Search Results - "Ariel L. Lombardi"

Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra by ACOSTA, GABRIEL, APEL, THOMAS, DURÀN, RICARDO G., LOMBARDI, ARIEL L.

“…Our techniques are different from those used in previous papers on the subject, and the results obtained are more general in several aspects. First,…”
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An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method by Bustinza, Rommel, Lombardi, Ariel L., Solano, Manuel

“…This paper deals with the a priori error analysis for a convection-dominated diffusion 2D problem, when applying the HDG method on a family of anisotropic…”
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Robust Estimates in Balanced Norms for Singularly Perturbed Reaction Diffusion Equations Using Graded Meshes by Armentano, María Gabriela, Lombardi, Ariel L., Penessi, Cecilia

“…The goal of this paper is to provide almost robust approximations of singularly perturbed reaction-diffusion equations in two dimensions by using finite…”
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The Steklov eigenvalue problem in a cuspidal domain by Armentano, María G., Lombardi, Ariel L.

“…In this paper we analyze the approximation, by piecewise linear finite elements, of a Steklov eigenvalue problem in a plane domain with an external cusp. This…”
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A mixed discretization of elliptic problems on polyhedra using anisotropic hybrid meshes by Jawtuschenko, Alexis B., Lombardi, Ariel L.

“…A virtual element method is introduced for the mixed approximation of a simple model problem for the Laplace operator on a polyhedron. The method is fully…”
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INTERIOR PENALTY DISCONTINUOUS GALERKIN FEM FOR THE p(x)-LAPLACIAN by DEL PEZZO, LEANDRO M., LOMBARDI, ARIEL L., MARTÍNEZ, SANDRA

“…In this paper we construct an "interior penalty" discontinuous Galerkin method to approximate the minimizer of a variational problem related to the…”
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A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems by Lombardi, Ariel L., Pietra, Paola, Prieto, Mariana I.

“…The paper deals with the weakly penalized exponentially fitted incomplete interior penalty (EF-IIPG0) scheme for advection-diffusion problems. In the first…”
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Interpolation error estimates for edge elements on anisotropic meshes by Lombardi, Ariel L.

“…The classical error analysis for Nédélec edge interpolation requires the so-called regularity assumption on the elements. However, in Nicaise (2001, SIAM J…”
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Finite element approximation of convection diffusion problems using graded meshes by Durán, Ricardo G., Lombardi, Ariel L.

“…We consider the numerical approximation of a model convection–diffusion equation by standard bilinear finite elements. Using appropriately graded meshes we…”
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Error estimates on anisotropic Q1 elements for functions in weighted sobolev spaces by DURAN, Ricardo G, LOMBARDI, Ariel L

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Error Estimates for the Raviart-Thomas Interpolation under the Maximum Angle Condition by Durán, Ricardo G., Lombardi, Ariel L.

“…The classical error analysis for the Raviart-Thomas interpolation on triangular elements requires the so-called regularity of the elements, or equivalently,…”
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Weighted Poincaré and Korn inequalities for Hölder α domains by Acosta, Gabriel, Durán, Ricardo G., Lombardi, Ariel L.

“…It is known that the classic Korn inequality is not valid for Hölder α domains. In this paper, we prove a family of weaker inequalities for this kind of…”
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Finite Element Approximations in a Nonlipschitz Domain by Acosta, Gabriel, Armentano, María G., Durán, Ricardo G., Lombardi, Ariel L.

“…In this paper we analyze the approximation by standard piecewise linear finite elements of a nonhomogeneous Neumann problem in a cuspidal domain. Since the…”
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Nonhomogeneous Neumann problem for the Poisson equation in domains with an external cusp by Acosta, Gabriel, Armentano, María G., Durán, Ricardo G., Lombardi, Ariel L.

“…In this work we analyze the existence and regularity of the solution of a nonhomogeneous Neumann problem for the Poisson equation in a plane domain Ω with an…”
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Error estimates on anisotropic {\mathcal Q}_1 elements for functions in weighted Sobolev spaces by Ricardo G. Durán, Ariel L. Lombardi

“…In this paper we prove error estimates for a piecewise \mathcal{Q}_1 average interpolation on anisotropic rectangular elements, i.e., rectangles with sides of…”
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Similarity solutions for thawing processes with a heat flux condition at the fixed boundary by Lombardi, Ariel L, Tarzia, Domingo A

“…Similarity solutions for a mathematical model for thawing in a saturated semi-infinite porous medium is considered when change of phase induces a density jump…”
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Exponentially fitted discontinuous Galerkin schemes for singularly perturbed problems by Lombardi, Ariel L., Pietra, Paola

“…New discontinuous Galerkin schemes in mixed form are introduced for symmetric elliptic problems of second order. They exhibit reduced connectivity with respect…”
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ERROR ESTIMATES FOR THE RAVIART-THOMAS INTERPOLATION UNDER THE MAXIMUM ANGLE CONDITION by DURAN, Ricardo G, LOMBARDI, Ariel L

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Error Estimates on Anisotropic$\mathcal{Q}_1$Elements for Functions in Weighted Sobolev Spaces by Durán, Ricardo G., Ariel L. Lombardi

“…In this paper we prove error estimates for a piecewise$\mathcal{Q}_1$average interpolation on anisotropic rectangular elements, i.e., rectangles with sides of…”
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Analysis of finite element approximations of Stokes equations with non-smooth data by Durán, Ricardo G, Gastaldi, Lucia, Lombardi, Ariel L

“…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…”
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