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

Result code in IS VaVaI
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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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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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