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Systematic Discretization of Input/Output Maps

Name: Systematic Discretization of Input/Output Maps
Brand: VDM Verlag Dr. Mueller E.K.
SKU: 9783836487337
Price: 304.61 RON
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and Other Contributions to the Control of Distributed Parameter Systems with a Focus on Fluid Control

Autor: Michael Schmidt

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Legare: Carte broșată

Editura: VDM Verlag Dr. Mueller E.K.

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The control of physical systems which are described by partial differential equations is a very acti...

Informații despre carte

Autor

Michael Schmidt

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2008

Pagini

160

EAN

9783836487337

ISBN

3836487330

Enbook ID

07086616

Editura

VDM Verlag Dr. Mueller E.K.

Greutate

222

Dimensiuni

152 x 229 x 9

Descriere completă

The control of physical systems which are described by partial differential equations is a very active research field in the intersection of many engineering disciplines and natural sciences, not least mathematics. This book aims to make several contributions to this field with a focus on fluid control.§§As core of this book a new method for the reduction of the complexity of linear instationary systems with distributed parameters is proposed. Motivated by the idea, that the input/output map of a system contains the crucial information for controlling the system, the i/o map of the infinite-dimensional system is directly discretized in space and time. This discretization can then be represented by means of an i/o matrix, which is especially suited for the fast approximate solution of optimization problems. Analytical error estimates are established, and numerical examples are shown for the heat equation and for the Stokes equations.§§Moreover, this book deals with the controllability of so-called Couette flows, with some aspects of adaptive finite element discretizations and with i/o software interfaces for CFD codes. The control of physical systems which are described by partial differential equations is a very active research field in the intersection of many engineering disciplines and natural sciences, not least mathematics. This book aims to make several contributions to this field with a focus on fluid control.§As core of this book a new method for the reduction of the complexity of linear instationary systems with distributed parameters is proposed. Motivated by the idea, that the input/output map of a system contains the crucial information for controlling the system, the i/o map of the infinite-dimensional system is directly discretized in space and time. This discretization can then be represented by means of an i/o matrix, which is especially suited for the fast approximate solution of optimization problems. Analytical error estimates are established, and numerical examples are shown for the heat equation and for the Stokes equations.§Moreover, this book deals with the controllability of so-called Couette flows, with some aspects of adaptive finite element discretizations and with i/o software interfaces for CFD codes.

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Systematic Discretization of Input/Output Maps

and Other Contributions to the Control of Distributed Parameter Systems with a Focus on Fluid Control

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