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Main Title: Modeling and discretization methods for the numerical simulation of elastic stents
Author(s): Grubišić, Luka
Ljulj, Matko
Mehrmann, Volker
Tambača, Josip
Type: Research Paper
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.
Subject(s): elastic stent
mathematical modeling
numerical simulation
mixed finite element formulation
stationary system
evolution equation
Issue Date: 30-Jan-2019
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: finite element methods
elastic sten
mathematical modeling
numerical simulation
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2019, 01
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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