30 citations · 63 across the 6 of their papers we have counts for
3 papers · 1 filter
Control of bifurcation structures using shape optimization
Nicolas Boullé, Patrick E. Farrell, Alberto Paganini
Many problems in engineering can be understood as controlling the bifurcation structure of a given device. For example, one may wish to delay the onset of instability, or bring for…
Automated shape differentiation in the Unified Form Language
David A. Ham, Lawrence Mitchell, Alberto Paganini +1
We discuss automating the calculation of weak shape derivatives in the Unified Form Language (Alnæs et al., ACM Trans. Math. Softw., 2014) by introducing an appropriate additional…
Higher-order moving mesh methods for PDE-constrained shape optimization
A. Paganini, F. Wechsung, P. E. Farrell
We present a new approach to discretizing shape optimization problems that generalizes standard moving mesh methods to higher-order mesh deformations and that is naturally compatib…