Abner J. Salgado

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 40

Top Topics

Image Magnification

Finite Element Methods

Navier Stokes Equations

Top Venues

SIAM J. Numer. Anal.

Numerische Mathematik

J. Sci. Comput.

Publications

Alejandro Allendes, Gilberto Campaña, Enrique Otárola, Abner J. Salgado
The linear elasticity system under singular forces. Appl. Math. Lett. 158 (2024)
Lars Diening, Julian Rolfes, Abner J. Salgado
Pointwise Gradient Estimate of the Ritz Projection. SIAM J. Numer. Anal. 62 (3) (2024)
Tadele Mengesha, Enrique Otárola, Abner J. Salgado
Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes. CoRR (2024)
Francis R. A. Aznaran, Martina Bukac, Boris Muha, Abner J. Salgado
Analysis and finite element approximation of a diffuse interface approach to the Stokes-Biot coupling. CoRR (2024)
Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado, Céline Torres
Monotone two-scale methods for a class of integrodifferential operators and applications. CoRR (2024)
Tadele Mengesha, Abner J. Salgado, Joshua M. Siktar
On the Optimal Control of a Linear Peridynamics Model. CoRR (2023)
Lars Diening, Julian Rolfes, Abner J. Salgado
Pointwise gradient estimate of the ritz projection. CoRR (2023)
Anna Kh. Balci, Lars Diening, Abner J. Salgado
Numerical approximation of variational problems with orthotropic growth. CoRR (2023)
Abner J. Salgado, Ignacio Tomas
Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties. J. Num. Math. 31 (4) (2023)
Alejandro Allendes, Gilberto Campaña, Enrique Otárola, Abner J. Salgado
The linear elasticity system under singular forces. 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)
Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
Benchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes. CoRR (2022)
Wenbo Li, Abner J. Salgado
Convergent, with rates, methods for normalized infinity Laplace, and related, equations. CoRR (2022)
Abner J. Salgado, Ignacio Tomas
Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties. CoRR (2022)
Zerihun Kinfe Birhanu, Tadele Mengesha, Abner J. Salgado
The Darcy problem with porosity depending exponentially on the pressure. J. Comput. Appl. Math. 398 (2021)
Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
Preconditioned Accelerated Gradient Descent Methods for Locally Lipschitz Smooth Objectives with Applications to the Solution of Nonlinear PDEs. J. Sci. Comput. 89 (1) (2021)
Wenbo Li, Abner J. Salgado
Time fractional gradient flows: Theory and numerics. 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, Enrique Otárola, Abner J. Salgado
The stationary Boussinesq problem under singular forcing. CoRR (2020)
Johnny Guzmán, Abner J. Salgado
Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators. CoRR (2020)
Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
Preconditioned accelerated gradient descent methods for locally Lipschitz smooth objectives with applications to the solution of nonlinear PDEs. 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)
Zerihun Kinfe Birhanu, Tadele Mengesha, Abner J. Salgado
The Darcy problem with porosity depending exponentially on the pressure. CoRR (2020)
Enrique Otárola, Abner J. Salgado
A weighted setting for the stationary Navier Stokes equations under singular forcing. Appl. Math. Lett. 99 (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)
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)
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)
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)
Enrique Otárola, Abner J. Salgado
Sparse Optimal Control for Fractional Diffusion. Comput. Methods Appl. Math. 18 (1) (2018)
Wenqiang Feng, Abner J. Salgado, Cheng Wang, Steven M. Wise
Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. J. Comput. Phys. 334 (2017)
Michael Neilan, Abner J. Salgado, Wujun Zhang
Numerical analysis of strongly nonlinear PDEs. Acta Numer. 26 (2017)
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)
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)
Abner J. Salgado
Convergence Analysis of Fractional Time-Stepping Techniques for Incompressible Fluids with Microstructure. J. Sci. Comput. 64 (1) (2015)
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)
Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado
A total variation diminishing interpolation operator and applications. Math. Comput. 84 (296) (2015)
Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado
Discrete Total Variation Flows without Regularization. SIAM J. Numer. Anal. 52 (1) (2014)
Johnny Guzmán, Abner J. Salgado, Francisco-Javier Sayas
A Note on the Ladyženskaja-Babuška-Brezzi Condition. J. Sci. Comput. 56 (2) (2013)
Jean-Luc Guermond, Peter D. Minev, Abner J. Salgado
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Math. Comput. 81 (280) (2012)
Jean-Luc Guermond, Abner J. Salgado
Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density. SIAM J. Numer. Anal. 49 (3) (2011)
Jean-Luc Guermond, Abner J. Salgado
A splitting method for incompressible flows with variable density based on a pressure Poisson equation. J. Comput. Phys. 228 (8) (2009)