<div class="csl-bib-body">
<div class="csl-entry">Leonhartsberger, C. (2025). <i>Stable finite element methods for the Reynolds equation in elastohydrodynamic lubrication problems</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2025.136549</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2025.136549
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/221407
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dc.description
Arbeit an der Bibliothek noch nicht eingelangt - Daten nicht geprüft
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dc.description.abstract
This thesis focuses on the development of stable finite element methods for the Reynolds equation in elastohydrodynamic lubrication (EHL) problems. Building upon existing stabilized methods for convection-diffusion problems, a hybrid discontinuous Galerkin (HDG) and a hybrid mixed three-field (HM3F) formulation are introduced and compared with the streamline upwind Petrov-Galerkin (SUPG) method. Furthermore, a mass-conserving cavitation model based on the Jakobsson-Floberg-Olsson (JFO) conditions is presented. The coupling of the Reynolds equation with elasticity, film thickness and load balance equations to obtain the EHL system is discussed for circular contact problems and problems with arbitrary geometries. The computational performance and the stability of the different finite element methods is assessed through numerical experiments.
en
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
Reynolds Gleichung
de
dc.subject
gemischte Finite Elemente Methoden
de
dc.subject
Reynolds equation
en
dc.subject
mixed finite elements
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dc.title
Stable finite element methods for the Reynolds equation in elastohydrodynamic lubrication problems
en
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2025.136549
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Christoph Leonhartsberger
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dc.publisher.place
Wien
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing