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W2277348547 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." @default.
W2277348547 created "2016-06-24" @default.
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W2277348547 date "2016-04-01" @default.
W2277348547 modified "2023-10-18" @default.
W2277348547 title "Computable upper and lower bounds on eigenfrequencies" @default.
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W2277348547 doi "https://doi.org/10.1016/j.cma.2016.01.002" @default.
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