Titlebook: Control and Estimation of Distributed Parameter Systems; International Confer W. Desch,F. Kappel,K. Kunisch Conference proceedings 2003 Spr

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Mesh Adaptation for Parameter Identification Problems,thod on locally refined meshes. The idea is to solve the inverse problem on a cheap discrete model which still captures the “essential” features of the physical problem under consideration. To this end, we derive an a posteriori error estimator for the error with respect to the unknown parameter. Th

Oafishness

On the Long Time Behavior of Approximating Dynamical Systems,. We show that stable and consistent approximating schemes can produce numerical solutions that do not correspond to the correct asymptotic solutions of the differential equation. In addition, we show that this problem cannot be avoided by placing additional side conditions on the boundary value pro

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Error Estimates in Space and Time for Tracking-type Control of the Instationary Stokes System,ions, the solution is approximated by finite elements in space and implicitly in time. We prove optimal error estimates for the resulting fully-discrete scheme and present numerical examples that confirm our results.

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Modeling and Control of Asymptotic Shells, and studied in [.]. This asymptotic model involved a system of two equations: a generalized membrane shell equation and a generalized bending equation for the projection of the asymptotic solution onto the space of inextensible deformations. A new choice of the projection leads to the disappearance

chassis

Unbounded Observers and Riccati Operators in Nonreflexive Spaces, unbounded (the control operator has range in the extrapolated Favard class, the observation operator is defined on the Favard class). We prove the existence of the Riccati operator synthetizing the optimal solution in the feedback form, describing the value functional and satisfying the algebraic R

HARD

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,Pontryagin’s Maximum Principle via Singular Perturbations,lic equation coupled with an ordinary differential equation in a Banach space. Systems of this type typically arise in modelling population dynamics in a contaminated environment. For the regularization, Ekeland’s variational principle in combination with a singular perturbation technique is used.