Second-order shape derivatives along normal trajectories, governed by Hamilton-Jacobi equations
نویسندگان
چکیده
منابع مشابه
Second-order shape derivatives along normal trajectories, governed by Hamilton-Jacobi equations
In this paper we introduce a new variant of shape differentiation which is adapted to the deformation of shapes along their normal direction. This is typically the case in the level-set method for shape optimization where the shape evolves with a normal velocity. As all other variants of the orginal Hadamard method of shape differentiation, our approach yields the same first order derivative. H...
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ژورنال
عنوان ژورنال: Structural and Multidisciplinary Optimization
سال: 2016
ISSN: 1615-147X,1615-1488
DOI: 10.1007/s00158-016-1514-2