Modeling and discretization methods for the numerical simulation of elastic stents
| dc.contributor.author | Grubišić, Luka | |
| dc.contributor.author | Ljulj, Matko | |
| dc.contributor.author | Mehrmann, Volker | |
| dc.contributor.author | Tambača, Josip | |
| dc.date.accessioned | 2021-12-17T10:16:10Z | |
| dc.date.available | 2021-12-17T10:16:10Z | |
| dc.date.issued | 2019-01-30 | |
| dc.description.abstract | A new model description for the numerical simulation of elastic stents is proposed. Based on the new formulation an inf-sup inequality for the finite element discretization is proved and the proof of the inf-sup inequality for the continuous problem is simplified. The new formulation also leads to faster simulation times despite an increased number of variables. The techniques also simplify the analysis and numerical solution of the evolution problem describing the movement of the stent under external forces. The results are illustrated via numerical examples. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15923 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14696 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | elastic stent | en |
| dc.subject.other | mathematical modeling | en |
| dc.subject.other | numerical simulation | en |
| dc.subject.other | mixed finite element formulation | en |
| dc.subject.other | stationary system | en |
| dc.subject.other | evolution equation | en |
| dc.title | Modeling and discretization methods for the numerical simulation of elastic stents | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2019, 01 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | finite element methods | en |
| tub.subject.msc2000 | junctions | en |
| tub.subject.msc2000 | elastic sten | en |
| tub.subject.msc2000 | mathematical modeling | en |
| tub.subject.msc2000 | numerical simulation | en |
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