Integral Operator Spectral Computations using PETSc/SLEPc libraries

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2010

Autores

vasconcelos, pb (Autor) FEP; roman, je (Autor) Outra; dalmeida, fd (Autor) Outra

Ata de Conferência Internacional

Título: IBERGRID - 4th Iberian Grid Infrastructure Conference Proceedings

Páginas: 395-+

IBERGRID - Iberian Grid Infrastructure Conference

Indexação

ISI Web of Knowledge - 0 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Ciências da computação e da informação

Outras Informações

ID Authenticus: P-003-B55

Abstract (EN): The advantages of using parallel libraries to support the programming of mathematical models in High Performance Computing is illustrated in this paper. We will briefly describe a model for a radiative transfer problem that involves an integral operator on a very large interval. Its discretization leads to very large matrix problems and, therefore, the use of parallel distributed computing is crucial. In order deal with the large dimension of the problem, we use an iterative refinement strategy to improve the eigenvalues and vectors of a moderate size matrix discretization computed as initial approximations, and thus provide accurate eigenpairs corresponding to a larger dimensional problem. Both stages require many matrix-vector multiplications with matrices that are built and stored in a distributed mariner among the processors, due to their large size. Computational details of the use of PETSc and SLEPc packages on the solution of this spectral problem will be addressed.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 3