Title
Direct solution method for the equilibrium problem for elastic stents.
Abstract
We are interested in numerical methods for approximating vector-valued functions on a metric graph. As a model problem, we formulate and analyze a numerical method for the solution of the stationary problem for the one-dimensional elastic stent model. The approximation is built using the mixed finite element method. The discretization matrix is a symmetric saddle-point matrix, and we discuss sparse direct methods for the fast and robust solution of the associated equilibrium system. The convergence of the numerical method is proven and the error estimate is obtained. Numerical examples confirm the theoretical estimates.
Year
DOI
Venue
2019
10.1002/nla.2231
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
Keywords
DocType
Volume
approximation estimates,endovascular stents,finite element method
Journal
26.0
Issue
ISSN
Citations 
3.0
1070-5325
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
luka grubisic132.80
Josip Tambaca200.34