Papers in Scientific Journals
The following is the list of publications in scientific journals of the Center for Research in Mathematical Engineering, ordered by year of occurrence, since 2009, date of creation of this center. When you click on the name of a certain author, all their publications available in this database are displayed together with a link to their list of publications in the AMS MathScinet database.
Publications of Luis F. GATICA |
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| Number | Authors, Title and Details | DOI Link |
|---|---|---|
| 2025-08 | Sergio CAUCAO, Gabriel N. GATICA, Luis F. GATICA: A posteriori error analysis of a mixed finite element method for the stationary convective Brinkman--Forchheimer problem. Applied Numerical Mathematics, vol. 211, pp. 158-178, (2025). |
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| 2023-39 | Sergio CAUCAO, Gabriel N. GATICA, Luis F. GATICA: A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem. Calcolo, vol. 60, 4, article: 51, (2023). |
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| 2023-06 | Veronica ANAYA, Ruben CARABALLO, Sergio CAUCAO, Luis F. GATICA, Ricardo RUIZ-BAIER, Ivan YOTOV: A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations. Computer Methods in Applied Mechanics and Engineering, vol. 404, 115829, (2023). |
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| 2021-02 | Patrick E. FARRELL, Luis F. GATICA, Bishnu LAMICHHANE, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: Mixed Kirchhoff stress - displacement - pressure formulations for incompressible hyperelasticity. Computer Methods in Applied Mechanics and Engineering, vol. 374, Art. Num. 113562, (2021). |
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| 2018-13 | Luis F. GATICA, Ricardo OYARZÚA, Nestor SÁNCHEZ: A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem. Computers & Mathematics with Applications, vol. 75, 7, pp. 2420-2444, (2018). |
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| 2018-11 | Luis F. GATICA, Filander A. SEQUEIRA: A priori and a posteriori error analyses of an HDG method for the Brinkman problem. Computers & Mathematics with Applications, vol. 75, 4, pp. 1191-1212, (2018). |
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| 2016-11 | Gabriel N. GATICA, Luis F. GATICA, Filander A. SEQUEIRA: A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity. Computers & Mathematics with Applications, vol. 71, 2, pp. 585-614, (2016). |
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| 2015-16 | Gabriel N. GATICA, Luis F. GATICA, Filander A. SEQUEIRA: A RT_k - P_k approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress. Applied Mathematics Letters, vol. 49, pp. 133-140, (2015). |
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| 2015-15 | Zhixing FU, Luis F. GATICA, Francisco J. SAYAS: Algorithm 949: Matlab tools for HDG in three dimensions. ACM Transactions on Mathematical Software, vol 41, 3, Article 20, (2015). |
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| 2015-04 | Gabriel N. GATICA, Luis F. GATICA, Filander A. SEQUEIRA: Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow. Computer Methods in Applied Mechanics and Engineering, vol. 289, 1, pp. 104-130, (2015). |
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| 2014-07 | Gabriel N. GATICA, Luis F. GATICA, Antonio MARQUEZ: Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow. Numerische Mathematik, vol. 126, 4, pp. 635-677, (2014). |
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| 2011-22 | Gabriel N. GATICA, Luis F. GATICA, Antonio MARQUEZ: Augmented mixed finite element methods for a vorticity-based velocity-pressure-stress formulation of the Stokes problem in 2D. International Journal for Numerical Methods in Fluids, vol. 67, 4, pp. 450-477, (2011). |
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