Comparison of two discretizations for spectral computations for integral operators

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

vasconcelos, pb (Autor) FEP; dalmeida, fd (Autor) FEUP; ahues, m (Autor) Outra

Revista

Título: International Journal of Pure and Applied Mathematics

Vol. 71

Páginas: 261-270

ISSN: 1311-8080

Editora: Academic Publications Ltd

Indexação

ISI Web of Knowledge

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-007-ZPS

Abstract (EN): Let us consider a Fredholm integral operator and the corresponding invariant subspace basis problem. The spectral elements of the integral operator will be computed by a projection method on a subspace of dimension n followed by an iterative refinement method based on defect correction. The test problem to be used is the integral formulation of the transfer problem that represents the restriction of a strongly coupled system of nonlinear equations dealing with radiative transfer in stellar atmospheres. This restriction comes from considering that the temperature and the pressure are given and makes the problem a linear one. We will describe and compare two versions for the matrix implementation of the iterative refinement method based on projection methods and defect correction. These versions differ in the basis functions considered in the discretization of the problem. © 2011 Academic Publications, Ltd.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 10