Naslov
Modeling and discretization methods for elastic frame structures

Autori
Tambača, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
The sixth Najman conference on spectral theory and differential equations

Mjesto i datum
Sveti Martin na Muri, Hrvatska, 08.09.2019. - 13.09.2019

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
elastic frame structure ; elastic stent ; mathematical modeling ; numerical simulation ; mixed finite element formulation ; inf-sup condition ; stationary system ; evolution equation

Sažetak
In this talk we will review modeling of elastic frame stuctures with particular emphasis on elastic stents using, simple, one-dimensional model. A new overall model description will be 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. This is a joint work with Luka Grubišić, Matko Ljulj and Volker Mehrmann.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA