TY - GEN
T1 - A posteriori error analysis for nonconforming approximation of multiple eigenvalues
AU - Boffi, Daniele
AU - Durán, Ricardo G.
AU - Gardini, Francesca
AU - Gastaldi, Lucia
N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05
PY - 2017/1/30
Y1 - 2017/1/30
N2 - In this paper, we study an a posteriori error indicator introduced in E. Dari, R.G. Durán, and C. Padra, Appl. Numer. Math., 2012, for the approximation of the Laplace eigenvalue problem with Crouzeix–Raviart nonconforming finite elements. In particular, we show that the estimator is robust also in presence of eigenvalues of multiplicity greater than one. Some numerical examples confirm the theory and illustrate the convergence of an adaptive algorithm when dealing with multiple eigenvalues. Copyright © 2015 John Wiley & Sons, Ltd.
AB - In this paper, we study an a posteriori error indicator introduced in E. Dari, R.G. Durán, and C. Padra, Appl. Numer. Math., 2012, for the approximation of the Laplace eigenvalue problem with Crouzeix–Raviart nonconforming finite elements. In particular, we show that the estimator is robust also in presence of eigenvalues of multiplicity greater than one. Some numerical examples confirm the theory and illustrate the convergence of an adaptive algorithm when dealing with multiple eigenvalues. Copyright © 2015 John Wiley & Sons, Ltd.
UR - http://doi.wiley.com/10.1002/mma.3452
UR - http://www.scopus.com/inward/record.url?scp=84924366678&partnerID=8YFLogxK
U2 - 10.1002/mma.3452
DO - 10.1002/mma.3452
M3 - Conference contribution
SP - 350
EP - 369
BT - Mathematical Methods in the Applied Sciences
PB - John Wiley and Sons LtdSouthern GateChichester, West SussexPO19 8SQ
ER -