Abstract This paper extends the applicability of the combined use of the virtual element method (VEM) and the boundary element method (BEM), recently introduced to solve the coupling of linear elliptic equations in divergence form with the Laplace equation, to the case of acoustic scattering problems in 2D and 3D. The well-posedness of the continuous and discrete formulations are established, and then Cea-type estimates and consequent rates of convergence are derived.

中文翻译：

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用于解决声学散射问题的虚拟元和边界元方法的耦合

摘要 本文将虚拟元法 (VEM) 和边界元法 (BEM) 结合使用的适用性扩展到最近引入的用于求解发散形式的线性椭圆方程与拉普拉斯方程的耦合的情况。 2D 和 3D 中的散射问题。建立连续和离散公式的适定性，然后推导出 Cea 类型估计和随​​之而来的收敛速度。