|
Showing 1 - 5 of
5 matches in All Departments
Interest in the area of control of systems defined by partial
differential Equations has increased strongly in recent years. A
major reason has been the requirement of these systems for sensible
continuum mechanical modelling and optimization or control
techniques which account for typical physical phenomena. Particular
examples of problems on which substantial progress has been made
are the control and stabilization of mechatronic structures, the
control of growth of thin films and crystals, the control of Laser
and semi-conductor devices, and shape optimization problems for
turbomachine blades, shells, smart materials and microdiffractive
optics. This volume contains original articles by world reknowned
experts in the fields of optimal control of partial differential
equations, shape optimization, numerical methods for partial
differential equations and fluid dynamics, all of whom have
contributed to the analysis and solution of many of the problems
discussed. The collection provides a state-of-the-art overview of
the most challenging and exciting recent developments in the field.
It is geared towards postgraduate students and researchers dealing
with the theoretical and practical aspects of a wide variety of
high technology problems in applied mathematics, fluid control,
optimal design, and computer modelling.
The application of PDE-based control theory and the
corresponding numerical algorithms to industrial problems have
become increasingly important in recent years. This volume offers a
wide spectrum of aspects of the discipline, and is of interest to
mathematicians and scientists working in the field.
The international Conference on Optimal Control of Coupled Systems
of Partial Di?erential Equations was held at the Mathematisches
Forschungsinstitut Ob- wolfach (www.mfo.de) from April, 17 to 23,
2005. The scienti?c program included 30 talks coveringvarious
topics as controllability,feedback-control,optimality s- tems,
model-reduction techniques, analysis and optimal control of ?ow
problems and ?uid-structure interactions, as well as problems of
shape and topology op- mization. The applications discussed during
the conference range from the op- mization and control of quantum
mechanical systems, the design of piezo-electric acoustic
micro-mechanical devices, optimal control of crystal growth, the
control of bodies immersed into a ?uid to airfoil design and much
more. Thus the app- cations are across all time and length scales.
Optimization and control of systems governed by partial di?erential
eq- tions and more recently by variational inequalities is a very
active ?eld of research in Applied Mathematics, in particular in
numerical analysis, scienti?c comp- ing and optimization. In order
to able to handle real-world applications, scalable and
parallelizable algorithms have to be designed, implemented and
validated. This requires an in-depth understanding of both the
theoretical properties and the numerical realization of such
structural insights. Therefore, a 'core' devel- ment within the
?eld of optimization with PDE-constraints such as the analysis of
control-and-state-constrained problems, the role of obstacles,
multi-phases etc. and an interdisciplinary 'diagonal' bridging
regarding applications and numerical simulation are most important.
This Teubner-Text contains selected contributions to the "10th
Conference on Problems and Methods in Mathematical Physics (10th
TMP)", held at the Technical University of Chemnitz-Zwickau in
Chemnitz, Germany, September 13 - 17, 1993. The main topics of the
conference were Scientific Computing in Solid and Fluid Mechanics
Problems with Singularities Boundary Integral Methods Multilevel
Finite Element Methods Free Boundary Value Problems and Optimal
Control Numerical Functional Analysis. The conference brought
together more than 170 experts from 17 countries, and the 18
plenary and invited lectures as well as the 120 short lectures were
devo- ted to plenty of problems and latest results in applied
mathematical research. Undoubtedly, the majority of these
contributions would have deserved publi- cation. However, this
volume does not intend to reflect the whole scientific contents of
the conference in the usual form of proceedings. It is rather
aiming at giving a survey of some recent trends in fields covered
by the topics of this meeting. The organizing committee hopes that
this Teubner-Text reflects the main spirit of the 10th TMP.
Die mathematische Theorie der optimalen Steuerung hat sich im
Zusammenhang mit Berechnungen fur die Luft- und Raumfahrt schnell
zu einem wichtigen und eigenstandigen Gebiet der angewandten
Mathematik entwickelt. Die optimale Steuerung durch partielle
Differentialgleichungen modellierter Prozesse wird eine numerische
Herausforderung der Zukunft sein. Im Buch werden entsprechende
Grundlagen mit langsam steigendem Schwierigkeitsgrad entwickelt. Es
enthalt viele Beispiele und eignet sich als Grundlage fur
Vorlesungen und Seminare.
Der Text wurde fur die 2. Auflage grundlegend uberarbeitet. Die
Darstellung der numerischen Methoden orientiert sich starker an den
konkret zu rechnenden Systemen. Neueste Ergebnisse zur maximalen
Regularitat parabolischer Differentialgleichungen sind
eingearbeitet.
Losungshinweise zu den Ubungsaufgaben findet der Studierende nun
im OnlinePLUS-Service des Verlages.
"
|
You may like...
Hampstead
Diane Keaton, Brendan Gleeson, …
DVD
R66
Discovery Miles 660
|