Allendes, Alejandro; Campaña, Gilberto; Otárola, Enrique Numerical discretization of a Darcy-Forchheimer problem coupled with a singular heat equation. (English) Zbl 07766063 SIAM J. Sci. Comput. 45, No. 5, A2755-A2780 (2023). MSC: 65-XX 35R06 65N12 65N15 65N50 76S05 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 45, No. 5, A2755--A2780 (2023; Zbl 07766063) Full Text: DOI arXiv
Allendes, Alejandro; Campaña, Gilberto; Otárola, Enrique; Salgado, Abner J. The linear elasticity system under singular forces. arXiv:2310.10866 Preprint, arXiv:2310.10866 [math.NA] (2023). MSC: 35R06 65N12 65N15 74S05 BibTeX Cite \textit{A. Allendes} et al., ``The linear elasticity system under singular forces'', Preprint, arXiv:2310.10866 [math.NA] (2023) Full Text: arXiv OA License
Allendes, Alejandro; Campaña, Gilberto; Otarola, Enrique Numerical discretizations of a convective Brinkman-Forchheimer model under singular forcing. arXiv:2305.04427 Preprint, arXiv:2305.04427 [math.NA] (2023). BibTeX Cite \textit{A. Allendes} et al., ``Numerical discretizations of a convective Brinkman-Forchheimer model under singular forcing'', Preprint, arXiv:2305.04427 [math.NA] (2023) Full Text: arXiv OA License
Allendes, Alejandro; Fuica, Francisco; Otárola, Enrique Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation. (English) Zbl 1491.35196 SIAM J. Control Optim. 60, No. 3, 1763-1790 (2022). MSC: 35J61 35R06 49J20 65N15 65N30 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Control Optim. 60, No. 3, 1763--1790 (2022; Zbl 1491.35196) Full Text: DOI arXiv
Allendes, A.; Campaña, G.; Fuica, F.; Otarola, E. Darcy’s problem coupled with the heat equation under singular forcing: analysis and discretization. arXiv:2208.12887 Preprint, arXiv:2208.12887 [math.NA] (2022). BibTeX Cite \textit{A. Allendes} et al., ``Darcy's problem coupled with the heat equation under singular forcing: analysis and discretization'', Preprint, arXiv:2208.12887 [math.NA] (2022) Full Text: arXiv OA License
Allendes, Alejandro; Fuica, Francisco; Otárola, Enrique; Quero, Daniel A posteriori error estimates for semilinear optimal control problems. (English) Zbl 1485.35200 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2293-2322 (2021). MSC: 35J61 49J20 49M25 65N15 65N30 PDFBibTeX XMLCite \textit{A. Allendes} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2293--2322 (2021; Zbl 1485.35200) Full Text: DOI arXiv
Allendes, Alejandro; Barrenechea, Gabriel R.; Novo, Julia A divergence-free stabilized finite element method for the evolutionary Navier-Stokes equations. (English) Zbl 1477.35115 SIAM J. Sci. Comput. 43, No. 6, A3809-A3836 (2021). MSC: 35Q30 76D05 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 43, No. 6, A3809--A3836 (2021; Zbl 1477.35115) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. The stationary Boussinesq problem under singular forcing. (English) Zbl 1473.35432 Math. Models Methods Appl. Sci. 31, No. 4, 789-827 (2021). MSC: 35Q35 35Q30 35R06 76Dxx 65N15 65N30 65N50 PDFBibTeX XMLCite \textit{A. Allendes} et al., Math. Models Methods Appl. Sci. 31, No. 4, 789--827 (2021; Zbl 1473.35432) Full Text: DOI arXiv
Allendes, Alejandro; Fuica, Francisco; Otarola, Enrique; Quero, Daniel A posteriori error estimates for a distributed optimal control problem of the stationary Navier-Stokes equations. (English) Zbl 1480.35319 SIAM J. Control Optim. 59, No. 4, 2898-2923 (2021). MSC: 35Q35 35Q30 49M05 49M41 65N15 65N30 65N50 76D05 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Control Optim. 59, No. 4, 2898--2923 (2021; Zbl 1480.35319) Full Text: DOI arXiv
Allendes, A.; Fuica, F.; Otárola, E. Adaptive finite element methods for sparse PDE-constrained optimization. (English) Zbl 1466.65175 IMA J. Numer. Anal. 40, No. 3, 2106-2142 (2020). MSC: 65N30 65N15 65N50 35J05 49M25 49M41 PDFBibTeX XMLCite \textit{A. Allendes} et al., IMA J. Numer. Anal. 40, No. 3, 2106--2142 (2020; Zbl 1466.65175) Full Text: DOI arXiv
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures. (English) Zbl 1448.35384 SIAM J. Sci. Comput. 42, No. 3, A1860-A1884 (2020). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 35Q30 35R06 76D05 65N15 65N30 65N50 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 42, No. 3, A1860--A1884 (2020; Zbl 1448.35384) Full Text: DOI arXiv
Allendes, Alejandro; Naranjo, César; Otárola, Enrique Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis. (English) Zbl 1442.76060 Comput. Methods Appl. Mech. Eng. 361, Article ID 112703, 25 p. (2020). MSC: 76M10 65N30 76D05 76R50 PDFBibTeX XMLCite \textit{A. Allendes} et al., Comput. Methods Appl. Mech. Eng. 361, Article ID 112703, 25 p. (2020; Zbl 1442.76060) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J. A posteriori error estimates for the Stokes problem with singular sources. (English) Zbl 1440.65171 Comput. Methods Appl. Mech. Eng. 345, 1007-1032 (2019). MSC: 65N30 35Q30 35Q35 35R06 65N15 65N50 76Dxx PDFBibTeX XMLCite \textit{A. Allendes} et al., Comput. Methods Appl. Mech. Eng. 345, 1007--1032 (2019; Zbl 1440.65171) Full Text: DOI arXiv
Allendes, Alejandro; Fuica, Francisco; Otárola, Enrique; Quero, Daniel An adaptive FEM for the pointwise tracking optimal control problem of the Stokes equations. (English) Zbl 1427.49023 SIAM J. Sci. Comput. 41, No. 5, A2967-A2998 (2019). MSC: 49K20 49M25 65K10 65N15 65N30 65N50 65Y20 49N10 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 41, No. 5, A2967--A2998 (2019; Zbl 1427.49023) Full Text: DOI arXiv
Allendes, Alejandro; Campaña, Gilberto; Hernández, Erwin Pointwise error estimates for a generalized Oseen problem and an application to an optimal control problem. (English) Zbl 1416.76090 Math. Methods Appl. Sci. 42, No. 10, 3549-3567 (2019). MSC: 76M10 76D07 65N30 PDFBibTeX XMLCite \textit{A. Allendes} et al., Math. Methods Appl. Sci. 42, No. 10, 3549--3567 (2019; Zbl 1416.76090) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard A posteriori error estimators for stabilized finite element approximations of an optimal control problem. (English) Zbl 1440.49035 Comput. Methods Appl. Mech. Eng. 340, 147-177 (2018). MSC: 49M25 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{A. Allendes} et al., Comput. Methods Appl. Mech. Eng. 340, 147--177 (2018; Zbl 1440.49035) Full Text: DOI arXiv
Allendes, Alejandro; Barrenechea, Gabriel R.; Naranjo, César A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem. (English) Zbl 1440.65170 Comput. Methods Appl. Mech. Eng. 340, 90-120 (2018). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{A. Allendes} et al., Comput. Methods Appl. Mech. Eng. 340, 90--120 (2018; Zbl 1440.65170) Full Text: DOI Link
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J. An a posteriori error analysis for an optimal control problem with point sources. (English) Zbl 1415.49002 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1617-1650 (2018). Reviewer: Andrzej Świerniak (Gliwice) MSC: 49J20 49N10 49M25 65N15 65N30 PDFBibTeX XMLCite \textit{A. Allendes} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1617--1650 (2018; Zbl 1415.49002) Full Text: DOI arXiv
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations. (English) Zbl 1395.49028 SIAM J. Sci. Comput. 40, No. 4, A2200-A2233 (2018). MSC: 49N10 49K20 49M25 65K10 65N15 65N30 65N50 65Y20 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 40, No. 4, A2200--A2233 (2018; Zbl 1395.49028) Full Text: DOI
Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation. (English) Zbl 1373.65065 SIAM J. Sci. Comput. 39, No. 5, A1903-A1927 (2017). MSC: 65M15 35K57 65M60 65M50 PDFBibTeX XMLCite \textit{A. Allendes} et al., SIAM J. Sci. Comput. 39, No. 5, A1903--A1927 (2017; Zbl 1373.65065) Full Text: DOI
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J. Adaptive finite element methods for an optimal control problem involving Dirac measures. (English) Zbl 1375.49049 Numer. Math. 137, No. 1, 159-197 (2017). MSC: 49N10 49J20 49M25 65K10 65N15 65N30 65N50 65Y20 PDFBibTeX XMLCite \textit{A. Allendes} et al., Numer. Math. 137, No. 1, 159--197 (2017; Zbl 1375.49049) Full Text: DOI arXiv
Allendes, Alejandro; Otarola, Enrique; Rankin, Richard A posteriori error estimation for finite element approximations of a PDE-constrained optimization problem in fluid dynamics. arXiv:1708.00590 Preprint, arXiv:1708.00590 [math.NA] (2017). BibTeX Cite \textit{A. Allendes} et al., ``A posteriori error estimation for finite element approximations of a PDE-constrained optimization problem in fluid dynamics'', Preprint, arXiv:1708.00590 [math.NA] (2017) Full Text: arXiv OA License
Allendes, Alejandro; Durán, Francisco; Rankin, Richard Error estimation for low-order adaptive finite element approximations for fluid flow problems. (English) Zbl 1433.76065 IMA J. Numer. Anal. 36, No. 4, 1715-1747 (2016). MSC: 76M10 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{A. Allendes} et al., IMA J. Numer. Anal. 36, No. 4, 1715--1747 (2016; Zbl 1433.76065) Full Text: DOI
Allendes, Alejandro; Hernández, Erwin; Otárola, Enrique A robust numerical method for a control problem involving singularly perturbed equations. (English) Zbl 1362.49018 Comput. Math. Appl. 72, No. 4, 974-991 (2016). MSC: 49M25 65N30 65N50 35K57 PDFBibTeX XMLCite \textit{A. Allendes} et al., Comput. Math. Appl. 72, No. 4, 974--991 (2016; Zbl 1362.49018) Full Text: DOI
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard Fully computable a posteriori error bounds for stabilised FEM approximations of convection-reaction-diffusion problems in three dimensions. (English) Zbl 1455.65207 Int. J. Numer. Methods Fluids 73, No. 9, 765-790 (2013). MSC: 65N30 65N15 76M10 PDFBibTeX XMLCite \textit{M. Ainsworth} et al., Int. J. Numer. Methods Fluids 73, No. 9, 765--790 (2013; Zbl 1455.65207) Full Text: DOI Link
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard On the adaptive selection of the parameter in stabilized finite element approximations. (English) Zbl 1276.65076 SIAM J. Numer. Anal. 51, No. 3, 1585-1609 (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N12 65N15 35Q30 76D07 76M10 PDFBibTeX XMLCite \textit{M. Ainsworth} et al., SIAM J. Numer. Anal. 51, No. 3, 1585--1609 (2013; Zbl 1276.65076) Full Text: DOI Link
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard Computable error bounds for nonconforming Fortin-Soulie finite element approximation of the Stokes problem. (English) Zbl 1333.76050 IMA J. Numer. Anal. 32, No. 2, 417-447 (2012). MSC: 76M10 76D07 65N30 65N15 PDFBibTeX XMLCite \textit{M. Ainsworth} et al., IMA J. Numer. Anal. 32, No. 2, 417--447 (2012; Zbl 1333.76050) Full Text: DOI
Allendes, Alejandro; Barrenechea, Gabriel R.; Hernández, Erwin; Valentin, Frédéric A two-level enriched finite element method for a mixed problem. (English) Zbl 1220.65162 Math. Comput. 80, No. 273, 11-41 (2011). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N30 65N12 76S05 76M10 35Q35 PDFBibTeX XMLCite \textit{A. Allendes} et al., Math. Comput. 80, No. 273, 11--41 (2011; Zbl 1220.65162) Full Text: DOI
Allendes, Alejandro; Quaas, Alexander Multiplicity results for extremal operators through bifurcation. (English) Zbl 1209.35038 Discrete Contin. Dyn. Syst. 29, No. 1, 51-65 (2011). MSC: 35J60 35B32 34B09 35R20 47N20 PDFBibTeX XMLCite \textit{A. Allendes} and \textit{A. Quaas}, Discrete Contin. Dyn. Syst. 29, No. 1, 51--65 (2011; Zbl 1209.35038) Full Text: DOI