Efficient algorithms for discrete lattice calculations

M. Arndt, V. Sorkin, Ellad B Tadmor

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

We discuss algorithms for lattice-based computations, in particular lattice reduction, the detection of nearest neighbors, and the computation of clusters of nearest neighbors. We focus on algorithms that are most efficient for low spatial dimensions (typically d = 2, 3) and input data within a reasonably limited range. This makes them most useful for physically oriented numerical simulations, for example of crystalline solids. Different solution strategies are discussed, formulated as algorithms, and numerically evaluated.

Original languageEnglish (US)
Pages (from-to)4858-4880
Number of pages23
JournalJournal of Computational Physics
Volume228
Issue number13
DOIs
StatePublished - Jul 20 2009

Keywords

  • Cluster computation
  • Lattice algorithms
  • Lattice reduction
  • Nearest neighbor
  • Quasicontinuum

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