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Abner J. Salgado
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2020 – today
- 2024
- [j33]Alejandro Allendes, Gilberto Campaña, Enrique Otárola, Abner J. Salgado:
The linear elasticity system under singular forces. Appl. Math. Lett. 158: 109258 (2024) - [j32]Anna Kh. Balci, Lars Diening, Abner J. Salgado:
Numerical approximation of variational problems with orthotropic growth. Numerische Mathematik 156(5): 1751-1779 (2024) - [j31]Lars Diening, Julian Rolfes, Abner J. Salgado:
Pointwise Gradient Estimate of the Ritz Projection. SIAM J. Numer. Anal. 62(3): 1212-1225 (2024) - [i18]Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado, Céline Torres:
Monotone two-scale methods for a class of integrodifferential operators and applications. CoRR abs/2405.17652 (2024) - [i17]Tadele Mengesha, Enrique Otárola, Abner J. Salgado:
Analysis and approximation of elliptic problems with Uhlenbeck structure in convex polytopes. CoRR abs/2406.10762 (2024) - [i16]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 abs/2407.05949 (2024) - [i15]Abner J. Salgado, Shane E. Sawyer:
A Semi-Analytic Diagonalization FEM for the Spectral Fractional Laplacian. CoRR abs/2409.17388 (2024) - 2023
- [j30]Abner J. Salgado, Ignacio Tomas:
Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties. J. Num. Math. 31(4): 313-342 (2023) - [i14]Tadele Mengesha, Abner J. Salgado, Joshua M. Siktar:
On the Optimal Control of a Linear Peridynamics Model. CoRR abs/2304.09328 (2023) - [i13]Lars Diening, Julian Rolfes, Abner J. Salgado:
Pointwise gradient estimate of the ritz projection. CoRR abs/2305.03575 (2023) - [i12]Alejandro Allendes, Gilberto Campaña, Enrique Otárola, Abner J. Salgado:
The linear elasticity system under singular forces. CoRR abs/2310.10866 (2023) - [i11]Anna Kh. Balci, Lars Diening, Abner J. Salgado:
Numerical approximation of variational problems with orthotropic growth. CoRR abs/2312.15539 (2023) - 2022
- [j29]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) - [i10]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 abs/2204.07247 (2022) - [i9]Abner J. Salgado, Ignacio Tomas:
Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties. CoRR abs/2205.13032 (2022) - [i8]Wenbo Li, Abner J. Salgado:
Convergent, with rates, methods for normalized infinity Laplace, and related, equations. CoRR abs/2209.06109 (2022) - 2021
- [j28]Zerihun Kinfe Birhanu, Tadele Mengesha, Abner J. Salgado:
The Darcy problem with porosity depending exponentially on the pressure. J. Comput. Appl. Math. 398: 113642 (2021) - [j27]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): 17 (2021) - [i7]Wenbo Li, Abner J. Salgado:
Time fractional gradient flows: Theory and numerics. CoRR abs/2101.00541 (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) - [i6]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) - [i5]Alejandro Allendes, Enrique Otárola, Abner J. Salgado:
The stationary Boussinesq problem under singular forcing. CoRR abs/2005.07548 (2020) - [i4]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 abs/2006.06732 (2020) - [i3]Johnny Guzmán, Abner J. Salgado:
Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators. CoRR abs/2010.04105 (2020) - [i2]Zerihun Kinfe Birhanu, Tadele Mengesha, Abner J. Salgado:
The Darcy problem with porosity depending exponentially on the pressure. CoRR abs/2011.02667 (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) - [i1]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) - 2018
- [j20]Enrique Otárola, Abner J. Salgado:
Sparse Optimal Control for Fractional Diffusion. Comput. Methods Appl. Math. 18(1): 95-110 (2018) - [j19]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) - [j18]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) - 2017
- [j17]Michael Neilan, Abner J. Salgado, Wujun Zhang:
Numerical analysis of strongly nonlinear PDEs. Acta Numer. 26: 137-303 (2017) - [j16]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: 45-67 (2017) - [j15]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
- [j14]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) - [j13]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) - [j12]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) - [j11]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) - [j10]Enrique Otárola, Abner J. Salgado:
Finite Element Approximation of the Parabolic Fractional Obstacle Problem. SIAM J. Numer. Anal. 54(4): 2619-2639 (2016) - 2015
- [j9]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) - [j8]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) - [j7]Abner J. Salgado:
Convergence Analysis of Fractional Time-Stepping Techniques for Incompressible Fluids with Microstructure. J. Sci. Comput. 64(1): 216-233 (2015) - [j6]Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado:
A total variation diminishing interpolation operator and applications. Math. Comput. 84(296): 2569-2587 (2015) - 2014
- [j5]Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado:
Discrete Total Variation Flows without Regularization. SIAM J. Numer. Anal. 52(1): 363-385 (2014) - 2013
- [j4]Johnny Guzmán, Abner J. Salgado, Francisco-Javier Sayas:
A Note on the Ladyženskaja-Babuška-Brezzi Condition. J. Sci. Comput. 56(2): 219-229 (2013) - 2012
- [j3]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): 1951-1977 (2012) - 2011
- [j2]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): 917-944 (2011)
2000 – 2009
- 2009
- [j1]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): 2834-2846 (2009)
Coauthor Index
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