TY - JOUR
T1 - Least-squares formulations for eigenvalue problems associated with linear elasticity
AU - Bertrand, Fleurianne Herveline
AU - Boffi, Daniele
N1 - KAUST Repository Item: Exported on 2021-03-05
Acknowledgements: The first author gratefully acknowledges support by the Deutsche Forschungsgemeinschaft, Germany in the Priority Program SPP 1748 Reliable simulation techniques in solid mechanics, Development of non standard discretization methods, mechanical and mathematical analysis under the project number BE 6511/1-1.The second author is member of the INdAM Research group GNCS and his research is partially supported by IMATI/CNR and by PRIN/MIUR.
PY - 2021/2/15
Y1 - 2021/2/15
N2 - We study the approximation of the spectrum of least-squares operators arising from linear elasticity. We consider a two-field (stress/displacement) and a three-field (stress/displacement/vorticity) formulation; other formulations might be analyzed with similar techniques. We prove a priori estimates and we confirm the theoretical results with simple two-dimensional numerical experiments.
AB - We study the approximation of the spectrum of least-squares operators arising from linear elasticity. We consider a two-field (stress/displacement) and a three-field (stress/displacement/vorticity) formulation; other formulations might be analyzed with similar techniques. We prove a priori estimates and we confirm the theoretical results with simple two-dimensional numerical experiments.
UR - http://hdl.handle.net/10754/667863
UR - https://linkinghub.elsevier.com/retrieve/pii/S0898122120304831
UR - http://www.scopus.com/inward/record.url?scp=85101350700&partnerID=8YFLogxK
U2 - 10.1016/j.camwa.2020.12.013
DO - 10.1016/j.camwa.2020.12.013
M3 - Article
SN - 0898-1221
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
ER -