# Modeling and discretization methods for the numerical simulation of elastic stents

## TL;DR

This paper introduces a new model and discretization approach for simulating elastic stents, improving computational efficiency and simplifying analysis while maintaining accuracy, supported by numerical examples.

## Contribution

It presents a novel formulation for elastic stent simulation that simplifies analysis, proves an inf-sup inequality, and achieves faster computation despite more variables.

## Key findings

- Faster simulation times with the new formulation
- Simplified analysis of the evolution problem
- Validated results through numerical examples

## 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.