Michael Neilan

2.1k total citations
63 papers, 1.3k citations indexed

About

Michael Neilan is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mechanics of Materials. According to data from OpenAlex, Michael Neilan has authored 63 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 55 papers in Computational Mechanics, 23 papers in Computational Theory and Mathematics and 20 papers in Mechanics of Materials. Recurrent topics in Michael Neilan's work include Advanced Numerical Methods in Computational Mathematics (52 papers), Advanced Mathematical Modeling in Engineering (22 papers) and Numerical methods in engineering (19 papers). Michael Neilan is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (52 papers), Advanced Mathematical Modeling in Engineering (22 papers) and Numerical methods in engineering (19 papers). Michael Neilan collaborates with scholars based in United States, Germany and Italy. Michael Neilan's co-authors include Xiaobing Feng, Johnny Guzmán, Susanne C. Brenner, Richard S. Falk, Roland Glowinski, Thirupathi Gudi, Li-yeng Sung, Wujun Zhang, Alexander Linke and Abner J. Salgado 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

Michael Neilan

60 papers receiving 1.2k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael Neilan United States 20 1.0k 515 348 280 273 63 1.3k
Ricardo G. Durán Argentina 20 835 0.8× 554 1.1× 559 1.6× 172 0.6× 201 0.7× 47 1.2k
Li-yeng Sung United States 22 1.3k 1.2× 730 1.4× 809 2.3× 210 0.8× 80 0.3× 65 1.5k
J. Roßmann Germany 12 443 0.4× 710 1.4× 307 0.9× 136 0.5× 482 1.8× 29 1.1k
В А Кондратьев Russia 14 408 0.4× 1.1k 2.1× 539 1.5× 319 1.1× 815 3.0× 66 1.8k
Chérif Amrouche France 18 899 0.9× 915 1.8× 398 1.1× 89 0.3× 779 2.9× 91 1.8k
Walter Zulehner Austria 19 711 0.7× 564 1.1× 170 0.5× 259 0.9× 34 0.1× 43 1.0k
Johnny Guzmán United States 22 1.5k 1.4× 579 1.1× 572 1.6× 367 1.3× 50 0.2× 61 1.6k
Andrey Piatnitski Russia 22 703 0.7× 1.2k 2.3× 683 2.0× 99 0.4× 375 1.4× 113 1.5k
Amiya K. Pani India 23 1.0k 1.0× 420 0.8× 611 1.8× 783 2.8× 97 0.4× 124 1.7k
Pedro Morín Argentina 17 1.1k 1.1× 623 1.2× 542 1.6× 230 0.8× 54 0.2× 39 1.3k

Countries citing papers authored by Michael Neilan

Since Specialization
Citations

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

Fields of papers citing papers by Michael Neilan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Neilan

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Neilan. A scholar is included among the top collaborators of Michael Neilan 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 Michael Neilan. Michael Neilan 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.
Durst, R. & Michael Neilan. (2024). A General Degree Divergence-Free Finite Element Method for the Two-Dimensional Stokes Problem on Smooth Domains. Journal of Scientific Computing. 101(2).
2.
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
3.
Guzmán, Johnny, et al.. (2023). A Note on the Shape Regularity of Worsey–Farin Splits. Journal of Scientific Computing. 95(2). 3 indexed citations
4.
5.
Guzmán, Johnny, Anna Lischke, & Michael Neilan. (2022). Exact sequences on Worsey–Farin splits. Mathematics of Computation. 6 indexed citations
6.
Liu, Haoran, Michael Neilan, & Maxim A. Olshanskii. (2022). A cutFEM divergence–free discretization for the stokes problem. ESAIM. Mathematical modelling and numerical analysis. 57(1). 143–165. 4 indexed citations
7.
Linke, Alexander, Christian Merdon, & Michael Neilan. (2020). Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. ETNA - Electronic Transactions on Numerical Analysis. Oesterreichisches Musiklexikon online (Institut für kunst- und musikhistorische Forschungen der Österreichischen Akademie der Wissenschaften). 8 indexed citations
8.
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
9.
Neilan, Michael. (2020). The Stokes complex: A review of exactly divergence–free finite element pairs for incompressible flows. Contemporary mathematics - American Mathematical Society. 141–158. 10 indexed citations
10.
Neilan, Michael, et al.. (2016). Dual-mixed finite element methods for the stationary Boussinesq problem. Computers & Mathematics with Applications. 72(7). 1828–1850. 30 indexed citations
11.
Howell, Jason S., Michael Neilan, & Noel J. Walkington. (2016). A Dual–Mixed Finite Element Method for the Brinkman Problem. French digital mathematics library (Numdam). 2. 1–17. 8 indexed citations
12.
Feng, Xiaobing, Thomas Lewis, & Michael Neilan. (2015). Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations. Journal of Computational and Applied Mathematics. 299. 68–91. 15 indexed citations
13.
Neilan, Michael. (2014). Finite element methods for fully nonlinear second order PDEs based on a discrete Hessian with applications to the Monge–Ampère equation. Journal of Computational and Applied Mathematics. 263. 351–369. 17 indexed citations
14.
Feng, Xiaobing & Michael Neilan. (2014). Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method. Computers & Mathematics with Applications. 68(12). 2182–2204. 5 indexed citations
15.
16.
Guzmán, Johnny & Michael Neilan. (2013). Conforming and divergence-free Stokes elements in three dimensions. IMA Journal of Numerical Analysis. 34(4). 1489–1508. 70 indexed citations
17.
Brenner, Susanne C. & Michael Neilan. (2011). A $\mathcal{C}^0$ Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem. SIAM Journal on Numerical Analysis. 49(2). 869–892. 41 indexed citations
18.
Feng, Xiaobing, et al.. (2009). MIXED FINITE ELEMENT METHODS FOR THE FULLY NONLINEAR MONGE-AMPERE EQUATION BASED ON THE. 2 indexed citations
19.
Feng, Xiaobing & Michael Neilan. (2009). Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method. SIAM Journal on Numerical Analysis. 47(2). 1226–1250. 60 indexed citations
20.
Feng, Xiaobing & Michael Neilan. (2008). Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations. Journal of Scientific Computing. 38(1). 74–98. 69 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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