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: | urn:nbn:de:hbz:386-kluedo-10474 |
| Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (226) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 2000 |
| Year of first Publication: | 2000 |
| Publishing Institution: | 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: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |