dc.date.accessioned | 2021-02-22T14:12:45Z | |
dc.date.available | 2021-02-22T14:12:45Z | |
dc.date.created | 2020-09-11T18:22:21Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Chatterjee, Neelabja Fjordholm, Ulrik Skre . Convergence of second-order, entropy stable methods for multi-dimensional conservation laws. Mathematical Modelling and Numerical Analysis. 2020, 54(4), 1415-1428 | |
dc.identifier.uri | http://hdl.handle.net/10852/83517 | |
dc.description.abstract | High-order accurate, entropy stable numerical methods for hyperbolic conservation laws have attracted much interest over the last decade, but only a few rigorous convergence results are available, particularly in multiple space dimensions. In this paper we show how the entropy stability of one such method, which is semi-discrete in time, yields a (weak) bound on oscillations. Under the assumption of L ∞ -boundedness of the approximations we use compensated compactness to prove convergence to a weak solution satisfying at least one entropy condition. | |
dc.language | EN | |
dc.title | Convergence of second-order, entropy stable methods for multi-dimensional conservation laws | |
dc.type | Journal article | |
dc.creator.author | Chatterjee, Neelabja | |
dc.creator.author | Fjordholm, Ulrik Skre | |
cristin.unitcode | 185,15,13,45 | |
cristin.unitname | Differensiallikninger og beregningsorientert matematikk | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |
dc.identifier.cristin | 1829264 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical Modelling and Numerical Analysis&rft.volume=54&rft.spage=1415&rft.date=2020 | |
dc.identifier.jtitle | Mathematical Modelling and Numerical Analysis | |
dc.identifier.volume | 54 | |
dc.identifier.issue | 4 | |
dc.identifier.startpage | 1415 | |
dc.identifier.endpage | 1428 | |
dc.identifier.doi | https://doi.org/10.1051/m2an/2019090 | |
dc.identifier.urn | URN:NBN:no-86232 | |
dc.type.document | Tidsskriftartikkel | |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0764-583X | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/83517/1/CONVERGENCE_OF_SECOND-ORDER-ENTROPY-STABLE.pdf | |
dc.type.version | AcceptedVersion | |