A. Ilin et al., PARALLELIZING OF PRECONDITIONED CONJUGATE GRADIENTS FOR POISSON-BOLTZMANN CALCULATION, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 429-430
This paper describes recent advances in the parallelization of the pre
conditioned conjugate gradient method for the Poisson-Boltzmann proble
m. Compared are three different kinds of symmetrical preconditioners:
diagonal, incomplete Cholesky and alternative directions. The comparis
on uas conducted with respect to computational and memory requirements
, convergence and scalability as a function of problem size and number
of processors. Results of numerical experiments are presented for dis
tributed-memory (Delta) and shared-memory (KSR-1) computers and demons
trate wide range of scalability.