论文标题
Laplacian操作员的光谱问题混合VEM离散化的先验错误分析
A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator
论文作者
论文摘要
本工作的目的是通过虚拟元素方法以混合形式得出拉普拉斯特征值问题的错误估计。借助该理论的非压缩操作员，我们证明了所提出的方法是虚假的和收敛的。我们证明了特征值和本征函数的最佳顺序误差估计。最后，我们报告了数值测试，以确认理论结果以及严格的计算分析，以分析稳定在频谱的计算中的影响。
The aim of the present work is to derive a error estimates for the Laplace eigenvalue problem in mixed form, by means of a virtual element method. With the aid of the theory for non-compact operators, we prove that the proposed method is spurious free and convergent. We prove optimal order error estimates for the eigenvalues and eigenfunctions. Finally, we report numerical tests to confirm the theoretical results together with a rigorous computational analysis of the effects of the stabilization in the computation of the spectrum.
