Dassi, Franco; Mora, David; Reales, Carlos; Velásquez, Iván Mixed variational formulations of virtual elements for the polyharmonic operator \((-\Delta)^n\). (English) Zbl 07813460 Comput. Math. Appl. 158, 150-166 (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{F. Dassi} et al., Comput. Math. Appl. 158, 150--166 (2024; Zbl 07813460) Full Text: DOI
Causil, José; Reales, Carlos; Velásquez, Iván A \(C^1\)-\(C^0\) virtual element discretization for a sixth-order elliptic equation. (English) Zbl 1505.35131 Calcolo 59, No. 4, Paper No. 39, 27 p. (2022). MSC: 35J40 31A30 65N15 65N30 PDFBibTeX XMLCite \textit{J. Causil} et al., Calcolo 59, No. 4, Paper No. 39, 27 p. (2022; Zbl 1505.35131) Full Text: DOI
Mora, David; Reales, Carlos; Silgado, Alberth A \(C^1\)-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery. (English) Zbl 1500.65097 IMA J. Numer. Anal. 42, No. 4, 3632-3674 (2022). MSC: 65N30 76S05 76M10 35Q35 PDFBibTeX XMLCite \textit{D. Mora} et al., IMA J. Numer. Anal. 42, No. 4, 3632--3674 (2022; Zbl 1500.65097) Full Text: DOI
Dassi, Franco; Mora, David; Reales, Carlos; Velàsquez, Ivàn A virtual element method on polyhedral meshes for the sixth-order elliptic problem. arXiv:2211.07953 Preprint, arXiv:2211.07953 [math.NA] (2022). MSC: 65M99 BibTeX Cite \textit{F. Dassi} et al., ``A virtual element method on polyhedral meshes for the sixth-order elliptic problem'', Preprint, arXiv:2211.07953 [math.NA] (2022) Full Text: arXiv OA License
Anaya, V.; Bouharguane, A.; Mora, D.; Reales, C.; Ruiz-Baier, R.; Seloula, N.; Torres, H. Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations. (English) Zbl 1428.65075 J. Sci. Comput. 80, No. 3, 1577-1606 (2019). MSC: 65N30 65N12 76D07 65N15 76M10 PDFBibTeX XMLCite \textit{V. Anaya} et al., J. Sci. Comput. 80, No. 3, 1577--1606 (2019; Zbl 1428.65075) Full Text: DOI arXiv
Anaya, Verónica; Mora, David; Reales, Carlos; Ruiz-Baier, Ricardo Vorticity-Pressure formulations for the Brinkman-Darcy coupled problem. (English) Zbl 1416.76092 Numer. Methods Partial Differ. Equations 35, No. 2, 528-544 (2019). MSC: 76M10 65N30 65N15 76S05 35Q35 PDFBibTeX XMLCite \textit{V. Anaya} et al., Numer. Methods Partial Differ. Equations 35, No. 2, 528--544 (2019; Zbl 1416.76092) Full Text: DOI Link
Anaya, Verónica; Mora, David; Reales, Carlos; Ruiz-Baier, Ricardo Mixed methods for a stream-function – vorticity formulation of the axisymmetric Brinkman equations. (English) Zbl 1456.65152 J. Sci. Comput. 71, No. 1, 348-364 (2017). MSC: 65N30 65N12 65N15 76S05 PDFBibTeX XMLCite \textit{V. Anaya} et al., J. Sci. Comput. 71, No. 1, 348--364 (2017; Zbl 1456.65152) Full Text: DOI Link
Bermúdez, A.; Muñoz-Sola, R.; Reales, C.; Rodríguez, R.; Salgado, P. A transient eddy current problem on a moving domain. Numerical analysis. (English) Zbl 1351.78034 Adv. Comput. Math. 42, No. 4, 757-789 (2016). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 65N30 78M20 65N06 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., Adv. Comput. Math. 42, No. 4, 757--789 (2016; Zbl 1351.78034) Full Text: DOI
Anaya, Verónica; Mora, David; Reales, Carlos; Ruiz-Baier, Ricardo Stabilized mixed approximation of axisymmetric Brinkman flows. (English) Zbl 1329.76158 ESAIM, Math. Model. Numer. Anal. 49, No. 3, 855-874 (2015). MSC: 76M10 65N30 76S05 65N12 76D07 65N15 65J20 PDFBibTeX XMLCite \textit{V. Anaya} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 3, 855--874 (2015; Zbl 1329.76158) Full Text: DOI
Bermúdez, Alfredo; Muñoz-Sola, Rafael; Reales, Carlos; Rodríguez, Rodolfo; Salgado, Pilar A transient eddy current problem on a moving domain. mathematical analysis. (English) Zbl 1292.35343 SIAM J. Math. Anal. 45, No. 6, 3629-3650 (2013). MSC: 35R37 35K65 35K20 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., SIAM J. Math. Anal. 45, No. 6, 3629--3650 (2013; Zbl 1292.35343) Full Text: DOI Link
Bermúdez, Alfredo; Reales, Carlos; Rodríguez, Rodolfo; Salgado, Pilar Numerical analysis of a finite-element method for the axisymmetric eddy current model of an induction furnace. (English) Zbl 1196.78023 IMA J. Numer. Anal. 30, No. 3, 654-676 (2010). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 78A25 78A97 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., IMA J. Numer. Anal. 30, No. 3, 654--676 (2010; Zbl 1196.78023) Full Text: DOI