Comparison of two discretizations for spectral computations for integral operators

• Type: Article in International Scientific Journal
• Date: 2011

Authors

vasconcelos, pb (Author) FEP; dalmeida, fd (Author) FEUP; ahues, m (Author) Other

Journal

Title: International Journal of Pure and Applied Mathematics

Vol. 71

Pages: 261-270

ISSN: 1311-8080

Publisher: Academic Publications Ltd

Indexing

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Scopus - 0 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 10