IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Convergence and quasi-optimality of adaptive FEM for Steklov eigenvalue problems
Autor/es:
GARAU, EDUARDO M.; MORIN, PEDRO
Revista:
IMA JOURNAL OF NUMERICAL ANALYSIS
Editorial:
OXFORD UNIV PRESS
Referencias:
Año: 2011 vol. 31 p. 914 - 946
ISSN:
0272-4979
Resumen:
In this article we prove the convergence of adaptive finite-element methods for Steklov eigenvalue problems under very general assumptions for simple as well as multiple eigenvalues starting from any initial triangulation. We also prove the optimality of the approximations, assuming Dörfler´s strategy for marking when we consider simple eigenvalues.
