出版社：科学出版社
年代：2008
定价：46.0
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。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。
Chapter1Introduction
1.1Examplesofoptimalcontrolforellipticsystems
1.2Examplesofoptimalcontrolforevolutionequations
1.3Examplesofoptimalcontrolforflow
1.4Shapeoptimalcontrol
Chapter2ExistenceandOptimalityConditionsofOptimalControl
2.1Existenceofoptimalcontrol
2.2Optimalityconditionsofoptimalcontrol
Chapter3FiniteElementApproximationofOptimalControl
3.1Finiteelementschemesforellipticoptimalcontrol
3.2Mixedfiniteelementschemesforellipticoptimalcontrol
3.3OptimalcontrolgovernedbyStokesequations
3.4Finiteelementmethodforboundarycontrol
Chapter4APrioriErrorEstimatesforOptimalControl(I)
4.1Apriorierrorestimatesfordistributedellipticcontrol
4.2Apriorierrorestimatesforellipticboundarycontrol
4.3Superconvergenceanalysisfordistributedellipticcontrol
4.4Furtherdevelopmentsonsuperconvergence
Chapter5APrioriErrorEstimatesforOptimalControl(II)
5.1ApriorierrorestimatesofmixedFEMforellipticcontrol
5.2SuperconvergenceofmixedFEMforellipticcontrol
5.3ApriorierrorestimatesforStokescontrol
5.4SuperconvergenceforStokescontrol
Chapter6AdaptivityFiniteElementMethodforOptimalControl
6.1Adaptivefiniteelementmethodforellipticequations
6.2Adaptivefiniteelementmethodforoptimalcontrol
Chapter7APosterioriErrorEstimatesforOptimalControl
7.1Aposteriorierrorestimatesfordistributedcontrol
7.2Aposteriorierrorestimateswithlowerandupperbounds
7.3Sharpaposteriorierrorestimatesforconstraintsofobstacletype
7.4AposteriorierrorestimatesinL2-norm
7.5Aposteriorierrorestimatesfornonlinearcontrol
7.6Aposteriorierrorestimatesforboundarycontrol
Chapter8NumericalComputationsofOptimalControl
8.1Numericalsolutionsofoptimalcontrol
8.2Apreconditionedprojectionalgorithm
8.3NumericalExperiments
8.4Appendix-L2-Projectorstosomeclosedconvexsubsets
Chapter9RecoveryBasedaPosterioriError
Themainideausedinerroranalysisistofirstcombineconvexanalysisandinterpolationerrorestimationsofsuitableinterpolators,whichmuchdependonthestructureofthecontrolconstraints,inordertoderiveerrorestimatesforthecontrolviathevariationalinequalitiesintheoptimalityconditions,andthentoapplythestandardtechniquesforderivingerrorestimatesforthestateequations.
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| 书名 | 偏微分方程系统最优控制的自适应有限元方法站内查询相似图书 | ||
| 丛书名 | 信息与计算科学丛书 | ||
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| 出版地 | 北京 | 出版单位 | 科学出版社 |
| 版次 | 1版 | 印次 | 1 |
| 定价(元) | 46.0 | 语种 | 英文 |
| 尺寸 | 24 | 装帧 | 平装 |
| 页数 | 印数 | ||
偏微分方程系统最优控制的自适应有限元方法是科学出版社于2008.出版的中图分类号为 O241.82 的主题关于 偏微分方程－最佳控制系统－有限元法－英文 的书籍。