3 citations · 3 across the 2 of their papers we have counts for
11 papers
Finite Element Approximation of Steady Flows of Colloidal Solutions
Andrea Bonito, Vivette Girault, Diane Guignard +2
We consider the mathematical analysis and numerical approximation of a system of nonlinear partial differential equations that arises in models that have relevance to steady isocho…
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…
DG Approach to Large Bending Plate Deformations with Isometry Constraint
Andrea Bonito, Ricardo H. Nochetto, Dimitrios Ntogkas
We propose a new discontinuous Galerkin (dG) method for a geometrically nonlinear Kirchhoff plate model for large isometric bending deformations. The minimization problem is noncon…