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Gabriel N. Gatica

Gabriel N. Gatica

D-Index & Metrics

Mathematics

D-Index
38
Citations
5592
World Ranking
2366
National Ranking
4

Overview

Gabriel N. Gatica is affiliated with the University of Concepción in Chile and specializes in engineering, focusing primarily on computational mechanics, mechanics of materials, and computational theory and mathematics. Their research encompasses multiple subfields including electrical and electronic engineering as well as biomedical engineering.

The scientist's work addresses a range of advanced topics in computational mathematics and engineering. Key areas of study include:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Computational Fluid Dynamics and Aerodynamics
  • Electromagnetic Simulation and Numerical Methods
  • Granular flow and fluidized beds
  • Numerical methods in inverse problems

Gabriel N. Gatica has contributed to research published in several established journals. Frequent publication venues include:

  • Computers & Mathematics with Applications
  • CALCOLO
  • Journal of Scientific Computing
  • Journal of Computational and Applied Mathematics
  • ESAIM Mathematical Modelling and Numerical Analysis

Their recent papers showcase work on mixed finite element methods, Banach space analyses, and coupled problems in fluid dynamics and mathematical modeling. Notable papers are:

  • A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem, 2020, ESAIM Mathematical Modelling and Numerical Analysis
  • A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem, 2020, ESAIM Mathematical Modelling and Numerical Analysis
  • Banach spaces-based analysis of a fully-mixed finite element method for the steady-state model of fluidized beds, 2021, Computers & Mathematics with Applications
  • New mixed finite element methods for the coupled Stokes and Poisson-Nernst-Planck equations in Banach spaces, 2023, ESAIM. Mathematical modelling and numerical analysis
  • On the continuous and discrete well-posedness of perturbed saddle-point formulations in Banach spaces, 2022, Computers & Mathematics with Applications

Collaboration is a significant aspect of their research activity. Frequent coauthors include:

  • Sergio Caucao
  • Ricardo Ruiz-Baier
  • Cristian Inzunza
  • Ricardo Oyarzúa
  • Salim Meddahi

Best Publications

  • A Simple Introduction to the Mixed Finite Element Method

    Gabriel N. Gatica

  • A conforming mixed finite-element method for the coupling of fluid flow with porous media flow

    Gabriel N. Gatica;Salim Meddahi;Ricardo Oyarzúa

  • Analysis of a velocity–pressure–pseudostress formulation for the stationary Stokes equations ☆

    Gabriel N. Gatica;Antonio Márquez;Manuel A. Sánchez

  • Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem

    Gabriel N. Gatica;Ricardo Oyarzúa;Francisco-Javier Sayas

  • A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem

    Ivo Babuška;Gabriel N. Gatica

  • A mixed virtual element method for the pseudostress–velocity formulation of the Stokes problem

    Ernesto Cáceres;Gabriel N. Gatica

  • A Simple Introduction to the Mixed Finite Element Method: Theory and Applications

    Gabriel N Gatica

  • On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in R2

    Gabriel N. Gatica;George C. Hsiao

  • Boundary-field Equation Methods For a Class of Nonlinear Problems

    Gabriel N Gatica;G. C. Hsiao

  • On the numerical analysis of nonlinear twofold saddle point problems

    Gabriel N. Gatica;Norbert Heuer;Salim Meddahi

  • On the mixed finite element method with Lagrange multipliers

    Ivo M Babuska;Gabriel N. Gatica

  • Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations

    Gabriel N. Gatica

  • A residual-based a posteriori error estimator for a fully-mixed formulation of the Stokes–Darcy coupled problem

    Gabriel N. Gatica;Ricardo Oyarzúa;Francisco-Javier Sayas

  • An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems

    Rommel Bustinza;Gabriel N. Gatica;Bernardo Cockburn

  • A Local Discontinuous Galerkin Method for Nonlinear Diffusion Problems with Mixed Boundary Conditions

    Rommel Bustinza;Gabriel N. Gatica

  • A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity

    Tomás P. Barrios;Gabriel N. Gatica;María González;Norbert Heuer

  • Coupling of mixed finite elements and boundary elements for linear and nonlinear elliptic problems

    Gabriel N. Gatica;Wolfgang L. Wendland

  • Augmented Mixed Finite Element Methods for the Stationary Stokes Equations

    Leonardo E. Figueroa;Gabriel N. Gatica;Antonio Márquez

  • A mixed virtual element method for the Brinkman problem

    Ernesto Cáceres;Gabriel N. Gatica;Filánder A. Sequeira

  • A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part II: a posteriori error analysis

    Gabriel N. Gatica;Marı́a González;Salim Meddahi

  • A mixed virtual element method for the Navier–Stokes equations

    Gabriel N. Gatica;Mauricio Munar;Filánder A. Sequeira

  • An augmented mixed-primal finite element method for a coupled flow-transport problem

    Mario Alvarez;Mario Alvarez;Gabriel N. Gatica;Ricardo Ruiz–Baier

Frequent Co-Authors

Ernst P. Stephan
Ernst P. Stephan University of Hannover
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Ivo Babuška
Ivo Babuška The University of Texas at Austin
Bernardo Cockburn
Bernardo Cockburn University of Minnesota
Reinhold Schneider
Reinhold Schneider Technical University of Berlin
Raimund Bürger
Raimund Bürger University of Concepción
Helmut Harbrecht
Helmut Harbrecht University of Basel

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