Automated shape differentiation in the Unified Form Language

Autor: Ham, David A., Mitchell, Lawrence, Paganini, Alberto, Wechsung, Florian
Rok vydání: 2018
Předmět:
Zdroj: Structural and Multidisciplinary Optimization 60:1813-1820 (2019)
Druh dokumentu: Working Paper
DOI: 10.1007/s00158-019-02281-z
Popis: We discuss automating the calculation of weak shape derivatives in the Unified Form Language (Aln{\ae}s et al., ACM Trans. Math. Softw., 2014) by introducing an appropriate additional step in the pullback from physical to reference space that computes G\^ateaux derivatives with respect to the coordinate field. We illustrate the ease of use with several examples.
Databáze: arXiv