Consistency analysis of mesh-free methods for conservation laws

Junk, Michael; Struckmeier, Jens

Consistency analysis of mesh-free methods for conservation laws

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2001

Autor:innen

Junk, Michael

Struckmeier, Jens

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-254656

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

GAMM-Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik. 2001, 24(2), pp. 99-126. ISSN 0936-7195. eISSN 1522-2608

Zusammenfassung

Based on general partitions of unity and standard numerical flux functions, a class of mesh-free methods for conservation laws is derived. A Lax-Wendroff type consistency analysis is carried out for the general case of moving partition functions. The analysis leads to a set of conditions which are checked for the finite volume particle method FVPM. As a by-product, classical finite volume schemes are recovered in the approach for special choices of the partition of unity.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

JUNK, Michael, Jens STRUCKMEIER, 2001. Consistency analysis of mesh-free methods for conservation laws. In: GAMM-Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik. 2001, 24(2), pp. 99-126. ISSN 0936-7195. eISSN 1522-2608

BibTex

@article{Junk2001Consi-25465,
  year={2001},
  title={Consistency analysis of mesh-free methods for conservation laws},
  number={2},
  volume={24},
  issn={0936-7195},
  journal={GAMM-Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik},
  pages={99--126},
  author={Junk, Michael and Struckmeier, Jens}
}

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