Mixed-precision AMG as linear equation solver for definite systems

Procedia Computer Science

Volumn 1, Issue 1, 2010, Pages 175-183

  Emans, Maximilian ^a   Van Der Meer, Albert ^a  

^a AVL LIST GMBH   (Austria)

Author keywords

Algebraic multigrid; Mixed precision

Indexed keywords

ALGEBRA; BENCHMARKING; CLUSTER COMPUTING; COMPUTATIONAL FLUID DYNAMICS; LINEAR ALGEBRA; PROGRAM PROCESSORS;

ALGEBRAIC MULTIGRIDS; CLUSTER ARCHITECTURE; COMPUTATIONAL FLUID DYNAMICS SIMULATIONS; KRYLOV SOLVERS; LINEAR SOLVER; MIXED PRECISION; MULTI-CORE CPUS;

DIGITAL ARITHMETIC;

EID: 78249272764     PISSN: None     EISSN: 18770509     Source Type: Conference Proceeding    
DOI: 10.1016/j.procs.2010.04.020     Document Type: Conference Paper

References (11)

1. M. Babouli, A. Buttari, J. Dongarra, J. Kurzak, J. Lanlou, J. Lanlou, P. Luszczek, and S. Tomov: Accelerating Scientific Computations with Mixed Precision Algorithms, Computer Physics Communications, vol. 180, pp. 2526-2533, 2009
2. R. Čiegis, O. Iliev, Z. Lakdawala: On Parallel Numerical Algorithms for Simulating Industrial Filtration Problems, Computational Methods in Applied Mathematics, vol. 7, pp. 118-134, 2007
3. M. Emans: AMG for linear systems in engine flow simulations, Proceedings of PPMA09, Lecture Notes in Computer Science, Springer Verlag, 2010, to appear
4. M. Emans: Performance of Parallel AMG-preconditioners in CFD-codes for weakly compressible flows, Parallel Computing, 2010, to appear
5. H. van Emden and U. Meier-Yang: BoomerAMG: a Parallel Algebraic Multigrid Solver and Preconditioner, Applied Numerical Mathematics, vol. 41, pp. 155-177, 2001 2002 Part III
6. Lecture Notes on Computer Science, vol. 2331, Springer Verlag, pp. 632-641, 2002
7. S.V. Patankar: Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing, 1980
8. Y. Saad: Iterative Methods for Sparse Linear Systems, 2nd edition, SIAM, 2003
9. H. Tadano and T. Sakurai: On Single Precision Preconditioners for Krylov Subspace Iterative Methods, in: I. Lirkov, S. Margenov, and J. Waśniewski, eds.:Large-Scale Scientific Computing: 6th International Conference, LSSC 2007, Lecture Notes on Computer Science, vol. 4818, pp. 708-715, Springer Verlag Berlin Heidelberg, 2008
10. U. Trottenberg, C. Oosterlee, and A. Schüller: MULTIGRID, Elsevier Academic Press, London, 2001
11. P. Vaněk, M. Brezina, and J. Mandel: Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems, Computing, vol. 56, pp. 179-196, 1996