Integral Operator Spectral Computations using PETSc/SLEPc libraries

• Type: Article in International Conference Proceedings Book
• Date: 2010

Authors

vasconcelos, pb (Author) FEP; roman, je (Author) Other; dalmeida, fd (Author) Other

Conference proceedings International

Title: IBERGRID - 4th Iberian Grid Infrastructure Conference Proceedings

Pages: 395-+

IBERGRID - Iberian Grid Infrastructure Conference

Indexing

ISI Web of Knowledge - 0 Citations

Scientific classification

FOS: Natural sciences > Computer and information sciences

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 3