论文标题
CVEM-BEM与2D外泊松问题的脱钩订单
CVEM-BEM coupling with decoupled orders for 2D exterior Poisson problems
论文作者
论文摘要
对于2D外部Dirichlet Poisson问题的解决方案，我们通过使用解耦的近似顺序提出了弯曲的虚拟元素方法（CVEM）与边界元素方法（BEM）的耦合。我们在能量和弱$ \ textit {l}^\ text {2} $ - norm中提供了最佳收敛误差估计，其中CVEM和BEM对错误的贡献分开。这允许利用CVEM的高阶灵活性通过使用低阶BEM检索准确的离散解决方案。数值结果证实了先验的估计，并显示了所提出方法的有效性。
For the solution of 2D exterior Dirichlet Poisson problems we propose the coupling of a Curved Virtual Element Method (CVEM) with a Boundary Element Method (BEM), by using decoupled approximation orders. We provide optimal convergence error estimates, in the energy and in the weaker $\textit{L}^\text{2}$-norm, in which the CVEM and BEM contributions to the error are separated. This allows taking advantage of the high order flexibility of the CVEM to retrieve an accurate discrete solution by using a low order BEM. The numerical results confirm the a priori estimates and show the effectiveness of the proposed approach.
