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FEM–BEM mortar coupling for the Helmholtz problem in three dimensions
Computers & Mathematics with Applications ( IF 2.9 ) Pub Date : 2020-06-05 , DOI: 10.1016/j.camwa.2020.04.014
Lorenzo Mascotto , Jens M. Melenk , Ilaria Perugia , Alexander Rieder

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 Gårding inequality. Quasi-optimal convergence is shown for sufficiently fine meshes. Numerical examples confirm the theoretical convergence results.



中文翻译:

FEM-BEM灰浆联轴器在三个维度上解决了亥姆霍兹问题

我们提出了一种FEM-BEM耦合策略,用于在声速可变的介质中进行时谐声散射。借助砂浆变量实现耦合,该变量是耦合边界上的阻抗迹线。结果表明,半线性形式满足戈丁不等式。对于足够细的网格,显示了最佳收敛。数值算例验证了理论收敛结果。

更新日期:2020-06-05
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