Ham2019_Article_AutomatedShapeDifferentiationI.pdf (1.21 MB)
Automated shape differentiation in the Unified Form Language
journal contributionposted on 2020-04-06, 09:32 authored by DA Ham, L Mitchell, A Paganini, F Wechsung
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.
DAH is supported by the Natural Environment Research Council (grant no. NE/K008951/1). LM is supported by the Engineering and Physical Sciences Research Council (grant no. EP/L000407/1). FW is supported by the EPSRC Centre For Doctoral Training in Industrially Focused Mathematical Modelling (grant no. EP/L015803/1)
CitationHam, D.A., Mitchell, L., Paganini, A. et al. Automated shape differentiation in the Unified Form Language. Struct Multidisc Optim 60, 1813–1820 (2019). https://doi.org/10.1007/s00158-019-02281-z
Author affiliation/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics
- VoR (Version of Record)