Abner J. Salgado

1.5k total citations
41 papers, 883 citations indexed

About

Abner J. Salgado is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Abner J. Salgado has authored 41 papers receiving a total of 883 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Computational Mechanics, 26 papers in Computational Theory and Mathematics and 10 papers in Mathematical Physics. Recurrent topics in Abner J. Salgado's work include Advanced Numerical Methods in Computational Mathematics (26 papers), Advanced Mathematical Modeling in Engineering (25 papers) and Numerical methods in inverse problems (10 papers). Abner J. Salgado is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (26 papers), Advanced Mathematical Modeling in Engineering (25 papers) and Numerical methods in inverse problems (10 papers). Abner J. Salgado collaborates with scholars based in United States, Chile and France. Abner J. Salgado's co-authors include Jean‐Luc Guermond, Ricardo H. Nochetto, Enrique Otárola, Ignacio Tomaš, Harbir Antil, Wujun Zhang, Shawn W. Walker, Steven M. Wise, Michael Neilan and Wenqiang Feng and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Mathematics of Computation.

In The Last Decade

Abner J. Salgado

38 papers receiving 815 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Abner J. Salgado United States 16 561 239 235 183 167 41 883
Petr N. Vabishchevich Russia 14 359 0.6× 229 1.0× 243 1.0× 55 0.3× 28 0.2× 92 717
Charalambos Makridakis Greece 17 891 1.6× 519 2.2× 364 1.5× 60 0.3× 45 0.3× 48 1.1k
W. E. Olmstead United States 18 229 0.4× 461 1.9× 207 0.9× 353 1.9× 96 0.6× 92 1.1k
Hongxing Rui China 21 1.3k 2.4× 571 2.4× 442 1.9× 234 1.3× 78 0.5× 155 1.7k
Xiaochuan Tian United States 18 318 0.6× 190 0.8× 125 0.5× 192 1.0× 63 0.4× 39 905
Shipeng Mao China 17 816 1.5× 189 0.8× 278 1.2× 54 0.3× 49 0.3× 81 1.0k
Wenqiang Feng United States 13 409 0.7× 160 0.7× 160 0.7× 43 0.2× 384 2.3× 19 685
Davoud Mirzaei Iran 21 655 1.2× 481 2.0× 89 0.4× 410 2.2× 66 0.4× 35 1.6k
П. Н. Вабищевич Russia 10 259 0.5× 185 0.8× 173 0.7× 32 0.2× 32 0.2× 62 626
Danping Yang China 18 617 1.1× 482 2.0× 249 1.1× 297 1.6× 31 0.2× 88 1.0k

Countries citing papers authored by Abner J. Salgado

Since Specialization
Citations

This map shows the geographic impact of Abner J. Salgado's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Abner J. Salgado with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Abner J. Salgado more than expected).

Fields of papers citing papers by Abner J. Salgado

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Abner J. Salgado. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Abner J. Salgado. The network helps show where Abner J. Salgado may publish in the future.

Co-authorship network of co-authors of Abner J. Salgado

This figure shows the co-authorship network connecting the top 25 collaborators of Abner J. Salgado. A scholar is included among the top collaborators of Abner J. Salgado based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Abner J. Salgado. Abner J. Salgado is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bukač, Martina, et al.. (2025). Analysis and finite element approximation of a diffuse interface approach to the Stokes–Biot coupling. IMA Journal of Numerical Analysis. 46(1). 454–499.
2.
Otárola, Enrique, et al.. (2024). The linear elasticity system under singular forces. Applied Mathematics Letters. 158. 109258–109258.
3.
Diening, Lars, et al.. (2024). Pointwise Gradient Estimate of the Ritz Projection. SIAM Journal on Numerical Analysis. 62(3). 1212–1225.
4.
Mengesha, Tadele, et al.. (2023). On the Optimal Control of a Linear Peridynamics Model. Applied Mathematics & Optimization. 88(3). 1 indexed citations
5.
Li, Wenbo & Abner J. Salgado. (2023). Time fractional gradient flows: Theory and numerics. Mathematical Models and Methods in Applied Sciences. 33(2). 377–453. 5 indexed citations
6.
Salgado, Abner J., et al.. (2023). Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes. Communications in Computational Physics. 33(2). 367–398. 4 indexed citations
7.
Otárola, Enrique & Abner J. Salgado. (2022). On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra. Numerische Mathematik. 151(1). 185–218. 6 indexed citations
8.
Salgado, Abner J. & Steven M. Wise. (2022). Classical Numerical Analysis. Cambridge University Press eBooks. 3 indexed citations
9.
Guzmán, Johnny & Abner J. Salgado. (2021). Estimation of the continuity constants for Bogovskiĭ and regularized Poincaré integral operators. Journal of Mathematical Analysis and Applications. 502(1). 125246–125246. 3 indexed citations
10.
Otárola, Enrique & Abner J. Salgado. (2019). A weighted setting for the stationary Navier Stokes equations under singular forcing. Applied Mathematics Letters. 99. 105933–105933. 5 indexed citations
11.
Otárola, Enrique, et al.. (2019). Maximum–norm a posteriori error estimates for an optimal control problem. Computational Optimization and Applications. 73(3). 997–1017. 3 indexed citations
12.
Otárola, Enrique & Abner J. Salgado. (2018). The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing. Journal of Mathematical Analysis and Applications. 471(1-2). 599–612. 9 indexed citations
13.
Neilan, Michael, Abner J. Salgado, & Wujun Zhang. (2017). Numerical analysis of strongly nonlinear PDEs. Acta Numerica. 26. 137–303. 39 indexed citations
14.
Chen, Long, Ricardo H. Nochetto, Enrique Otárola, & Abner J. Salgado. (2015). Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Mathematics of Computation. 85(302). 2583–2607. 21 indexed citations
15.
Ervin, Vincent J., et al.. (2015). Generalized Newtonian fluid flow through a porous medium. Journal of Mathematical Analysis and Applications. 433(1). 603–621. 9 indexed citations
16.
Nochetto, Ricardo H., Abner J. Salgado, & Shawn W. Walker. (2013). A DIFFUSE INTERFACE MODEL FOR ELECTROWETTING WITH MOVING CONTACT LINES. Mathematical Models and Methods in Applied Sciences. 24(1). 67–111. 43 indexed citations
17.
Salgado, Abner J.. (2012). A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines. ESAIM Mathematical Modelling and Numerical Analysis. 47(3). 743–769. 20 indexed citations
18.
Guzmán, Johnny, Abner J. Salgado, & Francisco‐Javier Sayas. (2012). A Note on the Ladyženskaja-Babuška-Brezzi Condition. Journal of Scientific Computing. 56(2). 219–229. 12 indexed citations
19.
Guermond, Jean‐Luc & Abner J. Salgado. (2010). A note on the Stokes operator and its powers. Journal of Applied Mathematics and Computing. 36(1-2). 241–250. 6 indexed citations
20.
Guermond, Jean‐Luc & Abner J. Salgado. (2008). A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Comptes Rendus Mathématique. 346(15-16). 913–918. 15 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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