<div class="csl-bib-body">
<div class="csl-entry">Salzmann, E., Zwicke, F., & Elgeti, S. (2021). Computing the jump-term in space-time FEM for arbitrary temporal interpolation. In <i>Congresos UPV. Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference [Book of extended abstracts]</i> (pp. 223–231). Editorial Universitat Politècnica de València,. https://doi.org/10.4995/YIC2021.2021.12588</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/175899
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dc.description.abstract
One approach with rising popularity in analyzing time-dependent problems in sci-ence and engineering is the so-called space-time finite element method that utilizes finite ele-ments in both space and time. A common ansatz in this context is to divide the mesh in temporaldirection into so-called space-time slabs, which are subsequently weakly connected in time with adiscontinuous galerkin approach. The corresponding jump-term, which is responsible for impos-ing the weak continuity across space-time slabs, can be challenging to compute, in particular inthe context of deforming domains. Ensuring a conforming discretization of the space-time slabat the top and bottom in time direction simplifies the handling of this term immensely. Other-wise, a computationally expensive and error prone projection of the solution from one time-levelto another is necessary. However, when it comes to simulations with deformable domains, e.g.for free-surface flows, ensuring conforming meshes is quite laborious. A possible solution to thischallenge is to extrude a spatial mesh in time at each time-step resulting in the so-called time-discontinuous prismatic space-time (D-PST) method [1]. However, this procedure is restrictedto finite-elements of 1st order in time. We present a novel algorithmic approach for arbitrarilydiscretized meshes by flipping the mesh in time-direction for each time-step. This ansatz allowsfor a simple evaluation of the jump-term as the mesh is always conforming. The cost of flippingthe mesh around its symmetry plane in time scales with the number of nodes, which makes itcomputationally cheaper than an additional update of the mesh to enforce conformity or theevaluation of a projection. We validate the approach on various physical problems with andwithout deforming domains.
en
dc.language.iso
en
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dc.rights.uri
http://creativecommons.org/licenses/by-nc-sa/4.0/
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dc.subject
finite-elements
en
dc.subject
space-time
en
dc.subject
deforming domains
en
dc.subject
discontinuous galerkin
en
dc.title
Computing the jump-term in space-time FEM for arbitrary temporal interpolation
en
dc.type
Inproceedings
en
dc.type
Konferenzbeitrag
de
dc.rights.license
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International
en
dc.rights.license
Creative Commons Namensnennung - Nicht-kommerziell - Weitergabe unter gleichen Bedingungen 4.0 International
de
dc.contributor.affiliation
RWTH Achen University, Germany
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dc.relation.isbn
978-84-9048-969-7
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dc.relation.doi
10.4995/YIC2021.2021.15320
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dc.description.startpage
223
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dc.description.endpage
231
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dc.rights.holder
The authors
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dc.type.category
Abstract Book Contribution
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tuw.booktitle
Congresos UPV. Proceedings of the YIC 2021 - VI ECCOMAS Young Investigators Conference [Book of extended abstracts]
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tuw.relation.publisher
Editorial Universitat Politècnica de València,
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tuw.researchTopic.id
C4
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tuw.researchTopic.id
C6
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.name
Modeling and Simulation
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tuw.researchTopic.value
50
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tuw.researchTopic.value
50
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tuw.publication.orgunit
E317-01 - Forschungsbereich Leichtbau
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tuw.publisher.doi
10.4995/YIC2021.2021.12588
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dc.identifier.libraryid
AC17203894
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dc.description.numberOfPages
9
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tuw.author.orcid
0000-0002-4474-1666
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dc.rights.identifier
CC BY-NC-SA 4.0
de
dc.rights.identifier
CC BY-NC-SA 4.0
en
tuw.event.name
The 6th ECCOMAS Young Investigators Conference (YIC2021)
en
tuw.event.startdate
07-07-2021
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tuw.event.enddate
09-07-2021
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tuw.event.online
Online
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tuw.event.type
Event for scientific audience
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tuw.event.place
Valencia
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tuw.event.country
ES
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tuw.event.presenter
Salzmann, Eugen
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tuw.presentation.online
Online
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wb.sciencebranch
Maschinenbau
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wb.sciencebranch.oefos
2030
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wb.sciencebranch.value
100
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item.openaccessfulltext
Open Access
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item.cerifentitytype
Publications
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item.languageiso639-1
en
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item.openairecristype
http://purl.org/coar/resource_type/c_5794
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item.grantfulltext
open
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item.fulltext
with Fulltext
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item.mimetype
application/pdf
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item.openairetype
conference paper
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crisitem.author.dept
RWTH Achen University, Germany
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crisitem.author.dept
E317-01-1 - Forschungsgruppe Numerische Analyse- und Designmethoden
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crisitem.author.dept
E317-01 - Forschungsbereich Leichtbau
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crisitem.author.orcid
0000-0002-4474-1666
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crisitem.author.parentorg
E317-01 - Forschungsbereich Leichtbau
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crisitem.author.parentorg
E317 - Institut für Leichtbau und Struktur-Biomechanik