方案。通过在二维环境中进行的数值实验验证了收敛结果。
We address the spatial discretization of an evolution problem arising from the coupling of elastic and acoustic wave propagation phenomena by employing a discontinuous Galerkin scheme on polygonal and polyhedral meshes. The coupled nature of the problem is ascribed to suitable transmission conditions imposed at the interface between the solid (elastic) and fluid (acoustic) domains. We state and prove a well-posedness result for the strong formulation of the problem, present a stability analysis for the semi-discrete formulation, and finally prove an a priori h p-version error estimate for the resulting formulation in a suitable (mesh-dependent) energy norm. We also discuss the time integration scheme employed to obtain the fully discrete system. The convergence results are validated by numerical experiments carried out in a two-dimensional setting.