145 citations · 289 across the 31 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…
Numerical Simulations of Surface-Quasi Geostrophic Flows on Periodic Domains
Andrea Bonito, Murtazo Nazarov
We propose a novel algorithm for the approximation of surface-quasi geostrophic (SQG) flows modeled by a nonlinear partial differential equation coupling transport and fractional d…
Nonlinear Methods for Model Reduction
Andrea Bonito, Albert Cohen, Ronald DeVore +3
The usual approach to model reduction for parametric partial differential equations (PDEs) is to construct a linear space which approximates well the solution manifold $\math…
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…