18 citations · 27 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
Anisotropic mesh refinement in polyhedral domains: error estimates with data in L^2(Ω)
Thomas Apel, Ariel L. Lombardi, Max Winkler
The paper is concerned with the finite element solution of the Poisson equation with homogeneous Dirichlet boundary condition in a three-dimensional domain. Anisotropic, graded mes…
A Block Solver for the Exponentially Fitted IIPG-0 method
Blanca Ayuso de Dios, Ariel Lombardi, Paola Pietra +1
We consider an exponentially fitted discontinuous Galerkin method and propose a robust block solver for the resulting linear systems.
Interior penalty discontinuous Galerkin FEM for the -Laplacian
L. M. Del Pezzo, A. Lombardi, S. Martínez
In this paper we construct an "Interior Penalty" Discontinuous Galerkin method to approximate the minimizer of a variational problem related to the Laplacian. The function $…
Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra
G. Acosta, Th. Apel, R. G. Durán +1
We prove optimal order error estimates for the Raviart-Thomas interpolation of arbitrary order under the maximum angle condition for triangles and under two generalizations of this…