Preprint 01-2019

Modeling and discretization methods for the numerical simulation of elastic stents

Author(s) : Luka Grubisic , Matko Ljulj , Volker Mehrmann , Josip Tambaca

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 01-2019

MSC 2000

74S05 Finite element methods

74K30 Junctions

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.

Keywords : elastic stent, mathematical modeling, numerical simulation, mixed finite element formulation, stationary system, evolution equation