A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE

dc.contributor.author	Hoppe, Fabian
dc.contributor.author	Neitzel, Ira
dc.date.accessioned	2024-08-08T12:38:05Z
dc.date.available	2024-08-08T12:38:05Z
dc.date.issued	12.2020
dc.identifier.uri	https://hdl.handle.net/20.500.11811/11795
dc.description.abstract	We prove a-posteriori error-estimates for reduced-order modeling of quasilinear parabolic PDEs with non-monotone nonlinearity. We consider the solution of a semi-discrete in space equation as reference, and therefore incorporate reduced basis-, empirical interpolation-, and time-discretization-errors in our consideration. Numerical experiments illustrate our results.	en
dc.format.extent	25
dc.language.iso	eng
dc.relation.ispartofseries	INS Preprints ; 2005
dc.rights	In Copyright
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/
dc.subject	Quasilinear parabolic partial differential equation
dc.subject	Reduced basis
dc.subject	Proper Orthogonal Decomposition
dc.subject	A-posteriori error
dc.subject.ddc	510 Mathematik
dc.subject.ddc	518 Numerische Analysis
dc.title	A-posteriori reduced basis error-estimates for a semi-discrete in space quasilinear parabolic PDE
dc.type	Preprint
dc.publisher.name	Institut für Numerische Simulation (INS)
dc.publisher.location	Bonn
dc.rights.accessRights	openAccess
dc.relation.doi	https://doi.org/10.1007/s10589-021-00299-y
ulbbn.pubtype	Zweitveröffentlichung
dcterms.bibliographicCitation.url	https://ins.uni-bonn.de/publication/preprints

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