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On the Shape Gradient and Shape Hessian of a Shape Functional Subject to Dirichlet and Robin Conditions

並列摘要


This paper focuses on minimizing a shape functional through the solution of a Pure Dirichlet boundary value problem, and a Dirichlet-Robin boundary value problem. This shape optimization problem is a variant of the Kohn-Vogelius shape optimization formulation of a Bernoulli free boundary problem. The first- and second-order shape derivatives of the cost functional under consideration are explicitly derived. Interestingly, the present findings coincide with the existing results regarding solutions to the Bernoulli problem.

被引用紀錄


張皖茜(2008)。以角色為基礎且具階層式情境角色的權限控管系統間角色對應之研究與討論〔碩士論文,中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu200900395
陳律圜(2016)。不同悲劇事件下,個人心理特質對幸災樂禍與歸因之效果〔碩士論文,國立中正大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0033-2110201614054068

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