Papers :

• Analysis of finite element approximations of the Stokes equations with non-smooth data.
  R. G. Durán, L. Gastaldi, A. L. Lombardi.
  [ download pdf file ]
• Stability of the Stokes projection on weighted spaces and applications.
  R. G. Durán, E. Otárola, A. J. Salgado.
  To appear in Math. Comp..
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• Mixed methods for degenerate elliptic problems and application to fractional Laplacian.
  M. E. Cejas, R. G. Durán, M. I. Prieto.
  [ download pdf file ]
• A weighted setting for the numerical approximation of the Poisson problem with singular sources.
  I. Drelichman, R. G. Durán, I. Ojea.
  To appear in SIAM J. Numer. Anal..
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• On the interpolation space $(L^p(\Omega), W^{1,p}(\Omega))_{s,p}$ in non-smooth domains.
  I. Drelichman, R. G. Durán
  J. Math.Anal.Appl. 470(1), 91-101, 2019.
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• Improved Poincaré inequalities in fractional Sobolev spaces.
  I. Drelichman, R. G. Durán
  Ann. Acad. Sci. Fenn. Math. 43, 885-903, 2018.
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• Weighted a priori estimates for elliptic equations.
  M. E. Cejas, R. G. Durán
  Studia Math. 243(1), 13-24, 2018.
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• Improved Poincaré inequalities and solutions of the divergence in weighted norms.
  G. Acosta, M. E. Cejas, R. G. Durán
  Ann. Acad. Sci. Fenn. Math. 42(1), 211–226, 2017.
  [ download pdf file ]
• A posteriori error analysis for nonconforming approximation of multiple eigenvalues.
  D. Boffi, R. G. Durán, F. Gardini and L. Gastaldi
  Math. Methods Appl. Sci. 40(2), 350–369, 2017.
  [ download pdf file ]
• An elementary proof of the continuity from $L_0^2(\Omega)$ to $H^1_0(\Omega)^n$ of Bogovskii's right inverse of the divergence.
  R. G. Durán
  Revista de la Unión Matemática Argentina 53(2), 59-78, 2012.
  [ download pdf file ]
• Powers of distances to lower dimensional sets as Muckenhoupt weights.
  H. Aimar, M. Carena, R. G. Durán and M. Toschi
  Acta Mathematica Hungarica 143(1), 119–137, 2014.
  [ download pdf file ]
• Korn inequality and divergence operator: counterexamples and optimality of weighted estimates.
  G. Acosta, R. G. Durán and F. López García
  Proc. AMS. 141, 217-232, 2013.
  [ download pdf file ]
• Supercloseness on graded meshes for $\mathcal{Q}_1$ finite element approximation of a reaction-diffusion equation.
  R. G. Durán, A. L. Lombardi and M. I. Prieto
  Journal of Computational and Applied Mathematics 242, 232-247, 2013.
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• A posteriori error estimates for non conforming approximation of eigenvalue problems.
  E. Dari, R. G. Durán and C. Padra
  Applied Numerical Mathematics 62, 580-591, 2012.
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• A finite element method for stiffened plates.
  R. G. Durán, R. Rodríguez and F. Sanhueza
  ESAIM: Math. Model. and Numer. Anal. 46, 291-315, 2012.
  [ download pdf file ]
• Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions.
  Pablo L. De Nápoli, Irene Drelichman, and R. G. Durán
  Commun. on Pure Appl. Anal. 11, 1629-1642, 2012.
  [ download pdf file ]
• Superconvergence for finite element approximation of a convection-diffusion equation using graded meshes.
  R. G. Durán, A. L. Lombardi and M. I. Prieto
  IMA J. Numer. Anal.32, 511-533, 2012.
  [ download pdf file ]
• On the existence of bounded solutions for a nonlinear elliptic system.
  R. G. Durán, M. Sanmartino and M. Toschi
  Annali di Matematica Pura ed Applicata 191, 771-782, 2012.
  [ download pdf file ]
• Multipliers of Laplace Transform Type for Laguerre and Hermite Expansions.
  Pablo L. De Nápoli, Irene Drelichman, and R. G. Durán
  Studia Math. 203, 265-290, 2011.
  [ download pdf file ]
• Weighted a priori estimates for the solution of the homogeneous Dirichlet problem for powers of the Laplacian Operator.
  R. G. Durán, M. Sanmartino and M. Toschi
  Analysis in Theory and Applications, 26(4), 339-349, 2010.
  [ download pdf file ]
• On weighted inequalities for fractional integrals of radial functions.
  P. L. De Nápoli, I. Drelichman and R. G. Durán
  Illinois J. Math., 55(2), 575-587, 2012.
  [ download pdf file ]
• Numerical analysis of a finite element method to compute the vibration modes of a Reissner-Mindlin laminated plate.
  R. G. Durán, R. Rodríguez and F. Sanhueza
  Math. Comp. 80, 1239-1264, 2011.
  [ download pdf file ]
• Divergence operator and Poincaré inequalities on arbitrary bounded domains.
  R. G. Durán, M. A. Muschietti, E. Russ and P. Tchamitchian
  Complex Variables and Elliptic Equations: An International Journal 55(8), 795-816, 2010.
  [ download pdf file ]
• Solutions of the divergence and Korn inequalities on domains with an external cusp.
  R. G. Durán and F. López García
  Ann. Acad. Sci. Fenn. Math. 35, 421-438, 2010.
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• Radial solutions for Hamiltonian Elliptic Systems with weights.
  P. L. De Nápoli, I. Drelichman and R. G. Durán
  Advanced Nonlinear Studies 9, 579-593, 2009.
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• Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra.
  G. Acosta, Th. Apel, R. G. Durán and A. L. Lombardi
  Math. Comp. 80(273), 141–163, 2011.
  [ download pdf file ]
• Solutions of the divergence and analysis of the Stokes equations in planar H\"older-$\alpha$ domains
  R. G. Durán and F. López García
  Math. Mod. Meth. Appl. Sci. 20, 95-120, 2010.
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• Anisotropic error estimates for an interpolant defined via moments.
  G. Acosta, Th. Apel, R. G. Durán and A. L. Lombardi
  Computing 82, 1-9, 2008.
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• Weighted a priori estimates for Poisson equation.
  R. G. Durán, M. Sanmartino and M. Toschi
  Indiana University Math. Journal. 57, 3463-3478, 2008.
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• Improved Poincaré inequalities with weights.
  I. Drelichman and R. G. Durán
  Journal of Mathematical Analysis and Applications 347, 286-293, 2008.
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• Error estimates for anisotropic finite elements and applications.
  R. G. Durán
  Proceedings of the International Congress of Mathematicians, Madrid 2006, Volume III, 1181-1200.
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• Error estimates for the Raviart-Thomas interpolation under the maximum angle condition.
  R. G. Durán and A. Lombardi
  SIAM J. Numer. Anal.  46,  1442-1453,  2008.
  [ download pdf file ]
• Finite element approximations in a non-Lipschitz domain.
  G. Acosta, M. G. Armentano, R. G. Durán and A. Lombardi
  SIAM J. Numer. Anal.  45,  277-295,  2007.
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• Finite element approximation of convection-diffusion problems using graded meshes.
  R. G. Durán and A. Lombardi
  Applied Numerical Mathematics 56, 1314-1325, 2006.
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• Nonhomogeneous Neumann problem for the Poisson equation in domains with an external cusp.
  G. Acosta, M. G. Armentano, R. G. Durán and A. Lombardi
  Journal of Mathematical Analysis and Applications 310(2), 397-411, 2005.
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• Solutions of the divergence operator on John domains.
  G. Acosta, R. G. Durán and M. A. Muschietti
  Advances in Mathematics 206(2), 373-401, 2006.
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• Weighted Poincaré and Korn inequalities for Hölder α domains.
  G. Acosta, R. G. Durán and A. L. Lombardi
  Math. Meth. Appl. Sci. (MMAS) 29 (4), 387-400, 2006.
  [ download pdf file ]
• Error estimates on anisotropic Q1 elements for functions in weighted Sobolev spaces.
  R. G. Durán and A. L. Lombardi
  Math. Comp. 74, 1679-1706, 2005.
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• The Korn inequality for Jones domains.
  R. G. Durán and M. A. Muschietti
  Electron. J. Diff. Eqns. 2004(127), 1-10, 2004.
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• Asymptotic lower bounds for eigenvalues by nonconforming finite element methods.
  M. G. Armentano and R. G. Durán
  Electronic Trans. Numer. Anal. 17, 93-101, 2004.
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• A posteriori error estimates for the finite element approximation of eigenvalue problems.
  R. G. Durán, C. Padra and R. Rodríguez
  Math. Mod. Meth. Appl. Sci. 13(8), 1219-1229, 2003.
  [ download postcript file ]
• Error estimates for low-order isoparametric quadrilateral finite elements for plates.
  R. G. Durán, E. Hernández,  L. Hervella Nieto, E. Liberman and R. Rodríguez
  SIAM J. Numer. Anal. 41(5), 1751-1772, 2003.
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• An optimal Poincaré inequality in L¹ for convex domains.
  G. Acosta and R. G. Durán
  Proc. AMS 132(1), 195-202, 2003.
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• Mass lumping or not mass lumping for eigenvalue problems
  M. G. Armentano and R. G. Durán
  Numer. Meth. PDE's 19(5), 653-664, 2003. 
  [ download postcript file ]
• An adaptive time step procedure for a parabolic problem with blow up
  G. Acosta,  R. G. Durán and J. D. Rossi
  Computing 68(4), 343-373, 2002. 
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• An explicit right inverse of the divergence operator which is continuous in weighted norms
  R. G. Durán and M. A. Muschietti
  Studia Mathematica  148(3), 207-219, 2001. 
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• On the traces of W^2,p for a Lipschitz domain
  R. G. Durán and M. A. Muschietti
  Revista Matemática Complutense XIV(2), 371-377, 2001. 
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• Error estimates for moving least square approximations
  M. G. Armentano and R. G. Durán
  Applied  Numerical  Mathematics, 37, 397-416,  2001.
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• An adaptive finite element approach for frictionless contact problems
  G. C. Buscaglia, R. G. Durán, E. A. Fancello, R. A. Feijóo and C. Padra
  Int. J. Numer. Meth. Engng.  50, 395-418, 2001. 
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• Error estimates for $Q_1$ isoparametric elements satisfying a weak angle condition
  G. Acosta and R. G. Durán
  SIAM J. Numer. Anal. 38, 1073-1088,  2000. 
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• Finite element analysis of a quadratic eigenvalue problem arising in dissipative acoustics
  A. Bermúdez, R. G. Durán, R. Rodríguez and J. Solomín
  SIAM J. Numer. Anal.  38,  267-291,  2000.
  [ download postcript file ]
• Finite element analysis of the vibration problem of a plate coupled with a fluid
  R. G. Durán, L. Hervella Nieto, E. Liberman, R. Rodríguez and J. Solomin
  Numer. Math.  86, 591-616, 2000. 
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• Maximum norm error estimators for three dimensional elliptic problems
  E. Dari , R. G. Durán and C. Padra
  SIAM J. Numer. Anal. 37(2), 683-700,  2000. 
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• The maximum angle condition for mixed and non conforming elements: Application to the Stokes equations
  G. Acosta  and R. G. Durán
  SIAM J. Numer. Anal.  37, 18-36, 1999.
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• A posteriori error estimators for mixed approximations of eigenvalue problems
  R. G. Durán , L. Gastaldi and C. Padra
  Math. Mod. Meth. Appl. Sci.  9, 1165-1178, 1999.
  [ download postcript file ]
• Approximation of the vibration modes of a plate by Reissner-Mindlin equations
  R.G. Durán , L. Hervella Nieto, E. Liberman, R. Rodríguez and J. Solomin
  Math. Comp.  68, 1447-1463, 1999. 
  [ download postcript file ]
• A remark on spurious eigenvalues in a square
  D. Boffi, R. G. Durán and L. Gastaldi
  Applied Mathematics Letters  12, 107-114, 1999. 
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• Error estimates for narrow 3-d finite elements
  R. G. Durán
  Math. Comp. 68, 187-199, 1999. 
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• Finite element analysis of compressible and incompressible fluid-solid systems
  A. Bermúdez,  R. G. Durán  and R. Rodríguez
  Math. Comp.  67, 111-136,  1998.
  [ download pdf file ]
• Numerical approximation of a parabolic problem with a nonlinear boundary condition
  R. G. Durán, J. Etcheverry  and J. D. Rossi
  Discrete and Continuous Dynamical Systems 4(3), 497-506, 1998. 
  [ download postcript file ]
• Finite element solution of incompressible fluid-structure vibration problems
  A. Bermúdez, R. G. Durán and R. Rodríguez
  Int. J. Numer. Meth. Engng. 40(8), 1435-1448, 1997.
• On the convergence of a triangular mixed finite element method for Reissner-Mindlin plates
  R. G. Durán and E. Liberman
  Math. Mod. Meth. Appl. Sci.  6(3), 339-352, 1996.
• A posteriori error estimators for nonconforming finite element methods
  E. Dari, R. G. Durán, C. Padra and V. Vampa
  Math. Model. Numer. Anal. (RAIRO) 30(4), 385-400, 1996.
• Finite element vibration analysis of fluid-solid systems without spurious modes
  A. Bermúdez, R. G. Durán, M.A. Muschietti, R. Rodríguez and J. Solomin
  SIAM J. Numer. Anal. 32(4),1280-1295, 1995.
  [ available from Jstor ]
• Error estimators for nonconforming finite element approximations of the Stokes problem
  E. Dari, R. G. Durán and C. Padra
  Math. Comp. 64(211), 1017-1033, 1995.
  [ available from Jstor ]
• Analysis of the efficiency of an a-posteriori error estimator for linear triangular finite elements
  I. Babuska, R. G. Durán and R. Rodríguez
  SIAM J. Numer. Anal. 29, 947-964, 1992.
  [ available from Jstor ]
• On the asymptotic exactness of Bank-Weiser's estimator
  R. G. Durán and R. Rodríguez
  Numer. Math.  62, 297-303, 1992.
• On Mixed Finite Element Methods for the Reissner Mindlin Plate Model
  R. G. Durán and E. Liberman
  Math. Comp. 58(198), 561-573, 1992.
  [ available from Jstor ]
• Asymptotically Exact Error Estimators for Rectangular Finite Elements
  R. G. Durán, M. A. Muschietti and R. Rodríguez
  SIAM J. Numer. Anal. 29(1), 78-88, 1992.
  [ available from Jstor ]
• Asymptotically Exact Error Estimators for Rectangular Finite Elements
  R. G. Durán, M. A. Muschietti and R. Rodríguez
  SIAM J. Numer. Anal. 29(1), 78-88, 1992.
  [ available from Jstor ]
• The Inf-Sup Condition an Error Estimates for the Arnold-Falk Plate Bending Element
  R. G. Durán
  Numer. Math. 58(8), 769-778, 1991.
• A Finite Element Method for the Mindlin-Reissner Plate Model
  R. G. Durán, A. Ghioldi and N. Wolanski
  SIAM J. Numer. Anal. 28(4),1004-1014, 1991.
  [ available from Jstor ]
• On the Asymptotic Exactness of a Posteriori Error Estimators for Linear Triangular Finite Elements
  R. G. Durán, M. A. Muschietti and R. Rodríguez
  Numer. Math. 59, 107-127, 1991.
• Superconvergence for Rectangular Mixed Finite Elements
  R. G. Durán
  Numer.Math. 58, 287-298, 1990.
• Finite Elements in H (curl) with Applications to Elasticity
  R. G. Durán
  Numer. Meth. PDE's 6(2), 167-175, 1990.
• Weighted Inf-Sup Condition and Pointwise Error Estimates for the Stokes Problem
  R. G. Durán and R. H. Nochetto
  Math. Comp. 54(189), 63-79, 1990.
  [ available from Jstor ]
• Pointwise Accuracy of a Stable Petrov-Galerkin Method for the Stokes Problem
  R. G. Durán and R. H. Nochetto
  SIAM J. Numer. Anal. 26(6), 1395-1406, 1989.
  [ available from Jstor ]
• On the L^p Boundedness of Pseudodifferential Operators with Discontinuous Symbols
  J. Alvárez and R. G. Durán
  Proc. AMS 104(1), 165-168, 1988.
  [ available from Jstor ]
• Error Analysis in L^p for Mixed Finite Element Methods for Linear and Quasilinear Elliptic Problems
  R. G. Durán
  RAIRO, Model. Math. Numer. Anal. 22(3), 371-387, 1988.
• Sharp Maximum Norm Error Estimates for Finite Element Approximations of the Stokes Problem in 2-D
  R. G. Durán, R. Nochetto and J. Wang
  Math. Comp. 51(184), 491-506, 1988.
  [ available from Jstor ]
• A Note on the Convergence of Linear Finite Elements
  R. G. Durán
  SIAM J. Numer. Anal. 25(5), 1032-1036, 1988.
  [ available from Jstor ]
• On the Approximation of Miscible Displacement in Porous Media by the Method of Characteristics Combined with a Mixed Method
  R. G. Durán
  SIAM J. Numer. Anal. 25(5), 989-1001, 1988
  [ available from Jstor ]
• Mixed Finite Elements for Second Order Elliptic Problems in Three Variables
  F. Brezzi,  J. Douglas, R. G. Durán and M. Fortin
  Numer. Math. 51, 137-150, 1987.
• Quasi-optimal Estimates for Finite Element Approximations Using Orlicz Norms
  R. G. Durán
  Math. Comp. 49 (179), 17-23, 1987.
  [ available from Jstor ]
• Parabolic Maximal Functions and Potentials of Distributions in H^p
  R. G. Durán
  J. Math. Anal. Appl. 100(1), 130-154, 1984.
• On Polynomial Approximation in Sobolev Spaces
  R. G. Durán
  SIAM J. Numer.Anal. 20(5), 98-988, 1983
  [ available from Jstor ]