Piecewise constant Galerkin approximations of weakly singular integral equations

• Type: Article in International Scientific Journal
• Date: 2009

Authors

ahues, m (Author) Other; dalmeida, fd (Author) FEUP; fernandes, rr (Author) Other

Journal

Title: International Journal of Pure and Applied Mathematics

Vol. 55 No. 4

Pages: 569-580

ISSN: 1311-8080

Publisher: Academic Publications Ltd

Indexing

ISI Web of Knowledge

Scopus - 6 Citations

Other information

Authenticus ID: P-007-WFF

Abstract (EN): We consider a weakly singular 2-nd kind Fredholm integral equation defined on the space of Lebesgue integrable complex-valued functions. From all standard projection approximations of a bounded linear operator in a Banach space, the Galerkin scheme is the simplest one from a computational point of view. We explore its rate of convergence in terms of the mesh size of the underlying discretization grid on which no regularity assumption is made. An example in Astrophysics illustrates the actual behaviour of the error in terms of the distribution of the points in the grid. © 2009 Academie Publications.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12