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dc.contributor.authorAltmann, Robert
dc.contributor.authorHeiland, Jan
dc.date.accessioned2021-12-17T10:14:37Z-
dc.date.available2021-12-17T10:14:37Z-
dc.date.issued2016-02-26
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15881-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14654-
dc.description.abstractA general framework for the regularization of constrained PDEs, also called operator differential-algebraic equations (operator DAEs), is presented. The given procedure works for semi-explicit and semi-linear operator DAEs of first order including the Navier-Stokes and other flow equations. The proposed reformulation is consistent, i.e., the solution of the PDE remains untouched. Its main advantage is that it regularizes the operator DAE in the sense that a semi-discretization in space leads to a DAE of lower index. Furthermore, a stability analysis is presented for the linear case which shows that the regularization provides benefits also for the application of the Rothe method. For this, the influence of perturbations is analyzed for the different formulations. The results are verified by means of a numerical example with an adaptive space discretization.en
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otheroperator DAEen
dc.subject.otherPDAEen
dc.subject.otherregularizationen
dc.subject.otherindex reductionen
dc.subject.otherRothe methoden
dc.subject.othermethod of linesen
dc.subject.otherperturbation analysisen
dc.titleRegularization and Rothe Discretization of Semi-Explicit Operator DAEsen
dc.typeResearch Paperen
tub.accessrights.dnbfreeen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2016, 02en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
dc.type.versionsubmittedVersionen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften » Inst. Mathematikde
tub.subject.msc200065J10 Equations with linear operatorsen
tub.subject.msc200065M12 Stability and convergence of numerical methodsen
tub.subject.msc200065L80 Methods for differential-algebraic equationsen
Appears in Collections:Technische Universität Berlin » Publications

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