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Titlebook: Optimization with PDE Constraints; ESF Networking Progr Ronald Hoppe Book 2014 Springer International Publishing Switzerland 2014 Adaptive

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發(fā)表于 2025-3-21 19:30:43 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Optimization with PDE Constraints
副標(biāo)題ESF Networking Progr
編輯Ronald Hoppe
視頻videohttp://file.papertrans.cn/704/703311/703311.mp4
概述Presents the development, analysis and application of new, innovative mathematical techniques for the solution of constrained optimization problems.Covers important applications in automotive and aero
叢書(shū)名稱(chēng)Lecture Notes in Computational Science and Engineering
圖書(shū)封面Titlebook: Optimization with PDE Constraints; ESF Networking Progr Ronald Hoppe Book 2014 Springer International Publishing Switzerland 2014 Adaptive
描述This book on PDE Constrained Optimization contains contributions on the mathematical analysis and numerical solution of constrained optimal control and optimization problems where a partial differential equation (PDE) or a system of PDEs appears as an essential part of the constraints. The appropriate treatment of such problems requires a fundamental understanding of the subtle interplay between optimization in function spaces and numerical discretization techniques and relies on advanced methodologies from the theory of PDEs and numerical analysis as well as scientific computing. The contributions reflect the work of the European Science Foundation Networking Programme ’Optimization with PDEs’ (OPTPDE).
出版日期Book 2014
關(guān)鍵詞Adaptive Finite Elements; Bisection Methods for Mesh Generation; Compressible Navier-Stokes Equations;
版次1
doihttps://doi.org/10.1007/978-3-319-08025-3
isbn_softcover978-3-319-36152-9
isbn_ebook978-3-319-08025-3Series ISSN 1439-7358 Series E-ISSN 2197-7100
issn_series 1439-7358
copyrightSpringer International Publishing Switzerland 2014
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Two-Sided Guaranteed Estimates of the Cost Functional for Optimal Control Problems with Elliptic St applied to approximate solutions of state equations, then we obtain new variational formulations of optimal control problems and guaranteed bounds of the cost functional. Moreover, for problems with linear state equations this procedure leads to guaranteed and computable error estimates for the state and control functions.
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Book 2014etization techniques and relies on advanced methodologies from the theory of PDEs and numerical analysis as well as scientific computing. The contributions reflect the work of the European Science Foundation Networking Programme ’Optimization with PDEs’ (OPTPDE).
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Numerical Solution of 2D Contact Shape Optimization Problems Involving a Solution-Dependent Coefficmethod. In each step of the method, the state problem is solved by the method of successive approximations and necessary subgradient information is computed using the generalized differential calculus of B.?Mordukhovich.
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Recent Results in Shape Optimization and Optimal Control for PDEs,lassical Dynamic Programming approach. We?look for an approximation of the value function characterized as the weak solution (in the viscosity sense) of the corresponding Hamilton-Jacobi equation. Several tests illustrate the main features of the above methods.
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