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A Posteriori Error Analysis for Nonconforming Approximation of Multiple Eigenvalues by Boffi, Daniele; Durán, Ricardo G.; Gardini, Francesca; Gastaldi, Lucia is a scholarly article available to read on EtoBox.

What is A Posteriori Error Analysis for Nonconforming Approximation of Multiple Eigenvalues about?

In this paper we study an a posteriori error indicator introduced in E. Dari, R.G. Duran, C. Padra, Appl. Numer. Math., 2012, for the approximation of the Laplace eigenvalue problem with Crouzeix-Raviart non-conforming 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.

Author

Boffi, Daniele; Durán, Ricardo G.; Gardini, Francesca; Gastaldi, Lucia

Published

2014

Language

EN