Convergence of Multipower Defect-Correction for spectral computations of integral operators

• Tipo: Artigo em Revista Científica Internacional
• Data: 2012

Autores

dalmeida, fd (Autor) FEUP; vasconcelos, pb (Autor) FEP

Revista

Título: Applied Mathematics and Computation

Vol. 219 Nº 4

Páginas: 1601-1606

ISSN: 0096-3003

Editora: Elsevier

Indexação

ISI Web of Knowledge - 1 Citação

ISI Web of Science

Scopus - 1 Citação

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-002-416

DOI: 10.1016/j.amc.2012.08.001

Abstract (EN): In this paper we propose the Multipower Defect-Correction method, a generalization of the double iteration, to compute a cluster of eigenvalues and the associated invariant subspace from discretized integral operators. It consists of an inner/outer iteration where, inside a defect-correction iteration, p power iteration steps are performed. The approximate inverse used in the defect correction is built with an approximation to the reduced resolvent operator of a coarse discretization of the integral operator. The proposed method computes eigenpairs approximations by refining initial approximations obtained from a coarser dimensional problem. It is therefore meant for large dimensional problems. Furthermore, the kernel of the integral operator may be weakly singular. We provide a proof for the convergence of this Multipower Defect-Correction method. A numerical example illustrating the theory and the behavior of the method is also presented.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 6