30 citations · 63 across the 6 of their papers we have counts for
9 papers
Controlling the energy jump of multistable structures using shape optimization
Arselane Hadj Slimane, Patrick E. Farrell, Alberto Paganini +1
Multistable systems admit distinct stable equilibria for the same loading and boundary conditions. Shape optimization of multistable structures offers a promising route to engineer…
G-Adaptivity: optimised graph-based mesh relocation for finite element methods
James Rowbottom, Georg Maierhofer, Teo Deveney +6
We present a novel, and effective, approach to achieve optimal mesh relocation in finite element methods (FEMs). The cost and accuracy of FEMs is critically dependent on the choice…
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…
Fast and accurate approximation of the angle-averaged redistribution function for polarized radiation
A. Paganini, B. Hashemi, E. Alsina Ballester +1
Modeling spectral line profiles taking frequency redistribution effects into account is a notoriously challenging problem from the computational point of view, especially when pola…
Fireshape: a shape optimization toolbox for Firedrake
Alberto Paganini, Florian Wechsung
We introduce Fireshape, an open-source and automated shape optimization toolbox for the finite element software Firedrake. Fireshape is based on the moving mesh method and allows u…
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…
Formal solutions for polarized radiative transfer. III. Stiffness and instability
Gioele Janett, Alberto Paganini
Efficient numerical approximation of the polarized radiative transfer equation is challenging because this system of ordinary differential equations exhibits stiff behavior, which…
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…
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…