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Structured Spatial Discretization of Dynamical Systems (CROSBI ID 637075)

Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija

Jokić, Marko ; Jokić, Andrej ; Dogančić, Bruno Structured Spatial Discretization of Dynamical Systems // Proceedings of VII European Congress on Computational Methods in Applied Sciences and Engineering / M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris (ur.). 2016

Podaci o odgovornosti

Jokić, Marko ; Jokić, Andrej ; Dogančić, Bruno

engleski

Structured Spatial Discretization of Dynamical Systems

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.

Spatial discretization ; Structured dynamical system ; Uncertainty modeling

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Podaci o prilogu

2016.

objavljeno

Podaci o matičnoj publikaciji

Proceedings of VII European Congress on Computational Methods in Applied Sciences and Engineering

M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris

Podaci o skupu

VII European Congress on Computational Methods in Applied Sciences and Engineering

predavanje

05.06.2016-10.06.2016

Kreta, Grčka

Povezanost rada

Strojarstvo