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- Ricardo G. Durán

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
4,074
105
World Ranking
2430
National Ranking
4

- Mathematical analysis
- Geometry
- Algebra

His scientific interests lie mostly in Finite element method, Mathematical analysis, A priori and a posteriori, Applied mathematics and Numerical analysis. Ricardo G. Durán combines subjects such as Geometry and Eigenvalues and eigenvectors with his study of Finite element method. His work on Partial differential equation, Norm and Piecewise linear function as part of general Mathematical analysis study is frequently connected to Approximation error, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.

The Partial differential equation study combines topics in areas such as Space, Lagrange multiplier, Boundary value problem and Pure mathematics. His Numerical analysis research focuses on subjects like Elliptic curve, which are linked to Superconvergence and Order. His study explores the link between Finite element approximations and topics such as Extended finite element method that cross with problems in Sobolev space.

- Mixed finite elements for second order elliptic problems in three variables (286 citations)
- A posteriori error estimators for nonconforming finite element methods (109 citations)
- Mixed Finite Elements, Compatibility Conditions, and Applications (105 citations)

Ricardo G. Durán spends much of his time researching Mathematical analysis, Finite element method, Applied mathematics, Sobolev space and Pure mathematics. His study looks at the intersection of Mathematical analysis and topics like Mixed finite element method with Compressibility. His Finite element method study combines topics from a wide range of disciplines, such as Norm, Numerical analysis, Partial differential equation and Eigenvalues and eigenvectors.

His work carried out in the field of Applied mathematics brings together such families of science as Superconvergence, Polygon mesh, Mathematical optimization and Numerical approximation. His Sobolev space research incorporates themes from Discrete mathematics, Cusp, Type and Domain. He interconnects Space, Class, Bounded function and Inequality in the investigation of issues within Pure mathematics.

- Mathematical analysis (45.71%)
- Finite element method (43.81%)
- Applied mathematics (21.90%)

- Pure mathematics (19.05%)
- Finite element method (43.81%)
- Sobolev space (20.00%)

His primary scientific interests are in Pure mathematics, Finite element method, Sobolev space, Applied mathematics and Regular polygon. Ricardo G. Durán has researched Pure mathematics in several fields, including Class, Generalization, Bounded function and Inequality. His Finite element method research incorporates elements of Mathematical analysis, Dirichlet distribution and Boundary data.

The study incorporates disciplines such as Discrete mathematics, Regularization, Lagrange polynomial and Piecewise in addition to Sobolev space. His Applied mathematics research integrates issues from Commutative diagram, Laplace transform, Eigenvalues and eigenvectors and Laplace's equation. Ricardo G. Durán works mostly in the field of Regular polygon, limiting it down to topics relating to Domain and, in certain cases, Polygon mesh, Numerical approximation and Poisson problem, as a part of the same area of interest.

- Divergence Operator and Related Inequalities (12 citations)
- Improved Poincaré inequalities in fractional Sobolev spaces (11 citations)
- A Weighted Setting for the Numerical Approximation of the Poisson Problem with Singular Sources (6 citations)

- Mathematical analysis
- Geometry
- Algebra

His main research concerns Pure mathematics, Inequality, Poincaré conjecture, Regular polygon and Finite element method. In his papers, Ricardo G. Durán integrates diverse fields, such as Inequality and Inequalities in information theory. His Poincaré conjecture research is multidisciplinary, incorporating elements of Poincaré inequality, Sobolev inequality, Sobolev space and Divergence.

He has included themes like Class, Approximations of π, Polytope and Projection in his Regular polygon study. The various areas that Ricardo G. Durán examines in his Finite element method study include Singular measure, Type, Numerical approximation, Applied mathematics and Domain.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Mixed finite elements for second order elliptic problems in three variables

F. Brezzi;J. Douglas;R. Durán;M. Fortin.

Numerische Mathematik **(1987)**

520 Citations

Mixed Finite Elements, Compatibility Conditions, and Applications

Daniele Boffi;Franco Brezzi;Leszek F. Demkowicz;Ricardo G. Durán.

**(2008)**

207 Citations

An optimal Poincare inequality in L^1 for convex domains

Gabriel Acosta;Ricardo G. Duran.

Proceedings of the American Mathematical Society **(2003)**

168 Citations

A posteriori error estimators for nonconforming finite element methods

E. Dari;R. Duran;C. Padra;V. Vampa.

Mathematical Modelling and Numerical Analysis **(1996)**

166 Citations

On mixed finite element methods for the Reissner-Mindlin plate model

Ricardo Durán;Elsa Liberman.

Mathematics of Computation **(1992)**

151 Citations

Solutions of the divergence operator on John domains

Gabriel Acosta;Ricardo G. Durán;María Amelia Muschietti.

Advances in Mathematics **(2006)**

143 Citations

Error estimators for nonconforming finite element approximations of the Stokes problem

Enzo Dari;Ricardo Durán;Claudio Padra.

Mathematics of Computation **(1995)**

135 Citations

Finite element vibration analysis of fluid-solid systems without spurious modes

A. Bermúdez;R. Durán;M. A. Muschietti;R. Rodríguez.

SIAM Journal on Numerical Analysis **(1995)**

134 Citations

Analysis of the efficiency of an a posteriori error estimator for linear triangular finite elements

Ivo Babuška;Ricardo Durán;Rodolfo Rodríguez.

SIAM Journal on Numerical Analysis **(1992)**

133 Citations

A Posteriori Error Estimates for the Finite Element Approximation of Eigenvalue Problems

Ricardo G. Durán;Claudio Padra;Rodolfo Rodríguez.

Mathematical Models and Methods in Applied Sciences **(2003)**

129 Citations

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