Article ID Journal Published Year Pages File Type
497614 Computer Methods in Applied Mechanics and Engineering 2016 17 Pages PDF
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
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