In this paper we introduce an abstract setting for the convergence analysis of the virtual element approximation of an acoustic vibration problem. We discuss the effect of the stabilization parameters and remark that in some cases it is possible to achieve optimal convergence without the need of any stabilization. This statement is rigorously proved for lowest order triangular element and supported by several numerical experiments.

翻译：本文针对声学振动问题的虚拟元逼近收敛性分析，提出了一个抽象框架。我们探讨了稳定化参数的影响，并指出在某些情况下无需任何稳定化即可实现最优收敛。这一结论对最低阶三角形单元得到了严格证明，并通过多个数值实验予以验证。