论文标题

Helmholtz问题在三个维度上的Fem-Bem迫击炮耦合

FEM-BEM mortar coupling for the Helmholtz problem in three dimensions

论文作者

Mascotto, Lorenzo, Melenk, Jens Markus, Perugia, Ilaria, Rieder, Alexander

论文摘要

我们提出了一种具有变化速度的介质中时间谐波声散射的FEM-BEM耦合策略。耦合是借助砂浆变量实现的,这是耦合边界上的阻抗轨迹。结果表明,所产生的曲线形式满足了花园不等式。为足够细的网格显示了准最佳收敛。数值示例证实了理论收敛结果。

We present a FEM-BEM coupling strategy for time-harmonic acoustic scattering in media with variable sound speed. The coupling is realized with the aid of a mortar variable that is an impedance trace on the coupling boundary. The resulting sesquilinear form is shown to satisfy a Garding inequality. Quasi-optimal convergence is shown for sufficiently fine meshes. Numerical examples confirm the theoretical convergence results.

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