Abstract
In this paper, we provide a method to produce guaranteed lower bounds for eigenvalues of 2m-th order elliptic operators in n dimensions for m≤ n, 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 the L2 error estimates for the interpolation of Morley–Wang–Xu elements.
Original language | English |
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Pages (from-to) | 1181-1197 |
Number of pages | 17 |
Journal | Journal of Scientific Computing |
Volume | 67 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jun 2016 |
Externally published | Yes |
Keywords
- Eigenvalue problem
- Lower bound
- Nonconforming finite element
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Hu, J., Huang, Y., & Ma, R. (2016). Guaranteed Lower Bounds for Eigenvalues of Elliptic Operators. Journal of Scientific Computing, 67(3), 1181-1197. https://doi.org/10.1007/s10915-015-0126-0