@TechReport{	  it:2006-023,
  author	= {Gergana Bencheva and Svetozar Margenov and Ji\v{r}\'{\i}
		  Star\'{y}},
  title		= {{MPI} Implementation of a {PCG} Solver for Nonconforming
		  {FEM} Problems: Overlapping of Communications and
		  Computations},
  institution	= {Department of Information Technology, Uppsala University},
  year		= {2006},
  number	= {2006-023},
  month		= may,
  abstract	= {New theoretical and experimental results concerning a
		  recently introduced parallel preconditioner for the
		  solution of large nonconforming Finite Element linear
		  systems are presented. The studied algorithm is based on
		  the modified incomplete Cholesky factorization MIC(0)
		  applied to a locally constructed approximation of the
		  original stiffness matrix. The overlapping of
		  communications and computations is possible due to a
		  suitable reordering of the computations applied in the MPI
		  code. Theoretical estimates for the execution time of the
		  modified algorithm are derived. The obtained improvement of
		  the real performance is illustrated by numerical tests on a
		  Beowulf-type Linux cluster, on a Sun symmetric
		  multiprocessor and on an SGI Altix supercluster.}
}