Guaranteed Lower Bounds for Eigenvalues of Elliptic Operators

Jun Hu, Yunqing Huang, Rui Ma*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

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 languageEnglish
Pages (from-to)1181-1197
Number of pages17
JournalJournal of Scientific Computing
Volume67
Issue number3
DOIs
Publication statusPublished - 1 Jun 2016
Externally publishedYes

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