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Titlebook: Large-Scale PDE-Constrained Optimization in Applications; Subhendu Bikash Hazra Book 20101st edition Springer-Verlag Berlin Heidelberg 201

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书目名称Large-Scale PDE-Constrained Optimization in Applications
编辑Subhendu Bikash Hazra
视频video
概述Presents recent research in multiphase flow through porous media involving real experimental data.The Development of the method is presented in a systematic way starting from the "grass-root" level
丛书名称Lecture Notes in Applied and Computational Mechanics
图书封面Titlebook: Large-Scale PDE-Constrained Optimization in Applications;  Subhendu Bikash Hazra Book 20101st edition Springer-Verlag Berlin Heidelberg 201
描述With continuous development of modern computing hardware and applicable - merical methods, computational ?uid dynamics (CFD) has reached certain level of maturity so that it is being used routinely by scientists and engineers for ?uid ?ow analysis. Since most of the real-life applications involve some kind of optimization, it has been natural to extend the use of CFD tools from ?ow simulation to simu- tion based optimization. However, the transition from simulation to optimization is not straight forward, it requires proper interaction between advanced CFD meth- ologies and state-of-the-art optimization algorithms. The ultimate goal is to achieve optimal solution at the cost of few ?ow solutions. There is growing number of - search activities to achieve this goal. This book results from my work done on simulation based optimization problems at the Department of Mathematics, University of Trier, and reported in my postd- toral thesis (”Habilitationsschrift”) accepted by the Faculty-IV of this University in 2008. The focus of the work has been to develop mathematical methods and - gorithms which lead to ef?cient and high performance computational techniques to solve such optimization
出版日期Book 20101st edition
关键词Navier-Stokes equation; RSI; algorithm; algorithms; linear optimization; mathematical modeling; mechanical
版次1
doihttps://doi.org/10.1007/978-3-642-01502-1
isbn_softcover978-3-642-26388-0
isbn_ebook978-3-642-01502-1Series ISSN 1613-7736 Series E-ISSN 1860-0816
issn_series 1613-7736
copyrightSpringer-Verlag Berlin Heidelberg 2010
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发表于 2025-3-21 22:25:14 | 显示全部楼层
Book 20101st edition of maturity so that it is being used routinely by scientists and engineers for ?uid ?ow analysis. Since most of the real-life applications involve some kind of optimization, it has been natural to extend the use of CFD tools from ?ow simulation to simu- tion based optimization. However, the transit
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Aerodynamic Shape Optimization Using Simultaneous Pseudo-Time-Steppingaluable in practice since it provides with multiple alternatives to the designer. The best designs identified by numerical computations are confirmed for a decision by the wind tunnel experiment. Mathematically such shape design problems can be formulated as a control problem for systems governed by PDEs [90].
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Multigrid One-Shot Pseudo-Time-Stepping Method for State Constrained Aerodynamic Shape Optimizationnging, and also more demanding, than those discussed in the previous chapter. Any reduction of computational cost of these problems pose a great challenge, since achieving the optimality faster leads to loss of feasibility of the constraint. We extend the multigrid strategy for these problems in this chapter.
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