Dynamical algebraic multi-grid in simulations of free fields on random triangulated surfaces

S. Solomon; D. Stanhill; K. Wolowelsky

doi:10.1016/0010-4655(94)90032-9

Dynamical algebraic multi-grid in simulations of free fields on random triangulated surfaces

S. Solomon^*, D. Stanhill, K. Wolowelsky

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Using dynamical algebraic multi-grid (DAMG) we simulated scalar fields on fixed random triangulated grids. We measured the auto-correlation time τ of 〈(x - 〈x〉)²〉 for runs on a 10 000 triangles grid. We compared the DAMG value (τ ∼ 2.5), with the one-level relaxations (τ ∼ 1500). Then, we estimated the dynamical critical exponent z. The usual heat-bath algorithm displays critical slowing down (CSD) with ζ ≉ 1.5 while for DAMG ζ ≉ 0.

Original language	English
Pages (from-to)	23-29
Number of pages	7
Journal	Computer Physics Communications
Volume	83
Issue number	1
DOIs	https://doi.org/10.1016/0010-4655(94)90032-9
State	Published - Oct 1994

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abstract = "Using dynamical algebraic multi-grid (DAMG) we simulated scalar fields on fixed random triangulated grids. We measured the auto-correlation time τ of 〈(x - 〈x〉)2〉 for runs on a 10 000 triangles grid. We compared the DAMG value (τ ∼ 2.5), with the one-level relaxations (τ ∼ 1500). Then, we estimated the dynamical critical exponent z. The usual heat-bath algorithm displays critical slowing down (CSD) with ζ ≉ 1.5 while for DAMG ζ ≉ 0.",

author = "S. Solomon and D. Stanhill and K. Wolowelsky",

year = "1994",

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N2 - Using dynamical algebraic multi-grid (DAMG) we simulated scalar fields on fixed random triangulated grids. We measured the auto-correlation time τ of 〈(x - 〈x〉)2〉 for runs on a 10 000 triangles grid. We compared the DAMG value (τ ∼ 2.5), with the one-level relaxations (τ ∼ 1500). Then, we estimated the dynamical critical exponent z. The usual heat-bath algorithm displays critical slowing down (CSD) with ζ ≉ 1.5 while for DAMG ζ ≉ 0.

AB - Using dynamical algebraic multi-grid (DAMG) we simulated scalar fields on fixed random triangulated grids. We measured the auto-correlation time τ of 〈(x - 〈x〉)2〉 for runs on a 10 000 triangles grid. We compared the DAMG value (τ ∼ 2.5), with the one-level relaxations (τ ∼ 1500). Then, we estimated the dynamical critical exponent z. The usual heat-bath algorithm displays critical slowing down (CSD) with ζ ≉ 1.5 while for DAMG ζ ≉ 0.

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Dynamical algebraic multi-grid in simulations of free fields on random triangulated surfaces

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