Piecewise constant Galerkin approximations of weakly singular integral equations

• Tipo: Artigo em Revista Científica Internacional
• Data: 2009

Autores

ahues, m (Autor) Outra; dalmeida, fd (Autor) FEUP; fernandes, rr (Autor) Outra

Revista

Título: International Journal of Pure and Applied Mathematics

Vol. 55 Nº 4

Páginas: 569-580

ISSN: 1311-8080

Editora: Academic Publications Ltd

Indexação

ISI Web of Knowledge

Scopus - 6 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12