Gabriel N. Gatica

4.9k total citations
212 papers, 3.8k citations indexed

About

Gabriel N. Gatica is a scholar working on Computational Mechanics, Mechanics of Materials and Computational Theory and Mathematics. According to data from OpenAlex, Gabriel N. Gatica has authored 212 papers receiving a total of 3.8k indexed citations (citations by other indexed papers that have themselves been cited), including 202 papers in Computational Mechanics, 145 papers in Mechanics of Materials and 91 papers in Computational Theory and Mathematics. Recurrent topics in Gabriel N. Gatica's work include Advanced Numerical Methods in Computational Mathematics (195 papers), Numerical methods in engineering (142 papers) and Advanced Mathematical Modeling in Engineering (85 papers). Gabriel N. Gatica is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (195 papers), Numerical methods in engineering (142 papers) and Advanced Mathematical Modeling in Engineering (85 papers). Gabriel N. Gatica collaborates with scholars based in Chile, Spain and Costa Rica. Gabriel N. Gatica's co-authors include Ricardo Oyarzúa, Salim Meddahi, Filánder A. Sequeira, George C. Hsiao, Ricardo Ruíz-Baier, Francisco‐Javier Sayas, Norbert Heuer, Ivo Babuška, Sergio Caucao and Antonio M. Márquez and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Mathematics of Computation.

In The Last Decade

Gabriel N. Gatica

198 papers receiving 3.5k citations

Peers

Gabriel N. Gatica

CTM

EEE

Shangyou Zhang United States

Eric T. Chung Hong Kong

Manil Suri United States

Xiu Ye United States

Juhani Pitkäranta Finland

Ronald H. W. Hoppe Germany

Arnold Reusken Germany

Faker Ben Belgacem France

Ivan Yotov United States

Kunibert G. Siebert Germany

Shangyou Zhang United States

Gabriel N. Gatica

3.1k ×0.9

1.7k ×0.8

1.4k ×1.0

CTM

932 ×1.1

EEE

161 ×0.5

Citations per year, relative to Gabriel N. Gatica Gabriel N. Gatica (= 1×) peers Shangyou Zhang

Countries citing papers authored by Gabriel N. Gatica

Since Specialization

Citations

This map shows the geographic impact of Gabriel N. Gatica's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gabriel N. Gatica with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gabriel N. Gatica more than expected).

Fields of papers citing papers by Gabriel N. Gatica

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gabriel N. Gatica. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gabriel N. Gatica. The network helps show where Gabriel N. Gatica may publish in the future.

Co-authorship network of co-authors of Gabriel N. Gatica

This figure shows the co-authorship network connecting the top 25 collaborators of Gabriel N. Gatica. A scholar is included among the top collaborators of Gabriel N. Gatica based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gabriel N. Gatica. Gabriel N. Gatica is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Caucao, Sergio, et al.. (2025). A posteriori error analysis of a mixed finite element method for the stationary convective Brinkman–Forchheimer problem. Applied Numerical Mathematics. 211. 158–178.

Caucao, Sergio, et al.. (2025). A posteriori error analysis of mixed finite element methods for a regularized μ ( I ) -rheology model of granular materials. Journal of Computational Physics. 542. 114378–114378.

Gatica, Gabriel N., et al.. (2024). A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations. Journal of Computational and Applied Mathematics. 447. 115885–115885. 2 indexed citations

Caucao, Sergio, et al.. (2024). Nonlinear twofold saddle point-based mixed finite element methods for a regularized μ(I)-rheology model of granular materials. Journal of Computational Physics. 520. 113462–113462. 2 indexed citations

Caucao, Sergio, et al.. (2024). A three-field mixed finite element method for the convective Brinkman–Forchheimer problem with varying porosity. Journal of Computational and Applied Mathematics. 451. 116090–116090. 1 indexed citations

Gatica, Gabriel N., et al.. (2023). New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems. Applied Numerical Mathematics. 193. 148–178. 1 indexed citations

Caucao, Sergio, et al.. (2023). A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem. CALCOLO. 60(4). 5 indexed citations

Caucao, Sergio, et al.. (2023). A posteriori error analysis of a Banach spaces-based fully mixed FEM for double-diffusive convection in a fluid-saturated porous medium. Computational Geosciences. 27(2). 289–316. 4 indexed citations

Caucao, Sergio, et al.. (2022). A Posteriori Error Analysis of a Mixed Finite Element Method for the Coupled Brinkman–Forchheimer and Double-Diffusion Equations. Journal of Scientific Computing. 93(2). 5 indexed citations

10.

Caucao, Sergio, et al.. (2021). Residual-baseda posteriorierror analysis for the coupling of the Navier–Stokes and Darcy–Forchheimer equations. ESAIM Mathematical Modelling and Numerical Analysis. 55(2). 659–687. 8 indexed citations

11.

Caucao, Sergio, et al.. (2021). A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman–Forchheimer and double-diffusion equations. ESAIM Mathematical Modelling and Numerical Analysis. 55(6). 2725–2758. 10 indexed citations

12.

Caucao, Sergio, et al.. (2020). A Banach spaces-based analysis of a new mixed-primal finite element method for a coupled flow-transport problem. Computer Methods in Applied Mechanics and Engineering. 371. 113285–113285. 16 indexed citations

13.

Caucao, Sergio, et al.. (2020). A Fully-Mixed Formulation for the Steady Double-Diffusive Convection System Based upon Brinkman–Forchheimer Equations. Journal of Scientific Computing. 85(2). 16 indexed citations

14.

Gatica, Gabriel N., et al.. (2018). A posteriori error analysis of an augmented fully-mixed formulation for the stationary Boussinesq model. Computers & Mathematics with Applications. 77(3). 693–714. 13 indexed citations

15.

Gatica, Gabriel N., et al.. (2016). A new mixed finite element analysis of the elastodynamic equations. Applied Mathematics Letters. 59. 48–55. 4 indexed citations

16.

Gatica, Gabriel N., et al.. (2015). ARTk−Pkapproximation for linear elasticity yielding a brokenH(div)convergent postprocessed stress. Applied Mathematics Letters. 49. 133–140. 6 indexed citations

17.

Gatica, Gabriel N.. (2007). An augmented mixed finite element method for linear elasticity with non-homogeneous Dirichlet conditions.. 26. 421–438. 22 indexed citations

18.

Gatica, Gabriel N., et al.. (2006). An augmented mixed finite element method with Lagrange multipliers: A priori and a posteriori error analyses. Journal of Computational and Applied Mathematics. 200(2). 653–676. 16 indexed citations

19.

Gatica, Gabriel N., et al.. (2001). A Domain Decomposition Method Based on BEM and FEM for Linear Exterior Boundary Value Problems. Journal of Mathematical Analysis and Applications. 262(1). 70–86. 2 indexed citations

20.

Gatica, Gabriel N., et al.. (1998). A domain decomposition method for linear exterior boundary value problems. Applied Mathematics Letters. 11(6). 1–9. 1 indexed citations

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