论文标题
伪造特征值问题的伪符号公式的虚拟元素近似
A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem
论文作者
论文摘要
在本文中，我们分析了一种虚拟元素方法（VEM），以制定特征值问题的伪色素。该公式可以消除速度和压力，从而导致椭圆形的配方，其中唯一未知的是伪张量。速度和压力可以通过后处理来恢复。调整非压缩操作者理论，我们证明我们的方法提供了频谱的正确近似，并且是虚假的。我们通过一些数值测试证明了先验误差估计，并通过最佳顺序进行确认。
In this paper we analyze a virtual element method (VEM) for a pseudostress formulation of the Stokes eigenvalue problem. This formulation allows to eliminate the velocity and the pressure, leading to an elliptic formulation where the only unknown is the pseudostress tensor. The velocity and pressure can be recovered by a post-process. Adapting the non-compact operator theory, we prove that our method provides a correct approximation of the spectrum and is spurious free. We prove a priori error estimates, with optimal order, which we confirm with some numerical tests.
