3 citations · 3 across the 4 of their papers we have counts for
13 papers · 1 filter
Error analysis for the approximation of a flow in deformable porous media with nonlinear strain-stress relation
Andrea Bonito, Vivette Girault, Diane Guignard
We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorpor…
Error Estimates For A Linear Folding Model
Sören Bartels, Andrea Bonito, Philipp Tscherner
An interior penalty discontinuous Galerkin method is devised to approximate minimizers of a linear folding model by discontinuous isoparametric finite element functions that accoun…
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…