IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
A posteriori error analysis for nonconforming approximation of multiple eigenvalues
Autor/es:
R. G. DURÁN; D. BOFFI; L. GASTALDI; F. GARDINI
Revista:
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Editorial:
JOHN WILEY & SONS LTD
Referencias:
Lugar: Londres; Año: 2017 vol. 40 p. 350 - 369
ISSN:
0170-4214
Resumen:
Abstract. In this paper we study an a posteriori error indicator introduced inE. Dari, R.G. Duran, C. Padra, Appl. Numer. Math., 2012, for the approximationof the Laplace eigenvalue problem with Crouzeix{Raviart non-conformingnite elements. In particular, we show that the estimator is robust also in presenceof eigenvalues of multiplicity greater than one. Some numerical examplesconrm the theory and illustrate the convergence of an adaptive algorithmwhen dealing with multiple eigenvalues.
