145 citations · 609 across the 61 of their papers we have counts for
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LDG approximation of large deformations of prestrained plates
Andrea Bonito, Diane Guignard, Ricardo H. Nochetto +1
A reduced model for large deformations of prestrained plates consists of minimizing a second order bending energy subject to a nonconvex metric constraint. The former involves the…
Equilibrium analysis of an immersed rigid leaflet by the virtual element method
L. Beirão da Veiga, C. Canuto, R. H. Nochetto +1
We study, both theoretically and numerically, the equilibrium of a hinged rigid leaflet with an attached rotational spring, immersed in a stationary incompressible fluid within a r…
Local energy estimates for the fractional Laplacian
Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
The integral fractional Laplacian of order is a nonlocal operator. It is known that solutions to the Dirichlet problem involving such an operator exhibit an algebraic…
Quantitative Stability and Error Estimates for Optimal Transport Plans
Wenbo Li, Ricardo H. Nochetto
Optimal transport maps and plans between two absolutely continuous measures and can be approximated by solving semi-discrete or fully-discrete optimal transport problems. T…
Discontinuous Galerkin Approach to Large Bending Deformation of a Bilayer Plate with Isometry Constraint
Andrea Bonito, Ricardo H. Nochetto, Dimitris Ntogkas
We present a computational model of thin elastic bilayers that undergo large bending isometric deformations when actuated by non-mechanical stimuli. We propose a discontinuous Gale…