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Enrique Otárola
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2020 – today
- 2024
- [j38]Alejandro Allendes, Gilberto Campaña
, Enrique Otárola:
Finite Element Discretizations of a Convective Brinkman-Forchheimer Model Under Singular Forcing. J. Sci. Comput. 99(2): 58 (2024) - [j37]Francisco Bersetche
, Francisco Fuica, Enrique Otárola
, Daniel Quero:
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization. SIAM J. Numer. Anal. 62(3): 1344-1371 (2024) - [i23]Gilberto Campaña
, Pablo Muñoz, Enrique Otárola:
Finite element approximation for a convective Brinkman-Forchheimer problem coupled with a heat equation. CoRR abs/2403.09872 (2024) - [i22]Alejandro Allendes, Gilberto Campaña
, Enrique Otárola:
Bilinear optimal control for the Stokes-Brinkman equations: a priori and a posteriori error analyses. CoRR abs/2404.18348 (2024) - [i21]Tadele Mengesha, Enrique Otárola, Abner J. Salgado:
Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes. CoRR abs/2406.10762 (2024) - 2023
- [j36]Francisco Fuica, Felipe Lepe, Enrique Otárola, Daniel Quero:
An Optimal Control Problem for the Navier-Stokes Equations with Point Sources. J. Optim. Theory Appl. 196(2): 590-616 (2023) - [j35]Alejandro Allendes, Gilberto Campaña
, Enrique Otárola:
Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation. SIAM J. Sci. Comput. 45(5): 2755- (2023) - [i20]Francisco Bersetche, Francisco Fuica, Enrique Otárola, Daniel Quero:
Bilinear optimal control for the fractional Laplacian: error estimates on Lipschitz domains. CoRR abs/2301.13058 (2023) - [i19]Alejandro Allendes, Gilberto Campaña
, Enrique Otárola:
Numerical discretization of a Brinkman-Darcy-Forchheimer model under singular forcing. CoRR abs/2305.04427 (2023) - [i18]Francisco Fuica, Enrique Otárola:
A pointwise tracking optimal control problem for the stationary Navier-Stokes equations. CoRR abs/2309.14511 (2023) - [i17]Alejandro Allendes, Gilberto Campaña
, Enrique Otárola, Abner J. Salgado:
The linear elasticity system under singular forces. CoRR abs/2310.10866 (2023) - [i16]Francisco Bersetche, Francisco Fuica, Enrique Otárola, Daniel Quero:
Fractional, semilinear, and sparse optimal control: a priori error bounds. CoRR abs/2312.08335 (2023) - 2022
- [j34]Francisco Fuica, Enrique Otárola:
A Posteriori Error Estimates for an Optimal Control Problem with a Bilinear State Equation. J. Optim. Theory Appl. 194(2): 543-569 (2022) - [j33]Enrique Otárola, Abner J. Salgado:
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra. Numerische Mathematik 151(1): 185-218 (2022) - [j32]Alejandro Allendes, Francisco Fuica, Enrique Otárola:
Error Estimates for a Pointwise Tracking Optimal Control Problem of a Semilinear Elliptic Equation. SIAM J. Control. Optim. 60(3): 1763-1790 (2022) - [j31]Enrique Otárola:
Fractional Semilinear Optimal Control: Optimality Conditions, Convergence, and Error Analysis. SIAM J. Numer. Anal. 60(1): 1-27 (2022) - [i15]Francisco Fuica, Enrique Otárola:
A posteriori error estimates for an optimal control problem with a bilinear state equation. CoRR abs/2203.16036 (2022) - [i14]Enrique Otárola:
Error estimates for fractional semilinear optimal control on Lipschitz polytopes. CoRR abs/2206.12023 (2022) - [i13]Alejandro Allendes, Gilberto Campaña
, Francisco Fuica, Enrique Otárola:
Darcy's problem coupled with the heat equation under singular forcing: analysis and discretization. CoRR abs/2208.12887 (2022) - [i12]Alejandro Allendes, Gilberto Campaña
, Enrique Otárola:
Numerical discretization of a Darcy-Forchheimer problem coupled with a singular heat equation. CoRR abs/2211.10325 (2022) - 2021
- [j30]Francisco Fuica, Felipe Lepe
, Enrique Otárola, Daniel Quero:
A posteriori error estimates in W1, p × Lp spaces for the Stokes system with Dirac measures. Comput. Math. Appl. 94: 47-59 (2021) - [j29]Felipe Lepe
, Enrique Otárola, Daniel Quero:
Error Estimates for FEM Discretizations of the Navier-Stokes Equations with Dirac Measures. J. Sci. Comput. 87(3): 97 (2021) - [j28]Alejandro Allendes, Francisco Fuica, Enrique Otárola, Daniel Quero:
A Posteriori Error Estimates for a Distributed Optimal Control Problem of the Stationary Navier-Stokes Equations. SIAM J. Control. Optim. 59(4): 2898-2923 (2021) - [j27]Christian Glusa
, Enrique Otárola:
Error Estimates for the Optimal Control of a Parabolic Fractional PDE. SIAM J. Numer. Anal. 59(2): 1140-1165 (2021) - [i11]Enrique Otárola:
Semilinear optimal control with Dirac measures. CoRR abs/2112.07114 (2021) - 2020
- [j26]Enrique Otárola
, Abner J. Salgado
:
A weighted setting for the stationary Navier Stokes equations under singular forcing. Appl. Math. Lett. 99 (2020) - [j25]Ricardo G. Durán, Enrique Otárola, Abner J. Salgado
:
Stability of the Stokes projection on weighted spaces and applications. Math. Comput. 89(324): 1581-1603 (2020) - [j24]Alejandro Allendes, Enrique Otárola, Abner J. Salgado
:
A Posteriori Error Estimates for the Stationary Navier-Stokes Equations with Dirac Measures. SIAM J. Sci. Comput. 42(3): A1860-A1884 (2020) - [i10]Alejandro Allendes, Francisco Fuica, Enrique Otárola, Daniel Quero:
A posteriori error estimates for a distributed optimal control problem of the stationary Navier-Stokes equations. CoRR abs/2004.03086 (2020) - [i9]Enrique Otárola, Abner J. Salgado:
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra. CoRR abs/2004.07966 (2020) - [i8]Alejandro Allendes, Enrique Otárola, Abner J. Salgado:
The stationary Boussinesq problem under singular forcing. CoRR abs/2005.07548 (2020) - [i7]Enrique Otárola:
Fractional semilinear optimal control: optimality conditions, convergence, and error analysis. CoRR abs/2007.13848 (2020) - [i6]Alejandro Allendes, Francisco Fuica, Enrique Otárola:
Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation. CoRR abs/2009.00736 (2020)
2010 – 2019
- 2019
- [j23]Francisco Fuica, Enrique Otárola
, Abner J. Salgado
:
An a posteriori error analysis of an elliptic optimal control problem in measure space. Comput. Math. Appl. 77(10): 2659-2675 (2019) - [j22]Enrique Otárola
, Richard Rankin, Abner J. Salgado
:
Maximum-norm a posteriori error estimates for an optimal control problem. Comput. Optim. Appl. 73(3): 997-1017 (2019) - [j21]Lehel Banjai, Jens Markus Melenk, Ricardo H. Nochetto, Enrique Otárola
, Abner J. Salgado
, Christoph Schwab:
Tensor FEM for Spectral Fractional Diffusion. Found. Comput. Math. 19(4): 901-962 (2019) - [j20]Lehel Banjai, Enrique Otárola
:
A PDE approach to fractional diffusion: a space-fractional wave equation. Numerische Mathematik 143(1): 177-222 (2019) - [j19]Marta D'Elia, Christian Glusa
, Enrique Otárola
:
A Priori Error Estimates for the Optimal Control of the Integral Fractional Laplacian. SIAM J. Control. Optim. 57(4): 2775-2798 (2019) - [j18]Alejandro Allendes, Francisco Fuica, Enrique Otárola, Daniel Quero:
An Adaptive FEM for the Pointwise Tracking Optimal Control Problem of the Stokes Equations. SIAM J. Sci. Comput. 41(5): A2967-A2998 (2019) - [i5]Enrique Otárola:
An adaptive finite element method for the sparse optimal control of fractional diffusion. CoRR abs/1906.00540 (2019) - [i4]Francisco Fuica, Enrique Otárola, Daniel Quero:
Error estimates for optimal control problems of the Stokes system with Dirac measures. CoRR abs/1907.11096 (2019) - [i3]Alejandro Allendes, Enrique Otárola, Abner J. Salgado:
A posteriori error estimates for the stationary Navier Stokes equations with Dirac measures. CoRR abs/1910.05122 (2019) - [i2]Alejandro Allendes, Francisco Fuica, Enrique Otárola, Daniel Quero:
A posteriori error estimates for semilinear optimal control problems. CoRR abs/1911.09628 (2019) - [i1]Francisco Fuica, Felipe Lepe, Enrique Otárola, Daniel Quero:
A posteriori error estimates in W1, p × Lp spaces for the Stokes system with Dirac measures. CoRR abs/1912.08325 (2019) - 2018
- [j17]Enrique Otárola
, Abner J. Salgado
:
Sparse Optimal Control for Fractional Diffusion. Comput. Methods Appl. Math. 18(1): 95-110 (2018) - [j16]Andrea Bonito, Juan Pablo Borthagaray
, Ricardo H. Nochetto, Enrique Otárola
, Abner J. Salgado
:
Numerical methods for fractional diffusion. Comput. Vis. Sci. 19(5-6): 19-46 (2018) - [j15]Harbir Antil
, Enrique Otárola
, Abner J. Salgado
:
Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects. J. Sci. Comput. 77(1): 204-224 (2018) - [j14]Alejandro Allendes, Enrique Otárola
, Richard Rankin:
A Posteriori Error Estimation for a PDE-Constrained Optimization Problem Involving the Generalized Oseen Equations. SIAM J. Sci. Comput. 40(4): A2200-A2233 (2018) - 2017
- [j13]Alejandro Allendes, Enrique Otárola
, Richard Rankin, Abner J. Salgado
:
Adaptive finite element methods for an optimal control problem involving Dirac measures. Numerische Mathematik 137(1): 159-197 (2017) - 2016
- [j12]Alejandro Allendes, Erwin Hernández, Enrique Otárola
:
A robust numerical method for a control problem involving singularly perturbed equations. Comput. Math. Appl. 72(4): 974-991 (2016) - [j11]Long Chen, Ricardo H. Nochetto, Enrique Otárola
, Abner J. Salgado
:
Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Math. Comput. 85(302): 2583-2607 (2016) - [j10]Ricardo H. Nochetto, Enrique Otárola
, Abner J. Salgado
:
Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. Numerische Mathematik 132(1): 85-130 (2016) - [j9]Harbir Antil
, Enrique Otárola
, Abner J. Salgado
:
A Space-Time Fractional Optimal Control Problem: Analysis and Discretization. SIAM J. Control. Optim. 54(3): 1295-1328 (2016) - [j8]Ricardo H. Nochetto, Enrique Otárola
, Abner J. Salgado
:
A PDE Approach to Space-Time Fractional Parabolic Problems. SIAM J. Numer. Anal. 54(2): 848-873 (2016) - [j7]Enrique Otárola
, Abner J. Salgado
:
Finite Element Approximation of the Parabolic Fractional Obstacle Problem. SIAM J. Numer. Anal. 54(4): 2619-2639 (2016) - 2015
- [j6]Ricardo H. Nochetto, Enrique Otárola
, Abner J. Salgado
:
A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis. Found. Comput. Math. 15(3): 733-791 (2015) - [j5]Long Chen, Ricardo H. Nochetto, Enrique Otárola
, Abner J. Salgado
:
A PDE approach to fractional diffusion: A posteriori error analysis. J. Comput. Phys. 293: 339-358 (2015) - [j4]Harbir Antil
, Enrique Otárola
:
A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators. SIAM J. Control. Optim. 53(6): 3432-3456 (2015) - 2011
- [j3]Erwin Hernández, Dante Kalise
, Enrique Otárola
:
A locking-free scheme for the LQR control of a Timoshenko beam. J. Comput. Appl. Math. 235(5): 1383-1393 (2011) - 2010
- [j2]Erwin Hernández, Dante Kalise
, Enrique Otárola
:
Numerical approximation of the LQR problem in a strongly damped wave equation. Comput. Optim. Appl. 47(1): 161-178 (2010)
2000 – 2009
- 2009
- [j1]Erwin Hernández, Enrique Otárola
:
A Locking-Free FEM in Active Vibration Control of a Timoshenko Beam. SIAM J. Numer. Anal. 47(4): 2432-2454 (2009)
Coauthor Index
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