IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Eigenvalue problems in a non-Lipschitz domain
Autor/es:
G. ACOSTA, G. ARMENTANO
Revista:
IMA JOURNAL OF NUMERICAL ANALYSIS
Editorial:
OXFORD UNIV PRESS
Referencias:
Lugar: Oxford; Año: 2014 vol. 34 p. 83 - 95
ISSN:
0272-4979
Resumen:
In this paper we analyze piecewise linear finite element approximations of certain eigenvalue problem for the Laplace operator in a domain Ω with an external cusp. Since Ω is curved and non-Lipschitz the classical spectral theory is properly adapted and using convergence results for the source problem, H^1 quasi optimal order of convergence for the eigenfunctions a double order of convergence for the eigenvalues is obtained in appropriate graded meshes.
