What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Finite element method
- Algebra
Gabriel N. Gatica spends much of his time researching Mathematical analysis, Finite element method, Mixed finite element method, Galerkin method and Boundary value problem.
His work on Class as part of general Mathematical analysis study is frequently linked to Stability, A priori and a posteriori and Helmholtz free energy, therefore connecting diverse disciplines of science.
As a part of the same scientific study, Gabriel N. Gatica usually deals with the Finite element method, concentrating on Piecewise and frequently concerns with Piecewise linear function.
His Mixed finite element method study also includes
- Extended finite element method which intersects with area such as Boundary knot method and Smoothed finite element method,
- Mathematical optimization most often made with reference to Linear elasticity.
His Galerkin method research is multidisciplinary, incorporating perspectives in Approximations of π, Nonlinear operator equations, Saddle point, Fluid dynamics and Numerical analysis.
As part of the same scientific family, Gabriel N. Gatica usually focuses on Boundary value problem, concentrating on Elliptic curve and intersecting with Nonlinear functional analysis, Laplace operator and Numerical integration.
His most cited work include:
- A Simple Introduction to the Mixed Finite Element Method (92 citations)
- A conforming mixed finite-element method for the coupling of fluid flow with porous media flow (91 citations)
- On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in R2 (69 citations)
What are the main themes of his work throughout his whole career to date?
Gabriel N. Gatica mainly investigates Mathematical analysis, Finite element method, Mixed finite element method, Galerkin method and Applied mathematics.
His studies deal with areas such as Boundary element method and Discontinuous Galerkin method as well as Mathematical analysis.
Gabriel N. Gatica combines subjects such as Lagrange multiplier, Numerical analysis and Piecewise with his study of Finite element method.
Gabriel N. Gatica interconnects Dirichlet boundary condition, Boundary knot method, Linear elasticity, Cauchy stress tensor and Extended finite element method in the investigation of issues within Mixed finite element method.
His studies in Galerkin method integrate themes in fields like Rate of convergence, Weak formulation, Saddle point and Uniqueness.
His research in Applied mathematics intersects with topics in Fixed-point theorem, Mathematical optimization and Tensor.
He most often published in these fields:
- Mathematical analysis (68.62%)
- Finite element method (65.96%)
- Mixed finite element method (44.15%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (25.53%)
- Finite element method (65.96%)
- Mixed finite element method (44.15%)
In recent papers he was focusing on the following fields of study:
His primary areas of study are Applied mathematics, Finite element method, Mixed finite element method, Galerkin method and Mathematical analysis.
His Applied mathematics research is multidisciplinary, relying on both Fixed-point theorem, Numerical analysis, Lagrange multiplier and Piecewise.
Gabriel N. Gatica is interested in Linear elasticity, which is a branch of Finite element method.
Gabriel N. Gatica focuses mostly in the field of Mixed finite element method, narrowing it down to topics relating to Type and, in certain cases, Compressibility and Scalar.
His Galerkin method research includes themes of Sobolev space, Banach space and Tensor.
His N dimensional study in the realm of Mathematical analysis interacts with subjects such as Coupling.
Between 2017 and 2021, his most popular works were:
- A Mixed Virtual Element Method for Quasi-Newtonian Stokes Flows (24 citations)
- A mixed virtual element method for a nonlinear Brinkman model of porous media flow (19 citations)
- A mixed virtual element method for the Navier–Stokes equations (18 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Partial differential equation
Gabriel N. Gatica focuses on Applied mathematics, Finite element method, Mixed finite element method, Fixed-point theorem and Numerical analysis.
His Applied mathematics research focuses on Polynomial and how it connects with Projection, Subspace topology, Nonlinear functional analysis and Piecewise.
Gabriel N. Gatica works on Finite element method which deals in particular with Linear elasticity.
His Mixed finite element method study combines topics from a wide range of disciplines, such as N dimensional, Mathematical analysis and Lagrange multiplier.
His Fixed-point theorem research integrates issues from Galerkin method and Tensor.
His research in Galerkin method intersects with topics in Independent equation and Banach space.
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