30 citations · 63 across the 6 of their papers we have counts for
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math.NA2017★ 1 cited
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…
math.OC2017
Weakly-normal basis vector fields in RKHS with an application to shape Newton methods
Alberto Paganini, Kevin Sturm
We construct a space of vector fields that are normal to differentiable curves in the plane. Its basis functions are defined via saddle point variational problems in reproducing ke…