Enrique Otárola

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 56

Top Topics

Error Estimates

Navier Stokes Equations

Finite Element Method

Optimal Control

Top Venues

SIAM J. Numer. Anal.

SIAM J. Control. Optim.

Numerische Mathematik

Publications

Alejandro Allendes, Gilberto Campaña, Enrique Otárola, Abner J. Salgado
The linear elasticity system under singular forces. Appl. Math. Lett. 158 (2024)
Francisco Bersetche, Francisco Fuica, Enrique Otárola, Daniel Quero
Bilinear Optimal Control for the Fractional Laplacian: Analysis and Discretization. SIAM J. Numer. Anal. 62 (3) (2024)
Alejandro Allendes, Gilberto Campaña, Enrique Otárola
Finite Element Discretizations of a Convective Brinkman-Forchheimer Model Under Singular Forcing. J. Sci. Comput. 99 (2) (2024)
Tadele Mengesha, Enrique Otárola, Abner J. Salgado
Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes. CoRR (2024)
Alejandro Allendes, Gilberto Campaña, Enrique Otárola
Bilinear optimal control for the Stokes-Brinkman equations: a priori and a posteriori error analyses. CoRR (2024)
Gilberto Campaña, Pablo Muñoz, Enrique Otárola
Finite element approximation for a convective Brinkman-Forchheimer problem coupled with a heat equation. CoRR (2024)
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) (2023)
Francisco Bersetche, Francisco Fuica, Enrique Otárola, Daniel Quero
Fractional, semilinear, and sparse optimal control: a priori error bounds. CoRR (2023)
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) (2023)
Alejandro Allendes, Gilberto Campaña, Enrique Otárola
Numerical discretization of a Brinkman-Darcy-Forchheimer model under singular forcing. CoRR (2023)
Alejandro Allendes, Gilberto Campaña, Enrique Otárola, Abner J. Salgado
The linear elasticity system under singular forces. CoRR (2023)
Francisco Bersetche, Francisco Fuica, Enrique Otárola, Daniel Quero
Bilinear optimal control for the fractional Laplacian: error estimates on Lipschitz domains. CoRR (2023)
Francisco Fuica, Enrique Otárola
A pointwise tracking optimal control problem for the stationary Navier-Stokes equations. CoRR (2023)
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) (2022)
Alejandro Allendes, Gilberto Campaña, Enrique Otárola
Numerical discretization of a Darcy-Forchheimer problem coupled with a singular heat equation. CoRR (2022)
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) (2022)
Enrique Otárola
Error estimates for fractional semilinear optimal control on Lipschitz polytopes. CoRR (2022)
Francisco Fuica, Enrique Otárola
A posteriori error estimates for an optimal control problem with a bilinear state equation. CoRR (2022)
Enrique Otárola
Fractional Semilinear Optimal Control: Optimality Conditions, Convergence, and Error Analysis. SIAM J. Numer. Anal. 60 (1) (2022)
Francisco Fuica, Enrique Otárola
A Posteriori Error Estimates for an Optimal Control Problem with a Bilinear State Equation. J. Optim. Theory Appl. 194 (2) (2022)
Alejandro Allendes, G. Campaña, Francisco Fuica, Enrique Otárola
Darcy's problem coupled with the heat equation under singular forcing: analysis and discretization. CoRR (2022)
Francisco Fuica, Felipe Lepe, Enrique Otárola, Daniel Quero
spaces for the Stokes system with Dirac measures. Comput. Math. Appl. 94 (2021)
Felipe Lepe, Enrique Otárola, Daniel Quero
Error Estimates for FEM Discretizations of the Navier-Stokes Equations with Dirac Measures. J. Sci. Comput. 87 (3) (2021)
Christian A. Glusa, Enrique Otárola
Error Estimates for the Optimal Control of a Parabolic Fractional PDE. SIAM J. Numer. Anal. 59 (2) (2021)
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) (2021)
Enrique Otárola
Semilinear optimal control with Dirac measures. CoRR (2021)
Ricardo G. Durán, Enrique Otárola, Abner J. Salgado
Stability of the Stokes projection on weighted spaces and applications. Math. Comput. 89 (324) (2020)
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 (2020)
Alejandro Allendes, Francisco Fuica, Enrique Otárola
Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation. CoRR (2020)
Alejandro Allendes, Enrique Otárola, Abner J. Salgado
The stationary Boussinesq problem under singular forcing. CoRR (2020)
Enrique Otárola, Abner J. Salgado
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra. CoRR (2020)
Enrique Otárola, Abner J. Salgado
A weighted setting for the stationary Navier Stokes equations under singular forcing. Appl. Math. Lett. 99 (2020)
Enrique Otárola
Fractional semilinear optimal control: optimality conditions, convergence, and error analysis. CoRR (2020)
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) (2020)
Francisco Fuica, Felipe Lepe, Enrique Otárola, Daniel Quero
spaces for the Stokes system with Dirac measures. CoRR (2019)
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) (2019)
Enrique Otárola, Richard Rankin, Abner J. Salgado
Maximum-norm a posteriori error estimates for an optimal control problem. Comput. Optim. Appl. 73 (3) (2019)
Marta D'Elia, Christian A. Glusa, Enrique Otárola
A Priori Error Estimates for the Optimal Control of the Integral Fractional Laplacian. SIAM J. Control. Optim. 57 (4) (2019)
Alejandro Allendes, Enrique Otárola, Abner J. Salgado
A posteriori error estimates for the stationary Navier Stokes equations with Dirac measures. CoRR (2019)
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) (2019)
Lehel Banjai, Enrique Otárola
A PDE approach to fractional diffusion: a space-fractional wave equation. Numerische Mathematik 143 (1) (2019)
Francisco Fuica, Enrique Otárola, Daniel Quero
Error estimates for optimal control problems of the Stokes system with Dirac measures. CoRR (2019)
Enrique Otárola
An adaptive finite element method for the sparse optimal control of fractional diffusion. CoRR (2019)
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) (2019)
Alejandro Allendes, Francisco Fuica, Enrique Otárola, Daniel Quero
A posteriori error estimates for semilinear optimal control problems. CoRR (2019)
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) (2018)
Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
Numerical methods for fractional diffusion. Comput. Vis. Sci. 19 (5-6) (2018)
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) (2018)
Enrique Otárola, Abner J. Salgado
Sparse Optimal Control for Fractional Diffusion. Comput. Methods Appl. Math. 18 (1) (2018)
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) (2017)
Harbir Antil, Enrique Otárola, Abner J. Salgado
A Space-Time Fractional Optimal Control Problem: Analysis and Discretization. SIAM J. Control. Optim. 54 (3) (2016)
Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
A PDE Approach to Space-Time Fractional Parabolic Problems. SIAM J. Numer. Anal. 54 (2) (2016)
Alejandro Allendes, Erwin Hernández, Enrique Otárola
A robust numerical method for a control problem involving singularly perturbed equations. Comput. Math. Appl. 72 (4) (2016)
Long Chen, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Math. Comput. 85 (302) (2016)
Enrique Otárola, Abner J. Salgado
Finite Element Approximation of the Parabolic Fractional Obstacle Problem. SIAM J. Numer. Anal. 54 (4) (2016)
Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. Numerische Mathematik 132 (1) (2016)
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) (2015)
Long Chen, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
A PDE approach to fractional diffusion: A posteriori error analysis. J. Comput. Phys. 293 (2015)
Harbir Antil, Enrique Otárola
A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators. SIAM J. Control. Optim. 53 (6) (2015)
Erwin Hernández, Dante Kalise, Enrique Otárola
A locking-free scheme for the LQR control of a Timoshenko beam. J. Comput. Appl. Math. 235 (5) (2011)
Erwin Hernández, Dante Kalise, Enrique Otárola
Numerical approximation of the LQR problem in a strongly damped wave equation. Comput. Optim. Appl. 47 (1) (2010)
Erwin Hernández, Enrique Otárola
A Locking-Free FEM in Active Vibration Control of a Timoshenko Beam. SIAM J. Numer. Anal. 47 (4) (2009)