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Titlebook: A Direct Method for Parabolic PDE Constrained Optimization Problems; Andreas Potschka Book 2014 Springer Fachmedien Wiesbaden 2014 nonline

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發(fā)表于 2025-3-21 20:01:11 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱A Direct Method for Parabolic PDE Constrained Optimization Problems
影響因子2023Andreas Potschka
視頻videohttp://file.papertrans.cn/141/140688/140688.mp4
發(fā)行地址Publication in the field of natural sciences.Includes supplementary material:
學(xué)科分類Advances in Numerical Mathematics
圖書(shū)封面Titlebook: A Direct Method for Parabolic PDE Constrained Optimization Problems; Andreas Potschka Book 2014 Springer Fachmedien Wiesbaden 2014 nonline
影響因子Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author 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.
Pindex Book 2014
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Agricultural Use of Groundwater disadvantages in Section 3.1 in comparison with alternative approaches. In Sections 3.2 and 3.3 we discretize OCP (2.6) in two steps. First we discretize in space and obtain a large-scale ODE constrained OCP which we then discretize in time to obtain a large-scale Nonlinear Programming Problem (NLP
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Javier Calatrava,Alberto Garrido in Section 5.1 and investigate their local convergence in Section 5.2. In Section 5.3 we review strategies for the globalization of convergence and explain a different approach based on generalized level functions and monotonicity tests. An example in Section 5.4 illustrates the shortcomings of glo
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Agricultural Use of Groundwatere-step methods. We shall explain this class of problems and see that in the general case no such result as Theorem 6.7 for the model problem (6.1) is possible. For completeness we quote large passages of the article Bock et al. [28] with modifications concerning references to other parts of this the
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