15 citations · 18 across the 10 of their papers we have counts for
13 papers
Stability of the Ritz projection in weighted
Irene Drelichman, Ricardo G. Duran
We prove the stability in weighted spaces for standard finite element approximations of the Poisson equation in convex polygonal or polyhedral domains, when the weight be…
Analysis of finite element approximations of Stokes equations with non-smooth data
Ricardo G. Durán, Lucia Gastaldi, Ariel L. Lombardi
In this paper we analyze the finite element approximation of the Stokes equations with non-smooth Dirichlet boundary data. To define the discrete solution, we first approximate the…
Stability of the Stokes projection on weighted spaces and applications
Ricardo G. Duran, Enrique Otarola, Abner J. Salgado
We show that, on convex polytopes and two or three dimensions, the finite element Stokes projection is stable on weighted spaces , where th…
Mixed methods for degenerate elliptic problems and application to fractional laplacian
Maria E. Cejas, Ricardo G. Duran, Maria I. Prieto
We analyze the approximation by mixed finite element methods of solutions of equations of the form $-\mbox{div\,} (a\nabla u) = g$, where the coefficient can degenerate go…
Weighted a priori estimates for elliptic equations
Maria Eugenia Cejas, Ricardo Duran
We give a simpler proof of the a priori estimates obtained in the paper by Duran, Sanmartino and Toschi for solutions of elliptic problems in weighted Sobolev norms when the weight…
An elementary proof of the continuity from to of Bogovskii's right inverse of the divergence
Ricardo G. Duran
The existence of right inverses of the divergence as an operator form to is a problem that has been widely studied because of its importance in the analysis…