Guaranteed Lower Bounds for Eigenvalues of Elliptic Operators
Guaranteed Lower Bounds for Eigenvalues of Elliptic Operators
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DOI：
10.1007/s10915-015-0126-0
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发表时间：
2015-11
影响因子：
2.5
通讯作者：
Jun-Jue Hu;Yunqing Huang;R. Ma
中科院分区：
文献类型：
--
作者：
Jun-Jue Hu;Yunqing Huang;R. Ma
本文给出了n维2 m阶椭圆算子特征值的保下界的一种方法，特别是变系数椭圆算子的保下界。该方法是基于文献中相应的Morley-Wang-Xu元素和一种统一的方法来估计与Morley-Wang-Xu元素插值的误差估计有关的显式常数。
In this paper, we provide a method to produce guaranteed lower bounds for eigenvalues of 2m-th order elliptic operators inndimensions for, especially for elliptic operators with variable coefficients. This method is based on the corresponding Morley–Wang–Xu elements in literature and a unified way to estimate the explicit constants related to theerror estimates for the interpolation of Morley–Wang–Xu elements.