Álvarez, Mario; Colmenares, Eligio; Sequeira, Filánder A. Analysis of a semi-augmented mixed finite element method for double-diffusive natural convection in porous media. (English) Zbl 1524.65505 Comput. Math. Appl. 114, 112-131 (2022). MSC: 65M60 65N30 76M10 65N15 65N12 76S05 76R10 35A01 35A02 35B65 80A19 47H10 65M06 35Q35 PDFBibTeX XMLCite \textit{M. Álvarez} et al., Comput. Math. Appl. 114, 112--131 (2022; Zbl 1524.65505) Full Text: DOI arXiv
Sequeira, Filánder A.; Guillén-Oviedo, Helen Some aspects on the computational implementation of diverse terms arising in mixed virtual element formulations. (English) Zbl 1480.65004 Numer. Algorithms 89, No. 2, 487-528 (2022). MSC: 65-04 65N30 PDFBibTeX XMLCite \textit{F. A. Sequeira} and \textit{H. Guillén-Oviedo}, Numer. Algorithms 89, No. 2, 487--528 (2022; Zbl 1480.65004) Full Text: DOI arXiv
Gatica, Gabriel N.; Sequeira, Filánder A. An \(L^p\) spaces-based mixed virtual element method for the two-dimensional Navier-Stokes equations. (English) Zbl 1478.65125 Math. Models Methods Appl. Sci. 31, No. 14, 2937-2977 (2021). MSC: 65N30 65N12 65N15 65N99 76M10 76S05 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{F. A. Sequeira}, Math. Models Methods Appl. Sci. 31, No. 14, 2937--2977 (2021; Zbl 1478.65125) Full Text: DOI
Gatica, Gabriel N.; Munar, Mauricio; Sequeira, Filander A. A mixed virtual element method for the Boussinesq problem on polygonal meshes. (English) Zbl 1488.65613 J. Comput. Math. 39, No. 3, 392-427 (2021). MSC: 65N30 65N12 65N15 76D07 76M20 35Q35 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., J. Comput. Math. 39, No. 3, 392--427 (2021; Zbl 1488.65613) Full Text: DOI
Munar, Mauricio; Sequeira, Filánder A. A posteriori error analysis of a mixed virtual element method for a nonlinear Brinkman model of porous media flow. (English) Zbl 1447.65157 Comput. Math. Appl. 80, No. 5, 1240-1259 (2020). MSC: 65N30 65N15 76S05 76M10 35Q35 PDFBibTeX XMLCite \textit{M. Munar} and \textit{F. A. Sequeira}, Comput. Math. Appl. 80, No. 5, 1240--1259 (2020; Zbl 1447.65157) Full Text: DOI
Guillén-Oviedo, Helen; Sequeira, Filánder A. A computational implementation of the mixed-VEM method for the Brinkman problem in 2D. (Spanish. English summary) Zbl 1451.65190 Rev. Mat. Teor. Apl. 26, No. 2, 215-251 (2019). MSC: 65N30 76S05 76M10 PDFBibTeX XMLCite \textit{H. Guillén-Oviedo} and \textit{F. A. Sequeira}, Rev. Mat. Teor. Apl. 26, No. 2, 215--251 (2019; Zbl 1451.65190) Full Text: DOI
Cáceres, Ernesto; Gatica, Gabriel N.; Sequeira, Filánder A. A mixed virtual element method for a pseudostress-based formulation of linear elasticity. (English) Zbl 1507.65234 Appl. Numer. Math. 135, 423-442 (2019). MSC: 65N30 65N15 74B05 PDFBibTeX XMLCite \textit{E. Cáceres} et al., Appl. Numer. Math. 135, 423--442 (2019; Zbl 1507.65234) Full Text: DOI
Gatica, Gabriel N.; Munar, Mauricio; Sequeira, Filánder A. A mixed virtual element method for the Navier-Stokes equations. (English) Zbl 1411.76062 Math. Models Methods Appl. Sci. 28, No. 14, 2719-2762 (2018). MSC: 76M10 65N30 35Q30 65N12 65N15 76D05 76M25 76S05 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Math. Models Methods Appl. Sci. 28, No. 14, 2719--2762 (2018; Zbl 1411.76062) Full Text: DOI
Gatica, Gabriel N.; Sequeira, Filánder A. Analysis of the HDG method for the Stokes-Darcy coupling. (English) Zbl 1397.76068 Numer. Methods Partial Differ. Equations 33, No. 3, 885-917 (2017). MSC: 76M10 65N30 76D07 76S05 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{F. A. Sequeira}, Numer. Methods Partial Differ. Equations 33, No. 3, 885--917 (2017; Zbl 1397.76068) Full Text: DOI Link
Cáceres, Ernesto; Gatica, Gabriel N.; Sequeira, Filánder A. A mixed virtual element method for the Brinkman problem. (English) Zbl 1432.65167 Math. Models Methods Appl. Sci. 27, No. 4, 707-743 (2017). MSC: 65N30 65N12 65N15 76M10 76S05 PDFBibTeX XMLCite \textit{E. Cáceres} et al., Math. Models Methods Appl. Sci. 27, No. 4, 707--743 (2017; Zbl 1432.65167) Full Text: DOI
Gatica, Gabriel N.; Gatica, Luis F.; Sequeira, Filánder A. A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity. (English) Zbl 1443.65330 Comput. Math. Appl. 71, No. 2, 585-614 (2016). MSC: 65N30 65N15 74B05 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Comput. Math. Appl. 71, No. 2, 585--614 (2016; Zbl 1443.65330) Full Text: DOI
Guillén-Oviedo, Helen; Sequeira, Filánder A. Analysis of the local discontinuous Galerkin method for the Fokker-Planck equation. (Spanish. English summary) Zbl 1352.65344 Rev. Mat. Teor. Apl. 23, No. 2, 361-387 (2016). MSC: 65M60 65M15 35Q84 PDFBibTeX XMLCite \textit{H. Guillén-Oviedo} and \textit{F. A. Sequeira}, Rev. Mat. Teor. Apl. 23, No. 2, 361--387 (2016; Zbl 1352.65344) Full Text: DOI
Gatica, Gabriel N.; Gatica, Luis F.; Sequeira, Filánder A. Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow. (English) Zbl 1423.76425 Comput. Methods Appl. Mech. Eng. 289, 104-130 (2015). MSC: 76S05 76M10 65N30 74F10 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Comput. Methods Appl. Mech. Eng. 289, 104--130 (2015; Zbl 1423.76425) Full Text: DOI Link
Gatica, Gabriel N.; Gatica, Luis F.; Sequeira, Filánder A. A \(\mathbb {RT}_k-\mathbf P_k\) approximation for linear elasticity yielding a broken \(H(\mathrm{div})\) convergent postprocessed stress. (English) Zbl 1381.74018 Appl. Math. Lett. 49, 133-140 (2015). MSC: 74B05 74S05 65N12 65N30 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Appl. Math. Lett. 49, 133--140 (2015; Zbl 1381.74018) Full Text: DOI
Gatica, Gabriel N.; Sequeira, Filánder A. Analysis of an augmented HDG method for a class of quasi-Newtonian Stokes flows. (English) Zbl 1330.76067 J. Sci. Comput. 65, No. 3, 1270-1308 (2015). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{F. A. Sequeira}, J. Sci. Comput. 65, No. 3, 1270--1308 (2015; Zbl 1330.76067) Full Text: DOI Link