What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (45.71%)
- Finite element method (43.81%)
- Applied mathematics (21.90%)
What were the highlights of his more recent work (between 2016-2021)?
- Pure mathematics (19.05%)
- Finite element method (43.81%)
- Sobolev space (20.00%)
In recent papers he was focusing on the following fields of study:
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.
Between 2016 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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