Automated shape differentiation in the Unified Form Language

被引：12
|
作者：
Ham, David A. [1 ]
Mitchell, Lawrence [2 ]
Paganini, Alberto [3 ]
Wechsung, Florian [3 ]
机构：
[1] Imperial Coll London, Dept Math, London SW7 2AZ, England
[2] Univ Durham, Dept Comp Sci, Durham DH1 3LE, England
[3] Univ Oxford, Math Inst, Oxford OX2 6GG, England
来源：
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2019年 / 60卷 / 05期
基金：
英国工程与自然科学研究理事会;
关键词：
Shape derivatives; Finite elements; OPTIMIZATION; DOMAIN;
D O I：
10.1007/s00158-019-02281-z
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We discuss automating the calculation of weak shape derivatives in the Unified Form Language (ACM TOMS 40(2):9:1-9:37 2014) by introducing an appropriate additional step in the pullback from physical to reference space that computes Gateaux derivatives with respect to the coordinate field. We illustrate the ease of use with several examples.
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页码：1813 / 1820
页数：8
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