|
" Optimal Control of Partial Differential Equations "
edited by Karl-Heinz Hoffmann, Günter Leugering, Fredi Tröltzsch, Stiftung Caesar.
| Document Type
|
:
|
BL
|
| Record Number
|
:
|
577057
|
| Doc. No
|
:
|
b406276
|
| Main Entry
|
:
|
Hoffmann, Karl-Heinz.
|
| Title & Author
|
:
|
Optimal Control of Partial Differential Equations : International Conference in Chemnitz, Germany, April 20-25, 1998 /\ edited by Karl-Heinz Hoffmann, Günter Leugering, Fredi Tröltzsch, Stiftung Caesar.
|
| Publication Statement
|
:
|
Basel :: Birkhäuser Basel :: Imprint: Birkhäuser,, 1999.
|
| Series Statement
|
:
|
ISNM International Series of Numerical Mathematics ;; 133
|
| ISBN
|
:
|
9783034886918
|
|
|
:
|
: 9783034897310
|
| Contents
|
:
|
Well-posedness of Semilinear Heat Equations with Iterated Logarithms -- Uniform Stability of Nonlinear Thermoelastic Plates with Free Boundary Conditions -- Exponential Bases in Sobolev Spaces in Control and Observation Problems -- Sampling and Interpolation of Functions with Multi-Band Spectra and Controllability Problems -- Discretization of the Controllability Grammian in View of Exact Boundary Control: the Case of Thin Plates -- Stability of Holomorphic Semigroup Systems under Nonlinear Boundary Perturbations -- Shape Control in Hyperbolic Problems -- Second Order Optimality Conditions for Some Control Problems of Semilinear Elliptic Equations with Integral State Constraints -- Intrinsic P(2, 1) Thin Shell Models and Naghdi's Models without A Priori Assumption on the Stress Tensor -- On the Approximate Controllability for some Explosive Parabolic Problems -- Fréchet-Differentiability and Sufficient Optimality Conditions for Shape Functionals -- State Constrained Optimal Control for some Quasilinear Parabolic Equations -- Controllability property for the Navier-Stokes equations -- Shape Sensitivity and Large Deformation of the Domain for Norton-Hoff Flows -- On a Distributed Control Law with an Application to the Control of Unsteady Flow around a Cylinder -- Homogenization of a Model Describing Vibration of Nonlinear Thin Plates Excited by Piezopatches -- Stabilization of the Dynamic System of Elasticity by Nonlinear Boundary Feedback -- Griffith Formula and Rice-Cherepanov's Integral for Elliptic Equations with Unilateral Conditions in Nonsmooth Domains -- A Domain Optimization Problem for a Nonlinear Thermoelastic System -- Approximate Controllability for a Hydro-Elastic Model in a Rectangular Domain -- Noncooperative Games with Elliptic Systems -- Incomplete Indefinite Decompositions as Multigrid Smoothers for KKT Systems -- Domain Optimization for the Navier-Stokes Equations by an Embedding Domain Method -- On the Approximation and Optimization of Fourth Order Elliptic Systems -- On the Existence and Approximation of Solutions for the Optimal Control of Nonlinear Hyperbolic Conservation Laws -- Identification of Memory Kernels in Heat Conduction and Viscoelasticity -- Variational Formulation for Incompressible Euler Equation by Weak Shape Evolution.
|
| Abstract
|
:
|
The international Conference on Optimal Control of Partial Differential Equations was held at the Wasserschloss Klaffenbach, a recently renovated moated castle near Chemnitz (Germany), from April 20 to 25,1998. This conference has been an activ ity of the IFIP working group WG7.2. The organizers great fully acknowledge the generous financial support by the Deutsche Forschungsgemeinschaft (DFG), the Siichsisches Staatsministerium fur Wissenschaft und Kunst, the European Com munity, the LUK GmbHf3 Co. (Buhl, Germany), and the Technische Universitiit Chemnitz. The conference has been attended by more than 60 scientists from 15 countries. The scientific program included 40 invited talks in the area of optimization, optimal control and controllability, shape optimization and related mechanical modelling. The underlying idea was to enhance the flow of information in this vast area of important industrial applications between theorists and numerical analysts, and, hence, the topics of the talks have been selected towards a balanced presentation of the overall field. This volume contains 27 refereed original papers which can be classified as follows: 9 papers in controllablity, stabilizability and identifiability, 7 papers in optimal control, 6 papers in shape optimization and 5 papers on general modelling and qualitative issues related to partial differential equations. About one half of the papers can be classified as theoretical work, while the other part is devoted to algorithmic procedures and their numerical implementation.
|
| Subject
|
:
|
Mathematics.
|
| Added Entry
|
:
|
Leugering, Günter.
|
|
|
:
|
Tröltzsch, Fredi.
|
|
|
:
|
Caesar, Stiftung.
|
| Added Entry
|
:
|
SpringerLink (Online service)
|
| |