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Salgado, Abner J.

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Author ID: salgado.abner-j Recent zbMATH articles by "Salgado, Abner J."
Published as: Salgado, Abner J.; Salgado, Abner; Salgado, A. J.
External Links: MGP
Documents Indexed: 50 Publications since 2008

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 525 times in 379 Documents Cited by Year
A PDE approach to fractional diffusion in general domains: a priori error analysis. Zbl 1347.65178
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
97
2015
A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028
Guermond, J.-L.; Salgado, Abner
56
2009
A PDE approach to space-time fractional parabolic problems. Zbl 1337.26014
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
48
2016
A space-time fractional optimal control problem: analysis and discretization. Zbl 1339.49003
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
26
2016
Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. Zbl 1375.35149
Feng, Wenqiang; Salgado, Abner J.; Wang, Cheng; Wise, Steven M.
23
2017
Numerical analysis of strongly nonlinear PDEs. Zbl 1381.65092
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun
22
2017
Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318
Guermond, J.-L.; Salgado, Abner J.
20
2011
Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. Zbl 1334.65030
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
20
2016
Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Zbl 1344.65117
Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
19
2016
Discrete total variation flows without regularization. Zbl 1292.65106
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
17
2014
The equations of ferrohydrodynamics: modeling and numerical methods. Zbl 1416.76347
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
15
2016
A diffuse interface model for electrowetting with moving contact lines. Zbl 1280.35114
Nochetto, Ricardo H.; Salgado, Abner J.; Walker, Shawn W.
13
2014
A PDE approach to fractional diffusion: a posteriori error analysis. Zbl 1349.65614
Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
13
2015
Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects. Zbl 1407.49056
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
11
2018
A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines. Zbl 1304.35503
Salgado, Abner J.
10
2013
A diffuse interface model for two-phase ferrofluid flows. Zbl 1439.76088
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
9
2016
The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing. Zbl 1404.35122
Otárola, Enrique; Salgado, Abner J.
8
2019
A total variation diminishing interpolation operator and applications. Zbl 1321.65017
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
7
2015
Adaptive finite element methods for an optimal control problem involving Dirac measures. Zbl 1375.49049
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
7
2017
Tensor FEM for spectral fractional diffusion. Zbl 1429.65272
Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph
7
2019
Finite element approximation of the parabolic fractional obstacle problem. Zbl 1349.65473
Otárola, Enrique; Salgado, Abner J.
7
2016
Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166
Girault, Vivette; Murat, François; Salgado, Abner
6
2010
The micropolar Navier-Stokes equations: a priori error analysis. Zbl 1288.76019
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
6
2014
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Zbl 1307.65145
Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J.
5
2012
Convergence rates for the classical, thin and fractional elliptic obstacle problems. Zbl 1353.65065
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
5
2015
A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Zbl 1144.76043
Guermond, Jean-Luc; Salgado, Abner
4
2008
Some applications of weighted norm inequalities to the error analysis of PDE-constrained optimization problems. Zbl 06983833
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
4
2018
Regularity of solutions to space-time fractional wave equations: A PDE approach. Zbl 1427.35335
Otárola, Enrique; Salgado, Abner J.
4
2019
A note on the Ladyženskaja-Babuška-Brezzi condition. Zbl 1276.65081
Guzmán, Johnny; Salgado, Abner J.; Sayas, Francisco-Javier
3
2013
A note on the Stokes operator and its powers. Zbl 1219.35170
Guermond, Jean-Luc; Salgado, Abner
3
2011
Convergence analysis of fractional time-stepping techniques for incompressible fluids with microstructure. Zbl 1327.35302
Salgado, Abner J.
3
2015
Generalized Newtonian fluid flow through a porous medium. Zbl 1325.76178
Ervin, V. J.; Lee, Hyesuk; Salgado, A. J.
3
2016
Finite element approximation of the Isaacs equation. Zbl 1433.65311
Salgado, Abner J.; Zhang, Wujun
3
2019
A weighted setting for the stationary Navier Stokes equations under singular forcing. Zbl 1428.35309
Otárola, Enrique; Salgado, Abner J.
3
2020
On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions. Zbl 1397.35178
Olshanskii, Maxim A.; Rebholz, Leo G.; Salgado, Abner J.
3
2018
An a posteriori error analysis for an optimal control problem with point sources. Zbl 1415.49002
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
3
2018
Stability of the Stokes projection on weighted spaces and applications. Zbl 1437.35572
Durán, Ricardo G.; Otárola, Enrique; Salgado, Abner J.
3
2020
A posteriori error estimates for the Stokes problem with singular sources. Zbl 1440.65171
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
3
2019
A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures. Zbl 1448.35384
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2
2020
Approximation of elliptic equations with BMO coefficients. Zbl 1337.65146
Antil, Harbir; Salgado, Abner J.
1
2016
Sparse optimal control for fractional diffusion. Zbl 1388.35214
Otárola, Enrique; Salgado, Abner J.
1
2018
Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions. Zbl 1439.76080
Lee, Sanghyun; Salgado, Abner J.
1
2016
Finite element approximation of an obstacle problem for a class of integro-differential operators. Zbl 1442.65347
Bonito, Andrea; Lei, Wenyu; Salgado, Abner J.
1
2020
A weighted setting for the stationary Navier Stokes equations under singular forcing. Zbl 1428.35309
Otárola, Enrique; Salgado, Abner J.
3
2020
Stability of the Stokes projection on weighted spaces and applications. Zbl 1437.35572
Durán, Ricardo G.; Otárola, Enrique; Salgado, Abner J.
3
2020
A posteriori error estimates for the stationary Navier-Stokes equations with Dirac measures. Zbl 1448.35384
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
2
2020
Finite element approximation of an obstacle problem for a class of integro-differential operators. Zbl 1442.65347
Bonito, Andrea; Lei, Wenyu; Salgado, Abner J.
1
2020
The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing. Zbl 1404.35122
Otárola, Enrique; Salgado, Abner J.
8
2019
Tensor FEM for spectral fractional diffusion. Zbl 1429.65272
Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph
7
2019
Regularity of solutions to space-time fractional wave equations: A PDE approach. Zbl 1427.35335
Otárola, Enrique; Salgado, Abner J.
4
2019
Finite element approximation of the Isaacs equation. Zbl 1433.65311
Salgado, Abner J.; Zhang, Wujun
3
2019
A posteriori error estimates for the Stokes problem with singular sources. Zbl 1440.65171
Allendes, Alejandro; Otárola, Enrique; Salgado, Abner J.
3
2019
Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects. Zbl 1407.49056
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
11
2018
Some applications of weighted norm inequalities to the error analysis of PDE-constrained optimization problems. Zbl 06983833
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
4
2018
On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions. Zbl 1397.35178
Olshanskii, Maxim A.; Rebholz, Leo G.; Salgado, Abner J.
3
2018
An a posteriori error analysis for an optimal control problem with point sources. Zbl 1415.49002
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
3
2018
Sparse optimal control for fractional diffusion. Zbl 1388.35214
Otárola, Enrique; Salgado, Abner J.
1
2018
Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. Zbl 1375.35149
Feng, Wenqiang; Salgado, Abner J.; Wang, Cheng; Wise, Steven M.
23
2017
Numerical analysis of strongly nonlinear PDEs. Zbl 1381.65092
Neilan, Michael; Salgado, Abner J.; Zhang, Wujun
22
2017
Adaptive finite element methods for an optimal control problem involving Dirac measures. Zbl 1375.49049
Allendes, Alejandro; Otárola, Enrique; Rankin, Richard; Salgado, Abner J.
7
2017
A PDE approach to space-time fractional parabolic problems. Zbl 1337.26014
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
48
2016
A space-time fractional optimal control problem: analysis and discretization. Zbl 1339.49003
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
26
2016
Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. Zbl 1334.65030
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
20
2016
Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Zbl 1344.65117
Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
19
2016
The equations of ferrohydrodynamics: modeling and numerical methods. Zbl 1416.76347
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
15
2016
A diffuse interface model for two-phase ferrofluid flows. Zbl 1439.76088
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
9
2016
Finite element approximation of the parabolic fractional obstacle problem. Zbl 1349.65473
Otárola, Enrique; Salgado, Abner J.
7
2016
Generalized Newtonian fluid flow through a porous medium. Zbl 1325.76178
Ervin, V. J.; Lee, Hyesuk; Salgado, A. J.
3
2016
Approximation of elliptic equations with BMO coefficients. Zbl 1337.65146
Antil, Harbir; Salgado, Abner J.
1
2016
Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions. Zbl 1439.76080
Lee, Sanghyun; Salgado, Abner J.
1
2016
A PDE approach to fractional diffusion in general domains: a priori error analysis. Zbl 1347.65178
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
97
2015
A PDE approach to fractional diffusion: a posteriori error analysis. Zbl 1349.65614
Chen, Long; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
13
2015
A total variation diminishing interpolation operator and applications. Zbl 1321.65017
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
7
2015
Convergence rates for the classical, thin and fractional elliptic obstacle problems. Zbl 1353.65065
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
5
2015
Convergence analysis of fractional time-stepping techniques for incompressible fluids with microstructure. Zbl 1327.35302
Salgado, Abner J.
3
2015
Discrete total variation flows without regularization. Zbl 1292.65106
Bartels, Sören; Nochetto, Ricardo H.; Salgado, Abner J.
17
2014
A diffuse interface model for electrowetting with moving contact lines. Zbl 1280.35114
Nochetto, Ricardo H.; Salgado, Abner J.; Walker, Shawn W.
13
2014
The micropolar Navier-Stokes equations: a priori error analysis. Zbl 1288.76019
Nochetto, Ricardo H.; Salgado, Abner J.; Tomas, Ignacio
6
2014
A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines. Zbl 1304.35503
Salgado, Abner J.
10
2013
A note on the Ladyženskaja-Babuška-Brezzi condition. Zbl 1276.65081
Guzmán, Johnny; Salgado, Abner J.; Sayas, Francisco-Javier
3
2013
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Zbl 1307.65145
Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J.
5
2012
Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318
Guermond, J.-L.; Salgado, Abner J.
20
2011
A note on the Stokes operator and its powers. Zbl 1219.35170
Guermond, Jean-Luc; Salgado, Abner
3
2011
Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166
Girault, Vivette; Murat, François; Salgado, Abner
6
2010
A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028
Guermond, J.-L.; Salgado, Abner
56
2009
A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Zbl 1144.76043
Guermond, Jean-Luc; Salgado, Abner
4
2008
all top 5

Cited by 623 Authors

32 Salgado, Abner J.
27 Otárola, Enrique
15 Nochetto, Ricardo Horacio
11 Yang, Xiaofeng
10 Antil, Harbir
10 Bartels, Sören
10 Wise, Steven M.
9 Wang, Cheng
7 Allendes, Alejandro
7 Nguyen Huy Tuan
7 Vabishchevich, Pëtr Nikolaevich
7 Yoshioka, Hidekazu
6 Glusa, Christian
5 del Teso, Félix
5 Feng, Wenqiang
5 Shen, Jie
4 Ainsworth, Mark
4 An, Rong
4 Bonito, Andrea
4 Borthagaray, Juan Pablo
4 Harizanov, Stanislav
4 He, Xiaoming
4 Izsák, Ferenc
4 Li, Jian
4 Margenov, Svetozar D.
4 Melenk, Jens Markus
4 Milicevic, Marijo
4 Minev, Peter Dimitrov
4 Neilan, Michael
4 Ngoc, Tran Bao
4 Quero, Daniel
4 Rankin, Richard
4 Wang, Xiaoping
4 Yaegashi, Yuta
4 Yoshioka, Yumi
4 Zhou, Zhaojie
3 Acosta, Gabriel
3 Biala, Toheeb A.
3 Brenner, Susanne Cecelia
3 Burger, Martin
3 Cai, Xiao-Chuan
3 Chen, Hongtao
3 Chen, Wenbin
3 Chen, Yanping
3 Čiegis, Raimondas
3 Deng, Weihua
3 Durán, Ricardo G.
3 Ervin, Vincent J.
3 Feng, Xiaobing
3 Fuica, Francisco
3 Gilboa, Guy
3 Grasselli, Maurizio
3 Gudi, Thirupathi
3 Guermond, Jean-Luc
3 Gunzburger, Max D.
3 Han, Daozhi
3 Khaliq, Abdul Q. M.
3 Lazarov, Raytcho D.
3 Luo, Li
3 Majumder, Papri
3 Mei, Liquan
3 Miranville, Alain M.
3 Möller, Michael
3 O’Regan, Donal
3 Pasciak, Joseph E.
3 Pfefferer, Johannes
3 Rebholz, Leo G.
3 Schwab, Christoph
3 Scrobogna, Stefano
3 Sprekels, Jürgen
3 Sun, Shuyu
3 Szekeres, Béla J.
3 Tomas, Ignacio
3 Wang, Hong
3 Wu, Shulin
3 Yao, Jun
3 Zhang, Qian
3 Zhang, Wujun
3 Zhu, Guangpu
2 Abbaszadeh, Mostafa
2 Alzahrani, S. S.
2 Au, Vo Van
2 Banjai, Lehel
2 Bu, Weiping
2 Caraballo Garrido, Tomás
2 Chen, Long
2 Chen, Minghua
2 Cheng, Kelong
2 Colli, Pierluigi
2 Cusimano, Nicole
2 Debbouche, Amar
2 Dehghan Takht Fooladi, Mehdi
2 Du, Qiang
2 Eckardt, Lina
2 Endal, Jørgen
2 Faustmann, Markus
2 Feng, Xinlong
2 Furati, Khaled M.
2 Gal, Ciprian Gheorghe Sorin
2 Gallistl, Dietmar
...and 523 more Authors
all top 5

Cited in 83 Serials

32 Computers & Mathematics with Applications
30 Journal of Scientific Computing
29 Journal of Computational Physics
25 SIAM Journal on Numerical Analysis
24 Journal of Computational and Applied Mathematics
15 SIAM Journal on Scientific Computing
13 Computer Methods in Applied Mechanics and Engineering
13 Applied Numerical Mathematics
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 Mathematics of Computation
9 Numerische Mathematik
7 SIAM Journal on Control and Optimization
6 Journal of Mathematical Analysis and Applications
6 Applied Mathematics and Computation
5 Applied Mathematics Letters
5 SIAM Journal on Mathematical Analysis
5 Advances in Computational Mathematics
5 Advances in Applied Mathematics and Mechanics
4 Applied Mathematics and Optimization
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Fractional Calculus & Applied Analysis
4 Communications in Nonlinear Science and Numerical Simulation
4 Computational Methods in Applied Mathematics
3 Computers and Fluids
3 Inverse Problems
3 Chaos, Solitons and Fractals
3 Calcolo
3 Journal of Differential Equations
3 Mathematics and Computers in Simulation
3 Applied Mathematical Modelling
3 Journal of Mathematical Imaging and Vision
3 Engineering Analysis with Boundary Elements
3 Discrete and Continuous Dynamical Systems. Series B
3 Discrete and Continuous Dynamical Systems. Series S
2 Applicable Analysis
2 Journal of Fluid Mechanics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Advances in Mathematics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Journal of Mathematical Fluid Mechanics
2 Journal of Numerical Mathematics
2 Multiscale Modeling & Simulation
2 Oberwolfach Reports
2 SIAM Journal on Imaging Sciences
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 International Journal for Numerical Methods in Fluids
1 Nonlinearity
1 Archiv der Mathematik
1 BIT
1 Integral Equations and Operator Theory
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Monatshefte für Mathematik
1 Chinese Annals of Mathematics. Series B
1 Bulletin of the Iranian Mathematical Society
1 Optimization
1 Revista Matemática Iberoamericana
1 SIAM Journal on Matrix Analysis and Applications
1 Numerical Algorithms
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 Computational Optimization and Applications
1 Discrete and Continuous Dynamical Systems
1 Journal of Vibration and Control
1 Positivity
1 Nonlinear Analysis. Real World Applications
1 Nonlinear Analysis. Modelling and Control
1 Mathematical Modelling and Analysis
1 Foundations of Computational Mathematics
1 Advanced Nonlinear Studies
1 Communications on Pure and Applied Analysis
1 Acta Numerica
1 Journal of Biological Dynamics
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Evolution Equations and Control Theory
1 SIAM/ASA Journal on Uncertainty Quantification
1 Philosophical Transactions A. Royal Society of London
1 Korean Journal of Mathematics
1 Electronic Research Archive

Citations by Year