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Experimental analysis of a Fast Adaptive Composite‐based grid expansion scheme for open boundary problems
Author(s) -
Ritter Daniel,
Rüde Ulrich
Publication year - 2012
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.1807
Subject(s) - grid , scheme (mathematics) , boundary (topology) , mathematics , poisson's equation , composite number , poisson distribution , interface (matter) , algorithm , mathematical optimization , computer science , mathematical analysis , geometry , parallel computing , statistics , bubble , maximum bubble pressure method
SUMMARY Poisson's equation on unbounded domains was solved with a hierarchical grid coarsening approach on the basis of Stephen F. McCormick's Fast Adaptive Composite grid method. We were especially interested in the efficient interface treatment that is enabled by regular stencils. The error behavior of a second‐order scheme was empirically analyzed for an exemplary setup from molecular dynamics. Comparisons with previous methods were also performed and showed that our approach is competitive. Copyright © 2012 John Wiley & Sons, Ltd.