Gutenberg Open Science: Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations

Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-7480

Full metadata record

DC Field	Value	Language
dc.contributor.author	Kučera, Václav	-
dc.contributor.author	Lukáčová-Medvid’ová, Mária	-
dc.contributor.author	Noelle, Sebastian	-
dc.contributor.author	Schütz, Jochen	-
dc.date.accessioned	2022-08-03T09:40:12Z	-
dc.date.available	2022-08-03T09:40:12Z	-
dc.date.issued	2022	-
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/7494	-
dc.description.abstract	In this paper we derive and analyse a class of linearly implicit schemes which includes the one of Feistauer and Kučera (J Comput Phys 224:208–221, 2007) as well as the class of RS-IMEX schemes (Schütz and Noelle in J Sci Comp 64:522–540, 2015; Kaiser et al. in J Sci Comput 70:1390–1407, 2017; Bispen et al. in Commun Comput Phys 16:307–347, 2014; Zakerzadeh in ESAIM Math Model Numer Anal 53:893–924, 2019). The implicit part is based on a Jacobian matrix which is evaluated at a reference state. This state can be either the solution at the old time level as in Feistauer and Kučera (2007), or a numerical approximation of the incompressible limit equations as in Zeifang et al. (Commun Comput Phys 27:292–320, 2020), or possibly another state. Subsequently, it is shown that this class of methods is asymptotically preserving under the assumption of a discrete Hilbert expansion. For a one-dimensional setting with some limitations on the reference state, the existence of a discrete Hilbert expansion is shown.	en_GB
dc.language.iso	eng	de
dc.rights	CC BY	*
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	*
dc.subject.ddc	510 Mathematik	de_DE
dc.subject.ddc	510 Mathematics	en_GB
dc.title	Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations	en_GB
dc.type	Zeitschriftenaufsatz	de
dc.identifier.doi	http://doi.org/10.25358/openscience-7480	-
jgu.type.dinitype	article	en_GB
jgu.type.version	Published version	de
jgu.type.resource	Text	de
jgu.organisation.department	FB 08 Physik, Mathematik u. Informatik	de
jgu.organisation.number	7940	-
jgu.organisation.name	Johannes Gutenberg-Universität Mainz	-
jgu.rights.accessrights	openAccess	-
jgu.journal.title	Numerische Mathematik	de
jgu.journal.volume	150	de
jgu.pages.start	79	de
jgu.pages.end	103	de
jgu.publisher.year	2022	-
jgu.publisher.name	Springer	de
jgu.publisher.place	Berlin u.a.	de
jgu.publisher.issn	0945-3245	de
jgu.organisation.place	Mainz	-
jgu.subject.ddccode	510	de
jgu.publisher.doi	10.1007/s00211-021-01240-5	de
jgu.organisation.ror	https://ror.org/023b0x485	-
Appears in collections:	JGU-Publikationen

Files in This Item:

	File	Description	Size	Format
	asymptotic_properties_of_a_cl-20220729162547501.pdf		417.04 kB	Adobe PDF	View/Open

Show simple item record