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On well-separated sets and fast multipole methods
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
2011 (English)In: Applied Numerical Mathematics, ISSN 0168-9274, E-ISSN 1873-5460, Vol. 61, no 10, 1096-1102 p.Article in journal (Refereed) Published
Abstract [en]

The notion of well-separated sets is crucial in fast multipole methods as the main idea is to approximate the interaction between such sets via cluster expansions. We revisit the one-parameter multipole acceptance criterion in a general setting and derive a relative error estimate. This analysis benefits asymmetric versions of the method, where the division of the multipole boxes is more liberal than in conventional codes. Such variants offer a particularly elegant implementation with a balanced multipole tree, a feature which might be very favorable on modern computer architectures.

Place, publisher, year, edition, pages
2011. Vol. 61, no 10, 1096-1102 p.
Keyword [en]
Fast multipole method, Balanced tree, Asymmetric adaptive mesh, Error analysis, Cartesian expansion
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-39005DOI: 10.1016/j.apnum.2011.06.011ISI: 000293995000005Scopus ID: 2-s2.0-79960651352OAI: oai:DiVA.org:kth-39005DiVA: diva2:439253
Funder
Swedish Research Council
Available from: 2011-09-07 Created: 2011-09-06 Last updated: 2017-12-08Bibliographically approved

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