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Author Potschka, Andreas, author

Title Direct method for parabolic PDE constrained optimization problems / Andreas Potschka
Published Heidelberg : Springer Spektrum, [2014]
©2014
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Description 1 online resource (220 pages) : illustrations
Series Advances in numerical mathematics
Vieweg+Teubner research. Advances in numerical mathematics. 1616-2994
Contents Part I. Theoretical foundations -- Problem formulation tAndreas Potschka -- Direct Optimization: Problem discretization tAndreas Potschka -- Elements of optimization theory tAndreas Potschka -- Part II. Numerical methods -- Inexact Sequential Quadratic Programming tAndreas Potschka -- Newton-Picard preconditioners tAndreas Potschka -- One-shot one-step methods and their limitations tAndreas Potschka -- Condensing tAndreas Potschka -- A Parametric Active Set method for QP solution tAndreas Potschka -- Automatic derivative generation tAndreas Potschka -- The software package MUSCOP tAndreas Potschka -- Part III. Applications and numerical results -- Linear boundary control for the periodic 2D heat equation tAndreas Potschka -- Nonlinear boundary control of the periodic 1D heat equation tAndreas Potschka -- Optimal control for a bacterial chemotaxis system tAndreas Potschka -- Optimal control of a Simulated Moving Bed process
Summary Describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem
Bibliography Includes bibliographical references
Subject Mathematical models.
Mathematics.
Form Electronic book
ISBN 3658044764 (electronic bk.)
9783658044763 (electronic bk.)