ISU — Multigrid for computing propagators
نویسندگان
چکیده
منابع مشابه
Some Comments on Multigrid Methods for Computing Propagators
I make three conceptual points regarding multigrid methods for computing propagators in lattice gauge theory: 1) The class of operators handled by the algorithm must be stable under coarsening. 2) Problems related by symmetry should have solution methods related by symmetry. 3) It is crucial to distinguish the vector space V from its dual space V . All the existing algorithms violate one or mor...
متن کاملar X iv : h ep - l at / 9 41 10 54 v 1 2 5 N ov 1 99 4 1 ISU — Multigrid for computing propagators
The Iteratively Smoothing Unigrid algorithm (ISU), a new multigrid method for computing propagators in Lattice Gauge Theory, is explained. The main idea is to compute good (i.e. smooth) interpolation operators in an iterative way. This method shows no critical slowing down for the 2-dimensional Laplace equation in an SU(2) gauge field. First results for the Dirac-operator are also shown. 1. The...
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Practical modifications of deterministic multigrid and conventional relaxation algorithms are discussed. New parameters need not be tuned but are determined by the algorithms themselves. One modification can be thought of as “updating on a last layer consisting of a single site”. It eliminates critical slowing down in computations of bosonic and fermionic propagators in a fixed volume. Here cri...
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This paper investigates the properties of smoothers in the context of algebraic multigrid (AMG) running on parallel computers with potentially millions of processors. The development of multigrid smoothers in this case is challenging, because some of the best relaxation schemes, such as the Gauss-Seidel (GS) algorithm, are inherently sequential. Based on the sharp two-grid multigrid theory from...
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Multigrid (MG) methods for the computation of propagators of staggered fermions in non-Abelian gauge fields are discussed. MG could work in principle in arbitrarily disordered systems. The practical variational MGmethods tested so far with a “Laplacian choice” for the restriction operator are not competitive with the conjugate gradient algorithm on lattices up to 18. Numerical results are prese...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 1995
ISSN: 0920-5632
DOI: 10.1016/0920-5632(95)00399-t