Title :
A parallel iterative solver based on the Schur complement system
Author :
Larrazábal, Germán ; Cela, José M.
Author_Institution :
Dept. Comput., Carabobo Univ., Valencia, Venezuela
Abstract :
We present a parallel iterative solver for the Schur system. We have developed two preconditioners for this system. The preconditioners are based in a strongly dropped factorisation and algebraic multigrid technique, respectively. Two levels of parallelism are exploited using PVM and openMP. The preconditioners are tested with a scalar convection-diffusion equation, a set of industrial test cases arising from the finite element package PERMAS and the Davis collection. We have obtained quasi-linear speed-up until 32 processors
Keywords :
finite element analysis; iterative methods; mathematics computing; parallel algorithms; Davis collection; PVM; Schur complement system; algebraic multigrid technique; finite element package PERMAS; industrial test cases; openMP; parallel iterative solver; preconditioners; quasi-linear speed-up; scalar convection-diffusion equation; strongly dropped factorisation; Computational modeling; Finite element methods; Linear systems; Matrix decomposition; Packaging; Parallel processing; Processor scheduling; Robustness; Scalability; Testing;
Conference_Titel :
Parallel Processing Workshops, 2001. International Conference on
Conference_Location :
Valencia
Print_ISBN :
0-7695-1260-7
DOI :
10.1109/ICPPW.2001.951921