TY - JOUR
T1 - Least-squares formulations for eigenvalue problems associated with linear elasticity
AU - Bertrand, Fleurianne
AU - Boffi, Daniele
N1 - Funding Information:
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.
Publisher Copyright:
© 2021 The Author(s)
PY - 2021/8/1
Y1 - 2021/8/1
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.
KW - Eigenvalue approximation
KW - Least-Squares Finite Element Method
UR - https://www.scopus.com/pages/publications/85101350700
U2 - 10.1016/j.camwa.2020.12.013
DO - 10.1016/j.camwa.2020.12.013
M3 - Article
AN - SCOPUS:85101350700
SN - 0898-1221
VL - 95
SP - 19
EP - 27
JO - Computers & mathematics with applications
JF - Computers & mathematics with applications
ER -