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Titlebook: Constrained Optimization and Optimal Control for Partial Differential Equations; Günter Leugering,Sebastian Engell,Stefan Ulbrich Book 201

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Stabilization of Incompressible Flow Problems by Riccati-based Feedbacklem. For this purpose, algorithmic advances in solving the associated algebraic Riccati equations are needed and investigated here. The computational complexity of the new algorithms is essentially proportional to the simulation of the forward problem.
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https://doi.org/10.1007/978-3-211-75784-0ing from finite element discretizations in space are solved with the help of a primal-dual active set approach. We show several numerical computations also involving systems of parabolic variational inequalities.
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Measuring Ultrashort Optical Pulses,nd ill-posed formulations. A nonlinear Ritz-Galerkin method is applied for the discretization of the shape optimization problem. In case of well-posedness existence and convergence of the approximate shapes is proven. In combination with a fast boundary element method efficient first and second-order shape optimization algorithms are obtained.
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https://doi.org/10.1007/978-3-211-75784-0unction, we discuss in detail the choice of an appropriate control or design space preconditioner, discuss implementation issues and present a convergence analysis. We show numerical examples, among them applications from shape design in fluid mechanics and parameter optimization in a climate model.
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Automated Extension of Fixed Point PDE Solvers for Optimal Design with Bounded Retardationunction, we discuss in detail the choice of an appropriate control or design space preconditioner, discuss implementation issues and present a convergence analysis. We show numerical examples, among them applications from shape design in fluid mechanics and parameter optimization in a climate model.
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