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http://dx.doi.org/10.18419/opus-11260
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.advisor | Röhrle, Oliver (Prof., PhD) | - |
dc.contributor.author | Hessenthaler, Andreas | - |
dc.date.accessioned | 2021-02-01T09:50:27Z | - |
dc.date.available | 2021-02-01T09:50:27Z | - |
dc.date.issued | 2020 | de |
dc.identifier.isbn | 978-3-946412-03-8 | - |
dc.identifier.other | 1746351837 | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-112779 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/11277 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-11260 | - |
dc.description.abstract | In this Ph.D. Thesis, multigrid-reduction-in-time (MGRIT) is considered as means to reduce the time-to-solution for numerical algorithms concerned with the solution of time-dependent partial differential equations (PDEs) arising in the field of fluid-structure interaction (FSI) modeling. As a parallel-in-time integration method, the MGRIT algorithm significantly increases the potential for parallel speedup by employing modern computer architectures, ranging from small-scale clusters to massively parallel high-performance computing platforms. In this work, the MGRIT algorithm is considered as a true multilevel method that can exhibit optimal scaling. Convergence of MGRIT is studied for the solution of linear and nonlinear (systems of) PDEs: from single- to multiphysics applications relevant to FSI problems in two and three dimensions. A multilevel convergence framework for MGRIT is derived that establishes a priori upper bounds and approximate convergence factors for a variety of cycling strategies (e.g., V- and F-cycles), relaxation schemes and parameter settings. The convergence framework is applied to a number of test problems relevant to FSI modeling, both linear and nonlinear as well as parabolic and hyperbolic in nature. An MGRIT variant is further proposed that exploits the time-periodicity that is present in many biomedical engineering applications, e.g., cyclic blood flow in the human heart. The time-periodic MGRIT algorithm proves capable of consistently reducing the time-to-solution of an existing simulation model with significant observed speedups. | en |
dc.language.iso | en | de |
dc.publisher | Stuttgart : Institute for Modelling and Simulation of Biomechanical Systems, Chair of Continuum Biomechanics and Mechanobiology, University of Stuttgart | de |
dc.relation.ispartofseries | CBM;4 | - |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.subject.ddc | 620 | de |
dc.title | Multilevel convergence analysis : parallel-in-time integration for fluid-structure interaction problems with applications in cardiac flow modeling | en |
dc.type | doctoralThesis | de |
ubs.dateAccepted | 2020-02-07 | - |
ubs.fakultaet | Bau- und Umweltingenieurwissenschaften | de |
ubs.institut | Institut für Modellierung und Simulation Biomechanischer Systeme | de |
ubs.publikation.seiten | xvi, 205 | de |
ubs.publikation.typ | Dissertation | de |
ubs.schriftenreihe.name | CBM | de |
ubs.thesis.grantor | Stuttgarter Zentrum für Simulationswissenschaften (SC SimTech) | de |
Enthalten in den Sammlungen: | 02 Fakultät Bau- und Umweltingenieurwissenschaften |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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Hessenthaler2020_PhD.pdf | 35,54 MB | Adobe PDF | Öffnen/Anzeigen |
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