Effective dimensional reduction algorithm for eigenvalue problems for thin elastic structures: A paradigm in three dimensions

DOI10.1073/pnas.97.3.967zbMath0995.74073OpenAlexW1978110679WikidataQ34994710 ScholiaQ34994710MaRDI QIDQ4488630

Leonidas S. Xanthis, Evgueni E. Ovtchinnikov

Publication date: 21 October 2002

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.97.3.967

zbMATH Keywords

finite element methodthree-dimensional elasticityiterative methodsvibrationeigenvalue problemsshellrodpreconditioning techniqueminimal eigenvaluethin elastic structuresdimensional reduction algorithm

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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Cites Work

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