82 citations · 134 across the 16 of their papers we have counts for
4 papers · 1 filter
Stationary Surfaces with Boundaries
Anthony Gruber, Magdalena Toda, Hung Tran
This article investigates stationary surfaces with boundaries, which arise as the critical points of functionals dependent on curvature. Precisely, a generalized "bending energy" f…
Computational p-Willmore Flow with Conformal Penalty
Anthony Gruber, Eugenio Aulisa
The unsigned p-Willmore functional introduced in \cite{mondino2011} generalizes important geometric functionals which measure the area and Willmore energy of immersed surfaces. Pre…
Active Manifolds: A non-linear analogue to Active Subspaces
Robert A. Bridges, Anthony D. Gruber, Christopher Felder +2
We present an approach to analyze functions that addresses limitations present in the Active Subspaces (AS) method of Constantine et al.(2015; 2014). Under appr…
On the variation of curvature functionals in space forms with application to a generalized Willmore energy
Anthony Gruber, Magdalena Toda, Hung Tran
Functionals involving surface curvature are important across a range of scientific disciplines, and their extrema are representative of physically meaningful objects such as atomic…