Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
497614 | Computer Methods in Applied Mechanics and Engineering | 2016 | 17 Pages |
Abstract
This paper is a revisit of the work [Ladevèze and Pelle, Int. J. Numer. Methods Engrg. 28 (1989)] where the goal here is to acquire guaranteed, accurate and computable bounds of eigenfrequencies through post-processing of conventional finite element results. To this end, a new theoretical quotient is introduced and thereafter, a practical way to deal with the new quotient is developed where the constitutive relation error estimation featured with guaranteed bounding property acts as a key role. Academic numerical examples are performed to check the accuracy of the bounds.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Li Wang, Ludovic Chamoin, Pierre Ladevèze, Hongzhi Zhong,