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[ 17 ]
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S. Caucao, G.N. Gatica, and L.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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[ 16 ]
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S. Caucao, G.N. Gatica, and L.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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[ 15 ]
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V. Anaya, R. Caraballo, S. Caucao, L.F. Gatica, R. Ruiz-Baier, and I. Yotov: A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations. Computer Methods in Applied Mechanics and Engineering, vol. 404, Art. Num. 115829, (2023).
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[ 14 ]
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P.E. Farrel, L.F. Gatica, B. Lamichhane, R. Oyarzúa, and R. Ruiz-Baier: Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity. Computer Methods in Applied Mechanics and Engineering, vol 374 (2021) 113584.
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[ 13 ]
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L.F. Gatica, R. Oyarzúa, and N. Sánchez: A priori and a posteriori error analysis of an augmented mixed-FEM for the Navier-Stokes-Brinkman problem. Computers and Mathematics with Applications, vol. 75, 7, pp. 2420-2444, (2018).
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[ 12 ]
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L.F. Gatica and F.A. Sequeira: A priori and a posteriori error analyses of an HDG method for the Brinkman problem. Computers and Mathematics with Applications, vol. 75, 4, pp. 1191-1212, (2018).
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[ 11 ]
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G.N. Gatica, L.F. Gatica, and F.A. Sequeira: A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity. Computers and Mathematics with Applications, vol. 71, 2, pp. 585-614, (2016).
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[ 10 ]
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G.N. Gatica, L.F. Gatica, and F.A. Sequeira: A RTk-Pk 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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[ 9 ]
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Z. Fu, L.F. Gatica, and F.-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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[ 8 ]
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G.N. Gatica, L.F. Gatica, and F.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, pp. 104-130, (2015).
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[ 7 ]
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L.F. Gatica, G.N. Gatica, and A. Márquez: 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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[ 6 ]
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L.F. Gatica, G.N. Gatica, and A. Márquez: 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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[ 5 ]
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G.N. Gatica, L.F. Gatica, and E.P. Stephan: A dual-mixed finite element method for nonlinear incompressible elasticity with mixed boundary conditions. Computer Methods in Applied Mechanics and Engineering, vol. 196, pp. 3348-3369, (2007).
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[ 4 ]
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L.F. Gatica and G.N. Gatica: On the a-priori and a-posteriori error analysis of a two-fold saddle point approach for nonlinear incompressible elasticity. International Journal for Numerical Methods in Engineering, vol. 68, (8), 861-892, (2006).
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[ 3 ]
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T.P. Barrios, G.N. Gatica, and L.F. Gatica: On the numerical analysis of a nonlinear elliptic problem via mixed-FEM and Lagrange multipliers. Applied Numerical Mathematics, vol. 48, 2, pp. 135-155, (2004).
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[ 2 ]
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L.F. Gatica, G.N. Gatica, and E.P. Stephan: A FEM-DtN formulation for a nonlinear exterior problem in incompressible elasticity. Mathematical Methods in Applied Sciences, vol. 26, 2, pp. 151-170, (2003).
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[ 1 ]
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L.F. Gatica: Sobre la ecuación de Liénard de grado 4. CUBO Revista de Matemática, vol. 12, pp. 39-50, (1997).
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