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Automated shape differentiation in the Unified Form Language

Structural and Multidisciplinary Optimization (2019) 60(5) 1813-1820
DOI: 10.1007/s00158-019-02281-z
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Abstract

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 Gâteaux derivatives with respect to the coordinate field. We illustrate the ease of use with several examples.

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Ham, D. A., Mitchell, L., Paganini, A., & Wechsung, F. (2019). Automated shape differentiation in the Unified Form Language. Structural and Multidisciplinary Optimization, 60(5), 1813–1820. https://doi.org/10.1007/s00158-019-02281-z

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