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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Metadaten
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
Tag:consistency ; mesh-free method ; partition of unity ; scalar conservation laws ; weak solutions
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik

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