Multigrid implementation of the Fourier acceleration method for Landau gauge fixing

被引:24
作者
Cucchieri, A [1 ]
Mendes, T
机构
[1] Univ Roma Tor Vergata, Dipartimento Fis, Grp APE, I-00173 Rome, Italy
[2] INFN, Sez Roma 2, I-00133 Rome, Italy
关键词
D O I
10.1103/PhysRevD.57.R3822
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a new implementation of the Fourier acceleration method for Landau gauge fixing. By means of a multigrid inversion we are able to avoid the use of the fast Fourier transform. This makes the method more flexible, and well suited for vector and parallel machines. We study the performance of this algorithm on serial and on parallel (APE100) machines for the four-dimensional SU(2) case. We find that our method is equivalent to the standard implementation of Fourier acceleration already on a serial machine, and that it parallelizes very efficiently: its computational cost shows a linear speedup with the number of processors. We have also implemented, on the parallel machines, a version of the method using conjugate gradient instead of multigrid. This leads to an algorithm that is efficient at intermediate lattice volumes. [S0556-2821(98)50607-8].
引用
收藏
页码:R3822 / R3826
页数:5
相关论文
共 26 条
[1]   LANGEVIN SIMULATIONS OF LATTICE FIELD-THEORIES [J].
BATROUNI, GG ;
KATZ, GR ;
KRONFELD, AS ;
LEPAGE, GP ;
SVETITSKY, B ;
WILSON, KG .
PHYSICAL REVIEW D, 1985, 32 (10) :2736-2747
[2]   Critical slowing-down in SU(2) Landau gauge-fixing algorithms [J].
Cucchieri, A ;
Mendes, T .
NUCLEAR PHYSICS B, 1996, 471 (1-2) :263-290
[3]   Study of critical slowing-down in SU(2) Landau gauge fixing [J].
Cucchieri, A ;
Mendes, T .
NUCLEAR PHYSICS B, 1997, :811-814
[4]  
CUCCHIERI A, IN PRESS P LATT 97 C
[5]  
CUCCHIERI A, UNPUB
[6]   TESTING ACCELERATED STOCHASTIC ALGORITHMS IN 2 DIMENSIONS - THE SU(3) X SU(3) SPIN MODEL [J].
DAGOTTO, E ;
KOGUT, JB .
NUCLEAR PHYSICS B, 1987, 290 (04) :451-468
[7]   NUMERICAL-ANALYSIS OF ACCELERATED STOCHASTIC ALGORITHMS NEAR A CRITICAL-TEMPERATURE [J].
DAGOTTO, E ;
KOGUT, JB .
PHYSICAL REVIEW LETTERS, 1987, 58 (04) :299-302
[8]   FOURIER ACCELERATION IN LATTICE GAUGE-THEORIES .1. LANDAU GAUGE FIXING [J].
DAVIES, CTH ;
BATROUNI, GG ;
KATZ, GR ;
KRONFELD, AS ;
LEPAGE, GP ;
WILSON, KG ;
ROSSI, P ;
SVETITSKY, B .
PHYSICAL REVIEW D, 1988, 37 (06) :1581-1588
[9]  
de Forcrand P., 1989, Nuclear Physics B, Proceedings Supplements, V9, P516, DOI 10.1016/0920-5632(89)90153-9
[10]   MULTIGRID MONTE-CARLO METHOD - CONCEPTUAL FOUNDATIONS [J].
GOODMAN, J ;
SOKAL, AD .
PHYSICAL REVIEW D, 1989, 40 (06) :2035-2071