48 citations · 57 across the 22 of their papers we have counts for
5 papers · 1 filter
Two-scale methods for convex envelopes
Wenbo Li, Ricardo H. Nochetto
We develop two-scale methods for computing the convex envelope of a continuous function over a convex domain in any dimension.This hinges on a fully nonlinear obstacle formulation…
On the dynamics of ferrofluids: Global weak solutions to the Rosensweig system and rigorous convergence to equilibrium
Ricardo H. Nochetto, Konstantina Trivisa, Franziska Weber
This article establishes the global existence of weak solutions to a model proposed by Rosensweig (Rosensweig, Ferrohydrodynamics (1985)) for the dynamics of ferrofluids. The syste…
Convergent filtered scheme for the Monge-Ampère Equation
Ricardo H. Nochetto, Dimitrios Ntogkas
We propose an extension to our monotone and convergent method for the Monge-Ampère equation in dimension , that incorporates the idea of filtered schemes. The method combi…
Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian
Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado
We obtain regularity results in weighted Sobolev spaces for the solution of the obstacle problem for the integral fractional Laplacian. The weight is a power of the distance to the…
A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square
Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson +1
Both practice and analysis of adaptive -FEMs and -FEMs raise the question what increment in the current polynomial degree guarantees a -independent reduction of the G…