A splitting method for incompressible flows with variable density based on a pressure Poisson equation. - Jean-Luc Guermond; Abner J. Salgado (J. Comput. Phys., 2009)

Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density. - Jean-Luc Guermond; Abner J. Salgado (SIAM J. Numer. Anal., 2011)

Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. - Jean-Luc Guermond; Peter D. Minev; Abner J. Salgado (Math. Comput., 2012)

A Note on the Ladyženskaja-Babuška-Brezzi Condition. - Johnny Guzmán; Abner J. Salgado; Francisco-Javier Sayas (J. Sci. Comput., 2013)

Discrete Total Variation Flows without Regularization. - Sören Bartels; Ricardo H. Nochetto; Abner J. Salgado (SIAM J. Numer. Anal., 2014)

A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis. - Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (Found. Comput. Math., 2015)

A PDE approach to fractional diffusion: A posteriori error analysis. - Long Chen 002; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (J. Comput. Phys., 2015)

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

A total variation diminishing interpolation operator and applications. - Sören Bartels; Ricardo H. Nochetto; Abner J. Salgado (Math. Comput., 2015)

Multilevel methods for nonuniformly elliptic operators and fractional diffusion. - Long Chen 002; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (Math. Comput., 2016)

Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. - Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (Numerische Mathematik, 2016)

A Space-Time Fractional Optimal Control Problem: Analysis and Discretization. - Harbir Antil; Enrique Otárola; Abner J. Salgado (SIAM J. Control. Optim., 2016)

A PDE Approach to Space-Time Fractional Parabolic Problems. - Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (SIAM J. Numer. Anal., 2016)

Finite Element Approximation of the Parabolic Fractional Obstacle Problem. - Enrique Otárola; Abner J. Salgado (SIAM J. Numer. Anal., 2016)

Numerical analysis of strongly nonlinear PDEs. - Michael Neilan; Abner J. Salgado; Wujun Zhang (Acta Numer., 2017)

Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. - Wenqiang Feng; Abner J. Salgado; Cheng Wang 015; Steven M. Wise (J. Comput. Phys., 2017)

Adaptive finite element methods for an optimal control problem involving Dirac measures. - Alejandro Allendes; Enrique Otárola; Richard Rankin; Abner J. Salgado (Numerische Mathematik, 2017)

Sparse Optimal Control for Fractional Diffusion. - Enrique Otárola; Abner J. Salgado (Comput. Methods Appl. Math., 2018)

Numerical methods for fractional diffusion. - Andrea Bonito; Juan Pablo Borthagaray; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (Comput. Vis. Sci., 2018)

Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects. - Harbir Antil; Enrique Otárola; Abner J. Salgado (J. Sci. Comput., 2018)

An a posteriori error analysis of an elliptic optimal control problem in measure space. - Francisco Fuica; Enrique Otárola; Abner J. Salgado (Comput. Math. Appl., 2019)

Maximum-norm a posteriori error estimates for an optimal control problem. - Enrique Otárola; Richard Rankin; Abner J. Salgado (Comput. Optim. Appl., 2019)

Tensor FEM for Spectral Fractional Diffusion. - Lehel Banjai; Jens Markus Melenk; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado; Christoph Schwab (Found. Comput. Math., 2019)

A weighted setting for the stationary Navier Stokes equations under singular forcing. - Enrique Otárola; Abner J. Salgado (Appl. Math. Lett., 2020)

The stationary Boussinesq problem under singular forcing. - Alejandro Allendes; Enrique Otárola; Abner J. Salgado (CoRR, 2020)

Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators. - Johnny Guzmán; Abner J. Salgado (CoRR, 2020)

Stability of the Stokes projection on weighted spaces and applications. - Ricardo G. Durán; Enrique Otárola; Abner J. Salgado (Math. Comput., 2020)

A Posteriori Error Estimates for the Stationary Navier-Stokes Equations with Dirac Measures. - Alejandro Allendes; Enrique Otárola; Abner J. Salgado (SIAM J. Sci. Comput., 2020)

Time fractional gradient flows: Theory and numerics. - Wenbo Li 009; Abner J. Salgado (CoRR, 2021)

The Darcy problem with porosity depending exponentially on the pressure. - Zerihun Kinfe Birhanu; Tadele Mengesha; Abner J. Salgado (J. Comput. Appl. Math., 2021)

Preconditioned Accelerated Gradient Descent Methods for Locally Lipschitz Smooth Objectives with Applications to the Solution of Nonlinear PDEs. - Jea-Hyun Park; Abner J. Salgado; Steven M. Wise (J. Sci. Comput., 2021)

Benchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes. - Jea-Hyun Park; Abner J. Salgado; Steven M. Wise (CoRR, 2022)

Convergent, with rates, methods for normalized infinity Laplace, and related, equations. - Wenbo Li 009; Abner J. Salgado (CoRR, 2022)

On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra. - Enrique Otárola; Abner J. Salgado (Numerische Mathematik, 2022)

On the Optimal Control of a Linear Peridynamics Model. - Tadele Mengesha; Abner J. Salgado; Joshua M. Siktar (CoRR, 2023)

Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties. - Abner J. Salgado; Ignacio Tomas (J. Num. Math., 2023)

The linear elasticity system under singular forces. - Alejandro Allendes; Gilberto Campaña; Enrique Otárola; Abner J. Salgado (Appl. Math. Lett., 2024)

Monotone two-scale methods for a class of integrodifferential operators and applications. - Juan Pablo Borthagaray; Ricardo H. Nochetto; Abner J. Salgado; Céline Torres (CoRR, 2024)

Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes. - Tadele Mengesha; Enrique Otárola; Abner J. Salgado (CoRR, 2024)

Analysis and finite element approximation of a diffuse interface approach to the Stokes-Biot coupling. - Francis R. A. Aznaran; Martina Bukac; Boris Muha; Abner J. Salgado (CoRR, 2024)

A Semi-Analytic Diagonalization FEM for the Spectral Fractional Laplacian. - Abner J. Salgado; Shane E. Sawyer (CoRR, 2024)

Asymptotic compatibility of parametrized optimal design problems. - Tadele Mengesha; Abner J. Salgado; Joshua M. Siktar (CoRR, 2024)

Finite element discretization of weighted p-Laplace problems. - Enrique Otárola; Abner J. Salgado (CoRR, 2024)

Pointwise Gradient Estimate of the Ritz Projection. - Lars Diening; Julian Rolfes; Abner J. Salgado (SIAM J. Numer. Anal., 2024)

Numerical approximation of variational problems with orthotropic growth. - Anna Kh. Balci; Lars Diening; Abner J. Salgado (Numerische Mathematik, 2024)