BUSTINZA, ROMMEL; CICUTTIN, MATTEO; LOMBARDI, ARIEL L.

An a priori error analysis for a mixed Steklov eigenvalue problem using a Hybrid High-Order formulation

NUMERISCHE MATHEMATIK; Lugar: Berlin; Año: 2025

ARMENTANO, MARÍA GABRIELA; LOMBARDI, ARIEL L.; PENESSI, CECILIA

A Finite Element Analysis in Balanced Norms for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations

Computational Methods in Applied Mathematics; Año: 2024

ARMENTANO, MARÍA GABRIELA; LOMBARDI, ARIEL L.; PENESSI, CECILIA

Robust Estimates in Balanced Norms for Singularly Perturbed Reaction Diffusion Equations Using Graded Meshes

JOURNAL OF SCIENTIFIC COMPUTING; Año: 2023 vol. 96

DURÁN, RICARDO; GASTALDI, LUCIA; LOMBARDI, ARIEL

Analysis of Finite Element Approximations of Stokes Equations with NonSmooth Data

SIAM JOURNAL ON NUMERICAL ANALYSIS; Año: 2020 vol. 58 p. 3309 - 3331

ARMENTANO, MARÍA G.; LOMBARDI, ARIEL L.

The Steklov eigenvalue problem in a cuspidal domain

NUMERISCHE MATHEMATIK; Año: 2020 vol. 144 p. 237 - 270

BUSTINZA, ROMMEL; LOMBARDI, ARIEL L.; SOLANO, MANUEL

An anisotropic a priori error analysis for a convection-dominated diffusion problem using the HDG method

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING; Año: 2019 vol. 345 p. 382 - 401

JAWTUSCHENKO, ALEXIS B.; LOMBARDI, ARIEL L.

A mixed discretization of elliptic problems on polyhedra using anisotropic hybrid meshes

CALCOLO; Año: 2019 vol. 56

LOMBARDI, ARIEL L.; PIETRA, PAOLA; PRIETO, MARIANA I.

A posteriori error estimator for exponentially fitted Discontinuous Galerkin approximation of advection dominated problems

CALCOLO; Año: 2015 vol. 53 p. 83 - 103

APEL, THOMAS; LOMBARDI, ARIEL L.; WINKLER, MAX

Anisotropic mesh refinement in polyhedral domains: error estimates with data in L 2 ( Ω )

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEEMATIQUE ET ANALYSE NUMERIQUE; Lugar: Paris; Año: 2014 vol. 48 p. 1117 - 1145

DE DIOS, BLANCA AYUSO; LOMBARDI, ARIEL; PIETRA, PAOLA; ZIKATANOV, LUDMIL

A Block Solver for the Exponentially Fitted IIPG-0 Method

Lecture Notes in Computational Science and Engineering. Domain Decomposition; Lugar: Berlin; Año: 2013 vol. 91 p. 239 - 246

DURÁN, R.G.; LOMBARDI, A.L.; PRIETO, M.I.

Supercloseness on graded meshes for Q 1 finite element approximation of a reaction–diffusion equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS; Año: 2013 vol. 242 p. 232 - 247

RICARDO G. DURÁN; ARIEL L. LOMBARDI; MARIANA I. PRIETO

Superconvergence for finite element approximation of a convection-diffusion equation using graded meshes

IMA JOURNAL OF NUMERICAL ANALYSIS; Lugar: Oxford; Año: 2012 vol. 32 p. 511 - 533

DEL PEZZO, LEANDRO MARTÍN; LOMBARDI, ARIEL LUIS; MARTÍNEZ, SANDRA RITA

IP-DGFEM method for the p(x)-Laplacian

SIAM JOURNAL ON NUMERICAL ANALYSIS; Lugar: Philadelphia-USA; Año: 2012

ARIEL L. LOMBARDI; PAOLA PIETRA

Exponentially Fitted Discontinuous Galerkin Schemes for Singularly Perturbed Problems

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS; Lugar: New York; Año: 2012 vol. 28 p. 1747 - 1777

LOMBARDI, ARIEL LUIS

The discrete compactness property for anisotropic edge elements on polyhedral domains

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEEMATIQUE ET ANALYSE NUMERIQUE; Año: 2012 vol. 47 p. 169 - 181

ARIEL L. LOMBARDI

Interpolation Error estimates for edge elements on anisotropic meshes

IMA JOURNAL OF NUMERICAL ANALYSIS; Lugar: Oxford; Año: 2011 vol. 31 p. 1683 - 1712

GABRIEL ACOSTA; THOMAS APEL; RICARDO G. DUR¨¢N; ARIEL L. LOMBARDI

Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra

MATHEMATICS OF COMPUTATION; Lugar: Providence; Año: 2011 vol. 80 p. 141 - 163

GABRIEL ACOSTA; THOMAS APEL; RICARDO G. DURÁN; ARIEL L. LOMBARDI

Anisotropic error estimates for an interpolant defined via moments

COMPUTING; Lugar: Viena; Año: 2008 vol. 82 p. 1 - 9

RICARDO G. DURÁN; ARIEL L. LOMBARDI

Error estimates for the Raviart-Thomas interpolation under the maximum angle condition.

SIAM JOURNAL ON NUMERICAL ANALYSIS; Lugar: Philadelphia; Año: 2008 vol. 46 p. 1442 - 1453

GABRIEL ACOSTA; MARÍA G. ARMENTANO; RICARDO G. DURÁN; ARIEL L. LOMBARDI

Finite element approximations in a non Lipschitz domain

SIAM JOURNAL ON NUMERICAL ANALYSIS; Lugar: Philadelphia; Año: 2007 vol. 45 p. 277 - 295

RICARDO G. DURÁN; ARIEL L. LOMBARDI

Finite element approximation of convection diffusion problems using graded meshes

APPLIED NUMERICAL MATHEMATICS; Lugar: Amsterdam; Año: 2006 vol. 56 p. 1314 - 1325

GABRIEL ACOSTA; RICARDO G. DURÁN; ARIEL L. LOMBARDI

Weighted Poincaré and Korn inequalities for Hölder $\alpha$ domains

MATHEMATICAL METHODS IN THE APPLIED SCIENCES; Lugar: Chichester; Año: 2006 vol. 29 p. 387 - 400

RICARDO G. DURÁN; ARIEL L. LOMBARDI

Error Estimates on Anisotropic $Q_1$ Elements for Functions in Weighted Sobolev Spaces

MATHEMATICS OF COMPUTATION; Lugar: Providence; Año: 2005 vol. 74 p. 1679 - 1706

GABRIEL ACOSTA; MARÍA G. ARMENTANO; RICARDO G. DURÁN; ARIEL L. LOMBARDI

Nonhomogeneous Neumann problem for the Poisson Equation domains with an external cusp

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS; Lugar: Amsterdam; Año: 2005 vol. 310 p. 397 - 411

ARIEL L. LOMBARDI; DOMINGO A. TARZIA

Similarity solutions for thawing processes with a heat flux condition at the fixed boundary.

MECCANICA; Lugar: Dordrecht; Año: 2001 vol. 36 p. 251 - 264

LUCIO R. BERRONE; ARIEL L. LOMBARDI

A note on equivalence of means

PUBLICATIONES MATHEMATICAE-DEBRECEN; Lugar: Debrecen; Año: 2001 vol. 58 p. 49 - 56

MABEL M. TIDBALL; ARIEL L. LOMBARDI; ODILE POURTALLIER; EITAN ALTMAN

Continuity of optimal values and solutions for control of Markov chains with constraints

SIAM JOURNAL ON CONTROL AND OPTIMIZATION; Lugar: Philadelphia; Año: 2000 vol. 38 p. 1204 - 1222