Automated shape differentiation in the Unified Form Language
Version 2 2020-04-06, 09:32
Version 1 2020-04-06, 09:30
journal contribution
posted on 2020-04-06, 09:32 authored by DA Ham, L Mitchell, A Paganini, F WechsungWe 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.
Funding
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)
History
Citation
Ham, 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-zAuthor affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- VoR (Version of Record)
Published in
Structural and Multidisciplinary OptimizationVolume
60Pagination
1813–1820Publisher
Springer Verlag (Germany) for International Society of Structural and Multidisciplinary Optimization (ISSMO)eissn
1615-1488Acceptance date
2019-04-11Copyright date
2019Available date
2019-08-02Publisher DOI
Publisher version
https://link.springer.com/article/10.1007/s00158-019-02281-zNotes
The code for the numerical experiments is available at Software used in ‘Automated shape differentiation in the Unified Form Language’ (2019).Language
enAdministrator link
Usage metrics
Categories
No categories selectedLicence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC