Naslov
Structured Spatial Discretization of Dynamical Systems

Autori
Jokić, Marko ; Jokić, Andrej ; Dogančić, Bruno

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of VII European Congress on Computational Methods in Applied Sciences and Engineering / M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris - , 2016

Skup
VII European Congress on Computational Methods in Applied Sciences and Engineering

Mjesto i datum
Kreta, Grčka, 05.06.2016. - 10.06.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Spatial discretization ; Structured dynamical system ; Uncertainty modeling

Sažetak
This paper deals with spatial discretization of dynamical systems, such that the resulting discretized model is structured as a set of interconnected subsystems. We start by dis- cretizing a dynamical system using an appropriate method (e.q. the finite element method) and discuss a general framework for partitioning a single discretized system into two interconnected systems. As it turns out, partitioning the discretized system into a set of interconnected systems appears to be a straightforward extension of the proposed procedure — we simply recursively apply the procedure. When doing so, we derive a general condition for preserving the inter- connection structure, i.e. a necessary condition on the discretized system matrices such that the interconnection graph between the resulting subsystems matches the interconnection graph between the respective physical subdomains of the original system. This framework allows us to address a local discretization error (i.e. an error in a subsystem) influence on the overall sys-tem response. Furthermore, by considering a series of successively finer discretizations of an individual subsystem, we are able to construct a series of successively finer discretized system models with respective uncertainties.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

POVEZANOST RADA