Control Of Coupled Partial Differential Equations (international Series Of Numerical Mathematics)
by Günter Leugering /
2007 / English / PDF
6.7 MB Download
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.
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.