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## Allendes, Alejandro

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 Author ID: allendes.alejandro Published as: Allendes, Alejandro; Allendes, A.
 Documents Indexed: 22 Publications since 2011
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#### Co-Authors

 0 single-authored 12 Otárola, Enrique 9 Rankin, Richard 7 Barrenechea, Gabriel R. 5 Salgado, Abner J. 3 Ainsworth, Mark 3 Fuica, Francisco 3 Hernández, Erwin 2 Naranjo, César 2 Quero, Daniel 1 Campaña, Gilberto 1 Durán, Francisco 1 Novo, Julia 1 Quaas, Alexander 1 Valentin, Frédéric
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#### Serials

 5 SIAM Journal on Scientific Computing 4 Computer Methods in Applied Mechanics and Engineering 3 IMA Journal of Numerical Analysis 1 Computers & Mathematics with Applications 1 International Journal for Numerical Methods in Fluids 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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#### Fields

 21 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX)

#### Citations contained in zbMATH Open

17 Publications have been cited 54 times in 44 Documents Cited by Year
Adaptive finite element methods for an optimal control problem involving Dirac measures. Zbl 1375.49049
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
2017
On the adaptive selection of the parameter in stabilized finite element approximations. Zbl 1276.65076
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
2013
A posteriori error estimates for the Stokes problem with singular sources. Zbl 1440.65171
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2019
A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem. Zbl 1440.65170
Allendes, Alejandro; Barrenechea, Gabriel R.; Naranjo, César
2018
Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation. Zbl 1373.65065
Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
2017
Multiplicity results for extremal operators through bifurcation. Zbl 1209.35038
Allendes, Alejandro; Quaas, Alexander
2011
An adaptive FEM for the pointwise tracking optimal control problem of the Stokes equations. Zbl 1427.49023
Allendes, Alejandro; Fuica, Francisco; Otárola, Enrique; Quero, Daniel
2019
An a posteriori error analysis for an optimal control problem with point sources. Zbl 1415.49002
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
2018
A robust numerical method for a control problem involving singularly perturbed equations. Zbl 1362.49018
Allendes, Alejandro; Hernández, Erwin; Otárola, Enrique
2016
Computable error bounds for nonconforming Fortin-Soulie finite element approximation of the Stokes problem. Zbl 1333.76050
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
2012
Fully computable a posteriori error bounds for stabilised FEM approximations of convection-reaction-diffusion problems in three dimensions. Zbl 1455.65207
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
2013
A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures. Zbl 1448.35384
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2020
A two-level enriched finite element method for a mixed problem. Zbl 1220.65162
Allendes, Alejandro; Barrenechea, Gabriel R.; Hernández, Erwin; Valentin, Frédéric
2011
A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations. Zbl 1395.49028
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard
2018
A posteriori error estimators for stabilized finite element approximations of an optimal control problem. Zbl 1440.49035
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard
2018
Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis. Zbl 1442.76060
Allendes, Alejandro; Naranjo, César; Otárola, Enrique
2020
Error estimation for low-order adaptive finite element approximations for fluid flow problems. Zbl 1433.76065
Allendes, Alejandro; Durán, Francisco; Rankin, Richard
2016
A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures. Zbl 1448.35384
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2020
Stabilized finite element approximations for a generalized Boussinesq problem: a posteriori error analysis. Zbl 1442.76060
Allendes, Alejandro; Naranjo, César; Otárola, Enrique
2020
A posteriori error estimates for the Stokes problem with singular sources. Zbl 1440.65171
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2019
An adaptive FEM for the pointwise tracking optimal control problem of the Stokes equations. Zbl 1427.49023
Allendes, Alejandro; Fuica, Francisco; Otárola, Enrique; Quero, Daniel
2019
A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem. Zbl 1440.65170
Allendes, Alejandro; Barrenechea, Gabriel R.; Naranjo, César
2018
An a posteriori error analysis for an optimal control problem with point sources. Zbl 1415.49002
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
2018
A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations. Zbl 1395.49028
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard
2018
A posteriori error estimators for stabilized finite element approximations of an optimal control problem. Zbl 1440.49035
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard
2018
Adaptive finite element methods for an optimal control problem involving Dirac measures. Zbl 1375.49049
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
2017
Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation. Zbl 1373.65065
Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
2017
A robust numerical method for a control problem involving singularly perturbed equations. Zbl 1362.49018
Allendes, Alejandro; Hernández, Erwin; Otárola, Enrique
2016
Error estimation for low-order adaptive finite element approximations for fluid flow problems. Zbl 1433.76065
Allendes, Alejandro; Durán, Francisco; Rankin, Richard
2016
On the adaptive selection of the parameter in stabilized finite element approximations. Zbl 1276.65076
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
2013
Fully computable a posteriori error bounds for stabilised FEM approximations of convection-reaction-diffusion problems in three dimensions. Zbl 1455.65207
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
2013
Computable error bounds for nonconforming Fortin-Soulie finite element approximation of the Stokes problem. Zbl 1333.76050
Ainsworth, Mark; Allendes, Alejandro; Barrenechea, Gabriel R.; Rankin, Richard
2012
Multiplicity results for extremal operators through bifurcation. Zbl 1209.35038
Allendes, Alejandro; Quaas, Alexander
2011
A two-level enriched finite element method for a mixed problem. Zbl 1220.65162
Allendes, Alejandro; Barrenechea, Gabriel R.; Hernández, Erwin; Valentin, Frédéric
2011
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#### Cited by 74 Authors

 12 Otárola, Enrique 9 Allendes, Alejandro 5 Quero, Daniel 5 Rankin, Richard 5 Salgado, Abner J. 4 Fuica, Francisco 3 Oyarzúa, Ricardo 2 Barrenechea, Gabriel R. 2 Caucao, Sergio 2 Dai, Guowei 2 Du, Shaohong 2 Gatica, Gabriel N. 2 Harder, Christopher 2 Kim, Kwang Yeon 2 Knobloch, Petr 2 Lepe, Felipe 2 Valentin, Frédéric 1 Alarcón, Salomón 1 Almeida, Regina C. 1 Almonacid, Javier A. 1 Baccouch, Mahboub 1 Bertrand, Fleurianne 1 Brenner, Susanne Cecelia 1 Cai, Zhiqiang 1 Caselli, Gabriele 1 Catabriga, Lucia 1 Čermák, Martin 1 Chen, Yanping 1 Corsi, Giovanna 1 Felmer, Patricio L. 1 Feng, Xinlong 1 Gu, Shanshan 1 Guan, Hongbo 1 Hecht, Frédéric 1 Iturriaga, Leonelo 1 Jha, Abhinav K. 1 John, Volker 1 Leng, Haitao 1 Li, Bowen 1 Lin, Runchang 1 Lin, Tao 1 Liu, Sijing 1 Lukáš, Petr 1 Malta, Sandra Mara Cardoso 1 Mao, Wenting 1 Maurini, Corrado 1 Moldenhauer, Marcel 1 Novo, Julia 1 Paredes, Diego 1 Pathan, Mahabub Basha 1 Quaas, Alexander 1 Ruiz-Baier, Ricardo 1 Sandoval, Felipe 1 Santos, Isaac P. 1 Shakya, Pratibha 1 Shang Hsu, Yang 1 Sinha, Rajen Kumar 1 Šolín, Pavel 1 Starke, Gerhard 1 Su, Haiyan 1 Tang, Zuqi 1 Valdebenito, Darío A. 1 Valli, Andrea M. P. 1 Vembu, Shanthi 1 Vidoli, Stefano 1 Villa-Fuentes, Segundo 1 Vohralík, Martin 1 Yang, Bianxia 1 Yang, Yong 1 Zhang, Tie 1 Zhang, Zhimin 1 Zhao, Jianping 1 Zhu, Huiqing 1 Zou, Jun
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#### Cited in 28 Serials

 4 Computers & Mathematics with Applications 4 Applied Numerical Mathematics 4 SIAM Journal on Scientific Computing 3 Journal of Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 Calcolo 1 Acta Mechanica 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Optimization 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 Numerical Methods for Partial Differential Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Optimization and Applications 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Networks and Heterogeneous Media 1 Advances in Applied Mathematics and Mechanics 1 S$$\vec{\text{e}}$$MA Journal 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 8 Fields

 37 Numerical analysis (65-XX) 21 Partial differential equations (35-XX) 16 Fluid mechanics (76-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)