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Consistency analysis of mesh-free methods for conservation laws

  • 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.

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Author:Michael Junk, Jens Struckmeier
URN (permanent link):urn:nbn:de:hbz:386-kluedo-10474
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (226)
Document Type:Preprint
Language of publication:English
Year of Completion:2000
Year of Publication:2000
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/08/14
Tag:consistency; mesh-free method; partition of unity; scalar conservation laws; weak solutions
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011