Johnny Guzmán

2.5k total citations
61 papers, 1.6k citations indexed

About

Johnny Guzmán is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mechanics of Materials. According to data from OpenAlex, Johnny Guzmán has authored 61 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 57 papers in Computational Mechanics, 31 papers in Computational Theory and Mathematics and 20 papers in Mechanics of Materials. Recurrent topics in Johnny Guzmán's work include Advanced Numerical Methods in Computational Mathematics (54 papers), Advanced Mathematical Modeling in Engineering (28 papers) and Numerical methods in engineering (18 papers). Johnny Guzmán is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (54 papers), Advanced Mathematical Modeling in Engineering (28 papers) and Numerical methods in engineering (18 papers). Johnny Guzmán collaborates with scholars based in United States, United Kingdom and France. Johnny Guzmán's co-authors include Bernardo Cockburn, Michael Neilan, Bo Dong, Jay Gopalakrishnan, Haiying Wang, Dmitriy Leykekhman, M. Restelli, Riccardo Sacco, A. H. Schatz and Erik Burman and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Mathematics of Computation and SIAM Journal on Numerical Analysis.

In The Last Decade

Johnny Guzmán

57 papers receiving 1.5k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Johnny Guzmán United States 22 1.5k 579 572 393 367 61 1.6k
Willy Dörfler Germany 17 1.2k 0.8× 532 0.9× 569 1.0× 506 1.3× 225 0.6× 58 1.5k
Hongxing Rui China 21 1.3k 0.9× 442 0.8× 584 1.0× 198 0.5× 571 1.6× 155 1.7k
Kunibert G. Siebert Germany 20 1.7k 1.1× 863 1.5× 824 1.4× 485 1.2× 315 0.9× 34 1.9k
Li-yeng Sung United States 22 1.3k 0.9× 730 1.3× 809 1.4× 339 0.9× 210 0.6× 65 1.5k
Emmanuil H. Georgoulis United Kingdom 18 1.1k 0.7× 432 0.7× 544 1.0× 281 0.7× 247 0.7× 53 1.3k
Weifeng Qiu Hong Kong 19 912 0.6× 281 0.5× 426 0.7× 373 0.9× 204 0.6× 61 1.2k
Gerhard Starke Germany 20 717 0.5× 536 0.9× 413 0.7× 152 0.4× 236 0.6× 56 1.1k
Miloslav Feistauer Czechia 28 1.6k 1.1× 596 1.0× 379 0.7× 195 0.5× 607 1.7× 107 1.9k
Charalambos Makridakis Greece 17 891 0.6× 364 0.6× 234 0.4× 230 0.6× 519 1.4× 48 1.1k
Michael Neilan United States 20 1.0k 0.7× 515 0.9× 348 0.6× 136 0.3× 280 0.8× 63 1.3k

Countries citing papers authored by Johnny Guzmán

Since Specialization
Citations

This map shows the geographic impact of Johnny Guzmán'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 Johnny Guzmán with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Johnny Guzmán more than expected).

Fields of papers citing papers by Johnny Guzmán

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Johnny Guzmán. 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 Johnny Guzmán. The network helps show where Johnny Guzmán may publish in the future.

Co-authorship network of co-authors of Johnny Guzmán

This figure shows the co-authorship network connecting the top 25 collaborators of Johnny Guzmán. A scholar is included among the top collaborators of Johnny Guzmán 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 Johnny Guzmán. Johnny Guzmán 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.
Gopalakrishnan, Jay, et al.. (2025). The Johnson–Křížek–Mercier elasticity element in higher dimensions. Journal of Numerical Mathematics.
2.
Burman, Erik, et al.. (2024). A second-order correction method for loosely coupled discretizations applied to parabolic–parabolic interface problems. IMA Journal of Numerical Analysis. 45(5). 2628–2654. 2 indexed citations
3.
Burman, Erik, et al.. (2024). Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number. Mathematical Models and Methods in Applied Sciences. 34(14). 2709–2747. 1 indexed citations
4.
Gopalakrishnan, Jay, et al.. (2023). Discrete elasticity exact sequences on Worsey–Farin splits. ESAIM. Mathematical modelling and numerical analysis. 57(6). 3373–3402. 1 indexed citations
5.
Guzmán, Johnny, et al.. (2023). A Note on the Shape Regularity of Worsey–Farin Splits. Journal of Scientific Computing. 95(2). 3 indexed citations
6.
Barrenechea, Gabriel R., et al.. (2023). Continuous interior penalty stabilization for divergence-free finite element methods. IMA Journal of Numerical Analysis. 44(2). 980–1002. 4 indexed citations
7.
Burman, Erik, et al.. (2023). Implicit-Explicit Time Discretization for Oseen’s Equation at High Reynolds Number with Application to Fractional Step Methods. SIAM Journal on Numerical Analysis. 61(6). 2859–2886. 5 indexed citations
8.
Christiansen, Snorre H., Jay Gopalakrishnan, Johnny Guzmán, & Kaibo Hu. (2023). A discrete elasticity complex on three-dimensional Alfeld splits. Numerische Mathematik. 156(1). 159–204. 7 indexed citations
9.
Guzmán, Johnny, Anna Lischke, & Michael Neilan. (2022). Exact sequences on Worsey–Farin splits. Mathematics of Computation. 6 indexed citations
10.
Burman, Erik, R. Durst, Miguel Á. Fernández, & Johnny Guzmán. (2022). Loosely coupled, non-iterative time-splitting scheme based on Robin–Robin coupling: Unified analysis for parabolic/parabolic and parabolic/hyperbolic problems. Journal of Numerical Mathematics. 31(1). 59–77. 4 indexed citations
11.
Fu, Guosheng, Johnny Guzmán, & Michael Neilan. (2020). Exact smooth piecewise polynomial sequences on Alfeld splits. Mathematics of Computation. 89(323). 1059–1091. 27 indexed citations
12.
Guzmán, Johnny, Chi‐Wang Shu, & Filánder A. Sequeira. (2016). H(div) conforming and DG methods for incompressible Euler’s equations. IMA Journal of Numerical Analysis. drw054–drw054. 32 indexed citations
13.
Guzmán, Johnny & Caroline J. Klivans. (2014). Chip-firing and energy minimization on M-matrices. Journal of Combinatorial Theory Series A. 132. 14–31. 8 indexed citations
14.
Gudi, Thirupathi & Johnny Guzmán. (2013). Convergence analysis of the lowest order weakly penalized adaptive discontinuous Galerkin methods. ESAIM Mathematical Modelling and Numerical Analysis. 48(3). 753–764. 3 indexed citations
15.
Guzmán, Johnny & Dmitriy Leykekhman. (2012). Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra. Mathematics of Computation. 81(280). 1879–1902. 17 indexed citations
16.
Cockburn, Bernardo, Jay Gopalakrishnan, & Johnny Guzmán. (2010). A new elasticity element made for enforcing weak stress symmetry. Mathematics of Computation. 79(271). 1331–1349. 83 indexed citations
17.
Cockburn, Bernardo, Bo Dong, Johnny Guzmán, & Jianliang Qian. (2010). Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity. SIAM Journal on Numerical Analysis. 48(1). 133–146. 21 indexed citations
18.
Guzmán, Johnny, Dmitriy Leykekhman, J. Roßmann, & A. H. Schatz. (2009). Hölder estimates for Green’s functions on convex polyhedral domains and their applications to finite element methods. Numerische Mathematik. 112(2). 221–243. 39 indexed citations
19.
Cockburn, Bernardo, Bo Dong, & Johnny Guzmán. (2008). Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes. SIAM Journal on Numerical Analysis. 46(3). 1250–1265. 66 indexed citations
20.
Cockburn, Bernardo, Johnny Guzmán, & Haiying Wang. (2008). Superconvergent discontinuous Galerkin methods for second-order elliptic problems. Mathematics of Computation. 78(265). 1–1. 139 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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