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