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1

Numerical analysis of strongly nonlinear PDEs

Neilan, Michael, Salgado, Abner J., Zhang, Wujun

Journal:

Year:

2017

Language:

english

File:

PDF, 1.25 MB

english, 2017

2

A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis

Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

Journal:

Foundations of Computational Mathematics

Year:

2015

Language:

english

File:

PDF, 1.02 MB

english, 2015

3

Convergence Analysis of Fractional Time-Stepping Techniques for Incompressible Fluids with Microstructure

Salgado, Abner J.

Journal:

Journal of Scientific Computing

Year:

2015

Language:

english

File:

PDF, 1.20 MB

english, 2015

4

A diffuse interface model for two-phase ferrofluid flows

Nochetto, Ricardo H., Salgado, Abner J., Tomas, Ignacio

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2016

Language:

english

File:

PDF, 2.71 MB

english, 2016

5

Weighted Sobolev Regularity and Rate of Approximation of the Obstacle Problem for the Integral Fractional Laplacian

Borthagaray, Juan Pablo, Nochetto, Ricardo H., Salgado, Abner J.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2019

File:

PDF, 1.69 MB

2019

6

Weighted Sobolev Regularity and Rate of Approximation of the Obstacle Problem for the Integral Fractional Laplacian

Borthagaray, Juan Pablo, Nochetto, Ricardo H., Salgado, Abner J.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2019

Language:

english

File:

PDF, 1.69 MB

english, 2019

7

A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines

Salgado, Abner J.

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2013

Language:

english

File:

PDF, 10.18 MB

english, 2013

8

A PDE Approach to Space-Time Fractional Parabolic Problems

Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

Journal:

SIAM Journal on Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 332 KB

english, 2016

9

A posteriori error estimates for the stokes problem with singular sources

Allendes, Alejandro, Otárola, Enrique, Salgado, Abner J.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2018

Language:

english

File:

PDF, 2.60 MB

english, 2018

10

Finite Element Approximation of the Parabolic Fractional Obstacle Problem

Otárola, Enrique, Salgado, Abner J.

Journal:

SIAM Journal on Numerical Analysis

Year:

2016

Language:

english

File:

PDF, 284 KB

english, 2016

11

Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions

Lee, Sanghyun, Salgado, Abner J.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2016

Language:

english

File:

PDF, 624 KB

english, 2016

12

The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing

Otárola, Enrique, Salgado, Abner J.

Journal:

Journal of Mathematical Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 347 KB

english, 2018

13

Convergence rates for the classical, thin and fractional elliptic obstacle problems

Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

Journal:

Philosophical Transactions Mathematical Physical & Engineering Sciences

Year:

2015

Language:

english

File:

PDF, 363 KB

english, 2015

14

Tensor FEM for Spectral Fractional Diffusion

Banjai, Lehel, Melenk, Jens M., Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J., Schwab, Christoph

Journal:

Foundations of Computational Mathematics

Year:

2018

Language:

english

File:

PDF, 1.64 MB

english, 2018

15

Finite element approximation of an obstacle problem for a class of integroâdifferential operators

Bonito, Andrea, Lei, Wenyu, Salgado, Abner J.

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2020

Language:

english

File:

PDF, 985 KB

english, 2020

16

A fractional step method based on a pressure Poisson equation for incompressible flows with variable density

Jean-Luc Guermond, Abner Salgado

Journal:

Comptes Rendus Mathematique

Year:

2008

Language:

french

File:

PDF, 303 KB

french, 2008

17

Adaptive finite element methods for an optimal control problem involving Dirac measures

Allendes, Alejandro, Otárola, Enrique, Rankin, Richard, Salgado, Abner J.

Journal:

Numerische Mathematik

Year:

2017

Language:

english

File:

PDF, 3.08 MB

english, 2017

18

A weighted setting for the stationary Navier Stokes equations under singular forcing

Otárola, Enrique, Salgado, Abner J.

Journal:

Applied Mathematics Letters

Year:

2019

File:

PDF, 218 KB

2019

19

Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects

Antil, Harbir, Otárola, Enrique, Salgado, Abner J.

Journal:

Journal of Scientific Computing

Year:

2018

Language:

english

File:

PDF, 575 KB

english, 2018

20

A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures

Allendes, Alejandro, OtÃ¡rola, Enrique, Salgado, Abner J.

Journal:

SIAM Journal on Scientific Computing

Year:

2020

File:

PDF, 3.09 MB

2020

21

Some applications of weighted norm inequalities to the error analysis of PDE-constrained optimization problems

Antil, Harbir, Otárola, Enrique, Salgado, Abner J

Journal:

IMA Journal of Numerical Analysis

Year:

2018

Language:

english

File:

PDF, 457 KB

english, 2018

22

A splitting method for incompressible flows with variable density based on a pressure Poisson equation

J.-L. Guermond, Abner Salgado

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 695 KB

english, 2009

23

Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms

Feng, Wenqiang, Salgado, Abner J., Wang, Cheng, Wise, Steven M.

Journal:

Journal of Computational Physics

Year:

2017

Language:

english

File:

PDF, 5.35 MB

english, 2017

24

A DIFFUSE INTERFACE MODEL FOR ELECTROWETTING WITH MOVING CONTACT LINES

NOCHETTO, RICARDO H., SALGADO, ABNER J., WALKER, SHAWN W.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2014

Language:

english

File:

PDF, 2.80 MB

english, 2014

25

Numerical methods for fractional diffusion

Bonito, Andrea, Borthagaray, Juan Pablo, Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

Journal:

Computing and Visualization in Science

Year:

2018

Language:

english

File:

PDF, 1.19 MB

english, 2018

26

Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications

Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

Journal:

Numerische Mathematik

Year:

2016

Language:

english

File:

PDF, 566 KB

english, 2016

27

Multilevel methods for nonuniformly elliptic operators and fractional diffusion

Chen, Long, Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

Journal:

Mathematics of Computation

Year:

2016

Language:

english

File:

PDF, 407 KB

english, 2016

28

Regularity of solutions to space–time fractional wave equations: A PDE approach

Otárola, Enrique, Salgado, Abner J.

Journal:

Fractional Calculus and Applied Analysis

Year:

2018

File:

PDF, 471 KB

2018

29

A total variation diminishing interpolation operator and applications

Bartels, Sören, Nochetto, Ricardo H., Salgado, Abner J.

Journal:

Mathematics of Computation

Year:

2015

Language:

english

File:

PDF, 353 KB

english, 2015

30

Finite element discretization of Darcy's equations with pressure dependent porosity

Girault, Vivette, Murat, François, Salgado, Abner

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2010

Language:

english

File:

PDF, 1.31 MB

english, 2010

31

Discrete Total Variation Flows without Regularization

Bartels, Sören, Nochetto, Ricardo H., Salgado, Abner J.

Journal:

SIAM Journal on Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 1.69 MB

english, 2014

32

Stability of the Stokes projection on weighted spaces and applications

DurÃ¡n, Ricardo G., OtÃ¡rola, Enrique, Salgado, Abner J.

Journal:

Mathematics of Computation

Year:

2020

Language:

english

File:

PDF, 370 KB

english, 2020

33

The equations of ferrohydrodynamics: Modeling and numerical methods

Nochetto, Ricardo H., Salgado, Abner J., Tomas, Ignacio

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2016

Language:

english

File:

PDF, 1.74 MB

english, 2016

34

An a posteriori error analysis of an elliptic optimal control problem in measure space

Fuica, Francisco, Otárola, Enrique, Salgado, Abner J.

Journal:

Computers & Mathematics with Applications

Year:

2019

Language:

english

File:

PDF, 1.54 MB

english, 2019

35

The Micropolar Navier–Stokes equations: A priori error analysis

Nochetto, Ricardo H., Salgado, Abner J., Tomas, Ignacio

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2014

Language:

english

File:

PDF, 570 KB

english, 2014

36

Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains

Guermond, Jean-Luc, Minev, Peter D., Salgado, Abner J.

Journal:

Mathematics of Computation

Year:

2012

Language:

english

File:

PDF, 1.37 MB

english, 2012

37

A PDE approach to fractional diffusion: A posteriori error analysis

Chen, Long, Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

Journal:

Journal of Computational Physics

Year:

2015

Language:

english

File:

PDF, 1.75 MB

english, 2015

38

Error Analysis of a Fractional Time-Stepping Technique for Incompressible Flows with Variable Density

Guermond, J.-L., Salgado, Abner J.

Journal:

SIAM Journal on Numerical Analysis

Year:

2011

Language:

english

File:

PDF, 319 KB

english, 2011

39

A Note on the Ladyženskaja-Babuška-Brezzi Condition

GuzmÃ¡n, Johnny, Salgado, Abner J., Sayas, Francisco-Javier

Journal:

Journal of Scientific Computing

Year:

2013

Language:

english

File:

PDF, 228 KB

english, 2013

40

Sparse Optimal Control for Fractional Diffusion

Otárola, Enrique, Salgado, Abner J.

Journal:

Computational Methods in Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 809 KB

english, 2017

41

A weighted setting for the stationary Navier Stokes equations under singular forcing

Otárola, Enrique, Salgado, Abner J.

Journal:

Applied Mathematics Letters

Year:

2019

Language:

english

File:

PDF, 218 KB

english, 2019

42

A Space-Time Fractional Optimal Control Problem: Analysis and Discretization

Antil, Harbir, Otárola, Enrique, Salgado, Abner J.

Journal:

SIAM Journal on Control and Optimization

Year:

2016

Language:

english

File:

PDF, 463 KB

english, 2016

43

An a posteriori error analysis for an optimal control problem with point sources

Allendes, Alejandro, Otárola, Enrique, Rankin, Richard, Salgado, Abner J.

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2018

Language:

english

File:

PDF, 2.35 MB

english, 2018

44

A note on the Stokes operator and its powers

Jean-Luc Guermond, Abner Salgado

Journal:

Journal of Applied Mathematics and Computing

Year:

2011

Language:

english

File:

PDF, 462 KB

english, 2011

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