Gutenberg Open Science: Energy-stable global radial basis function methods on summation-by-parts form

Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-9960

Full metadata record

DC Field	Value	Language
dc.contributor.author	Glaubitz, Jan	-
dc.contributor.author	Nordström, Jan	-
dc.contributor.author	Öffner, Philipp	-
dc.date.accessioned	2024-01-25T08:33:46Z	-
dc.date.available	2024-01-25T08:33:46Z	-
dc.date.issued	2024	-
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/9978	-
dc.description.abstract	Radial basis function methods are powerful tools in numerical analysis and have demonstrated good properties in many different simulations. However, for time-dependent partial differential equations, only a few stability results are known. In particular, if boundary conditions are included, stability issues frequently occur. The question we address in this paper is how provable stability for RBF methods can be obtained. We develop a stability theory for global radial basis function methods using the general framework of summation-by-parts operators often used in the Finite Difference and Finite Element communities. Although we address their practical construction, we restrict the discussion to basic numerical simulations and focus on providing a proof of concept.	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	Energy-stable global radial basis function methods on summation-by-parts form	en_GB
dc.type	Zeitschriftenaufsatz	de
dc.identifier.doi	http://doi.org/10.25358/openscience-9960	-
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	Journal of scientific computing	de
jgu.journal.volume	98	de
jgu.pages.alternative	30	de
jgu.publisher.year	2024	-
jgu.publisher.name	Springer Science + Business Media B.V.	de
jgu.publisher.place	New York, NY u.a.	de
jgu.publisher.issn	1573-7691	de
jgu.organisation.place	Mainz	-
jgu.subject.ddccode	510	de
jgu.publisher.doi	10.1007/s10915-023-02427-8	de
jgu.organisation.ror	https://ror.org/023b0x485	-
jgu.subject.dfg	Lebenswissenschaften	de
Appears in collections:	DFG-491381577-H

Files in This Item:

	File	Description	Size	Format
	energystable_global_radial_ba-20240119122453686.pdf		1.15 MB	Adobe PDF	View/Open

Show simple item record