Adaptive Finite Element Methods for Optimal Control Governed by PDEs C Series in Information and Computational Science 41 - Softcover

 
9787030222565: Adaptive Finite Element Methods for Optimal Control Governed by PDEs C Series in Information and Computational Science 41

Synopsis

本书主要介绍最优控制自适应有限元方法的理论、计算和应用。全书首先简要介绍了偏微分方程最优控制的一些模型问题、应用背景、存在性及最优性条件等基本理论,然后以椭圆型方程最优控制为主,介绍了最优控制的有限元方法。此外,本书还详细介绍了最优控制的数值计算方法,并给出了一些算例。本书为英文版。Chapter1IntroductionChapter2ExistenceandOptimalityConditionsofOptimalControlChapter3FiniteElementApproximationofOptimalControlChapter4APrioriErrorEstimatesforOptimalControl(I)Chapter5APrioriErrorEstimatesforOptimalControl(II)Chapter6AdaptivityFiniteElementMethodforOptimalControlChapter7APosterioriErrorEstimatesforOptimalControlChapter8NumericalComputationsofOptimalControlChapter9RecoveryBasedaPosterioriErrorEstimatorsChapter10AdaptiveMixedFiniteElementMethodforOptimalContro

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