An unconditionally stable approximation of a circular flexible plate described by a fourth order partial differential equation

Result code in IS VaVaI

RIV/67985556:_____/16:00462241 - isvavai.cz

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

An unconditionally stable approximation of a circular flexible plate described by a fourth order partial differential equation

Original language description

An unconditionally stable finite difference scheme for systems whose dynamics are described by a second-order partial differential equation is developed with use of regular hexagonal grid. The scheme is motivated by the well-known Crank-Nicolson discretization which was developed for first-order systems. The stability of the finite-difference scheme is analyzed by von Neumann’s method. Using the new scheme, a discrete in time and space model of a deformable mirror is derived as the basis for control law design. The convergence of this scheme for various values of the discretization parameters is checked by numerical simulations.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BC - Theory and management systems

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

Proceedings of the 21st International Conference on Methods and Models in Automation & Robotics

ISBN

978-1-5090-1867-3

ISSN

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e-ISSN

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Number of pages

6

Pages from-to

1039-1044

Publisher name

IEEE

Place of publication

Międzyzdroje

Event location

Amber Baltic Hotel, Międzyzdroje

Event date

Aug 29, 2016

Type of event by nationality

EUR - Evropská akce

UT code for WoS article

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