Abner J. Salgado

Orcid: 0000-0002-3693-2104

According to our database1, Abner J. Salgado authored at least 39 papers between 2009 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2023
Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties.
J. Num. Math., December, 2023

Numerical approximation of variational problems with orthotropic growth.
CoRR, 2023

The linear elasticity system under singular forces.
CoRR, 2023

Pointwise gradient estimate of the ritz projection.
CoRR, 2023

On the Optimal Control of a Linear Peridynamics Model.
CoRR, 2023

2022
On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra.
Numerische Mathematik, 2022

Convergent, with rates, methods for normalized infinity Laplace, and related, equations.
CoRR, 2022

Benchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes.
CoRR, 2022

2021
Preconditioned Accelerated Gradient Descent Methods for Locally Lipschitz Smooth Objectives with Applications to the Solution of Nonlinear PDEs.
J. Sci. Comput., 2021

The Darcy problem with porosity depending exponentially on the pressure.
J. Comput. Appl. Math., 2021

Time fractional gradient flows: Theory and numerics.
CoRR, 2021

2020
A Posteriori Error Estimates for the Stationary Navier-Stokes Equations with Dirac Measures.
SIAM J. Sci. Comput., 2020

Stability of the Stokes projection on weighted spaces and applications.
Math. Comput., 2020

Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators.
CoRR, 2020

The stationary Boussinesq problem under singular forcing.
CoRR, 2020

A weighted setting for the stationary Navier Stokes equations under singular forcing.
Appl. Math. Lett., 2020

2019
Tensor FEM for Spectral Fractional Diffusion.
Found. Comput. Math., 2019

Maximum-norm a posteriori error estimates for an optimal control problem.
Comput. Optim. Appl., 2019

An a posteriori error analysis of an elliptic optimal control problem in measure space.
Comput. Math. Appl., 2019

2018
Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects.
J. Sci. Comput., 2018

Numerical methods for fractional diffusion.
Comput. Vis. Sci., 2018

Sparse Optimal Control for Fractional Diffusion.
Comput. Methods Appl. Math., 2018

2017
Adaptive finite element methods for an optimal control problem involving Dirac measures.
Numerische Mathematik, 2017

Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms.
J. Comput. Phys., 2017

Numerical analysis of strongly nonlinear PDEs.
Acta Numer., 2017

2016
Finite Element Approximation of the Parabolic Fractional Obstacle Problem.
SIAM J. Numer. Anal., 2016

A PDE Approach to Space-Time Fractional Parabolic Problems.
SIAM J. Numer. Anal., 2016

A Space-Time Fractional Optimal Control Problem: Analysis and Discretization.
SIAM J. Control. Optim., 2016

Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications.
Numerische Mathematik, 2016

Multilevel methods for nonuniformly elliptic operators and fractional diffusion.
Math. Comput., 2016

2015
A total variation diminishing interpolation operator and applications.
Math. Comput., 2015

Convergence Analysis of Fractional Time-Stepping Techniques for Incompressible Fluids with Microstructure.
J. Sci. Comput., 2015

A PDE approach to fractional diffusion: A posteriori error analysis.
J. Comput. Phys., 2015

A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis.
Found. Comput. Math., 2015

2014
Discrete Total Variation Flows without Regularization.
SIAM J. Numer. Anal., 2014

2013
A Note on the Ladyženskaja-Babuška-Brezzi Condition.
J. Sci. Comput., 2013

2012
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains.
Math. Comput., 2012

2011
Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density.
SIAM J. Numer. Anal., 2011

2009
A splitting method for incompressible flows with variable density based on a pressure Poisson equation.
J. Comput. Phys., 2009


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