Working with colleagues from CLPP BAS, we are studying fast
solvers for Elliptic PDE's. Results have been summarized in the
ffollowing publications. All papers listed here are "Technical
Report" quality and copyrighted originals should be used for all
purposes over and above plain curiosity.
Ivan Lirkov, Yavor Vutov,
Marcin Paprzycki, Maria
Ganzha, High Performance Solver for 3D Elasticity Problems. In:
Proceedings of the 2007 LSSC Conference, Springer LNCS 4818,
Berlin, 2007, 692-700 PDF
Ivan Lirkov, Svetozar Magenov,
Marcin Paprzycki, Benchmarking Performance of an
MPI-based Solver for 3D Elasticity Problems. In: Proceedings of
the IEEE J. V. Atanasoff Conference, IEEE CS Press, Los Alamitos,
CA, 2006, 260-265
"Parallel Conjugate
Gradient Method with Circulant Block-Factorization Preconditioners
for 3D Elliptic Problems," with I. Lirkov and S. Margenov, in:
B. Hendrickson et. al. (eds.), Proceedings of the Ninth SIAM
Conference on Parallel Processing for Scientific Computing,
SIAM, Philadelphia, 1999, files Marcin~1.pdf and Marcin~1.ps
"Implementing Parallel
Elliptic Solver on a Beowulf Cluster," with J. Sanchez and S.
Petrova, Proceedings of the 15th Annual Conference on Applied
Mathematics, University of Central Oklahoma, Edmond, OK, 1999,
211-221
"Parallel Solution of 2D
Elliptic PDE's on Silicon Graphics Supercomputers," with
I. Lirkow and S. Margenow, in: Y. Pan et. al. (eds.) Proceedings
of the 10th International Conference on Parallel and Distributed
Computing and Systems, IASTED/ACTA Press, Anaheim, 1998,
575-580
"A Shared Memory Parallel
Implementation of Block-Circulant Preconditioners," with I.
Lirkow, S. Margenow and L. Owens, in: M. Griebel et. al. (eds.)
Large-Scale Scientific Computations of Engineering and
Environmental Problems, VIEWEG, Wisbaden, 1998, 319-327
"Parallel Performance of
a Direct Elliptic Solver," with H. Hope and S. Petrova, in: M.
Griebel et. al. (eds.) Large-Scale Scientific Computations of
Engineering and Environmental Problems, VIEWEG, Wisbaden, 1998,
310-318
Copies of the papers can be obtained by e-mailing me at marcin.paprzycki@ibspan.waw.pl