+44 1865 615306
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
- Numerical analysis
- PDE-constrained optimization
- Shape calculus and shape optimization
Currently, I am working with Prof. Dr. Patrick Farrell on the optimization of tidal turbine arrays. This project is funded by EPSRC grant EP/M011151/1.
The title of my thesis reads: Numerical shape optimization with finite elements. In short, I have studied approximation of so-called shape gradients and have developed a shape optimization algorithm in the framework of finite element discretization of state constraints. Finally, I have applied these results to the optimization of optical microlenses.
Major / Recent Publications:
Higher-order moving mesh methods for PDE-constrained shape optimization, A. Paganini, F. Wechsung, and P. E. Farrell, submitted (2016, arxiv.org/abs/1706.03117)
Weakly-normal basis vector fields in RKHS with an application to shape Newton methods, A. Paganini and K. Sturm, submitted (2016, arXiv:1705.08463)
Approximate Riesz Representatives of Shape Gradients, R. Hiptmair and A. Paganini, 27th IFIP TC 7 Conference, CSMO 2015, pp. 399-409 (2016),
Shape Optimization of Microlenses, A. Paganini, S. Sargheini, R. Hiptmair, and Ch. Hafner, Opt. Express 23, pp. 13099-13107 (2015),
Shape Optimization by Pursuing Diffeomorphisms, R. Hiptmair and A. Paganini, Comput. Methods Appl. Math. 15(3), pp. 291-305 (2015),
Comparison of Approximate Shape Gradients, R. Hiptmair, A. Paganini and S. Sargheini, BIT Numerical Mathematics 55(2), pp 459-485 (2015).