Alexandre Ern

11.3k total citations · 3 hit papers
199 papers, 7.4k citations indexed

About

Alexandre Ern is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mechanics of Materials. According to data from OpenAlex, Alexandre Ern has authored 199 papers receiving a total of 7.4k indexed citations (citations by other indexed papers that have themselves been cited), including 161 papers in Computational Mechanics, 70 papers in Computational Theory and Mathematics and 51 papers in Mechanics of Materials. Recurrent topics in Alexandre Ern's work include Advanced Numerical Methods in Computational Mathematics (125 papers), Computational Fluid Dynamics and Aerodynamics (59 papers) and Advanced Mathematical Modeling in Engineering (57 papers). Alexandre Ern is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (125 papers), Computational Fluid Dynamics and Aerodynamics (59 papers) and Advanced Mathematical Modeling in Engineering (57 papers). Alexandre Ern collaborates with scholars based in France, United States and United Kingdom. Alexandre Ern's co-authors include Jean‐Luc Guermond, Daniele A. Di Pietro, Vincent Giovangigli∥, Erik Burman, Martin Vohralı́k, Annette F. Stephansen, Mitchell D. Smooke, Simon Lemaire, Serge Piperno and Malte Braack and has published in prestigious journals such as Journal of Computational Physics, Global Change Biology and Journal of Hydrology.

In The Last Decade

Alexandre Ern

194 papers receiving 6.9k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Theory and Practice of Finite Elements

2004 1.4k citations Alexandre Ern, Jean‐Luc Guermond profile →
Mathematical Aspects of Discontinuous Galerkin Methods

2011 652 citations Alexandre Ern et al. profile →
A hybrid high-order locking-free method for linear elasticity on general meshes

2014 234 citations Alexandre Ern et al. Computer Methods in Applied Mechanics and Engineering profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Alexandre Ern France	40	6.0k	2.4k	2.2k	1.4k	1.2k	199	7.4k
Jean‐Luc Guermond United States	40	6.2k 1.0×	1.5k 0.6×	1.2k 0.5×	1.2k 0.9×	830 0.7×	167	7.6k
Endre Süli United Kingdom	42	3.8k 0.6×	1.7k 0.7×	1.5k 0.7×	1.3k 1.0×	949 0.8×	169	5.8k
Rolf Rannacher Germany	38	7.0k 1.2×	3.1k 1.3×	2.5k 1.1×	2.4k 1.8×	1.2k 1.0×	109	9.2k
Vivette Girault France	34	9.5k 1.6×	4.7k 2.0×	3.6k 1.6×	1.5k 1.1×	2.0k 1.7×	101	11.4k
Susanne C. Brenner United States	34	8.6k 1.4×	4.5k 1.9×	4.9k 2.2×	1.9k 1.4×	2.4k 2.1×	129	10.6k
Graham F. Carey United States	41	4.2k 0.7×	1.0k 0.4×	1.7k 0.7×	984 0.7×	944 0.8×	298	6.8k
Olivier Pironneau France	36	4.3k 0.7×	1.7k 0.7×	1.1k 0.5×	692 0.5×	367 0.3×	153	6.1k
Ricardo H. Nochetto United States	37	3.9k 0.7×	2.3k 1.0×	1.7k 0.8×	1.0k 0.8×	926 0.8×	170	5.1k
Alberto Valli Italy	19	3.2k 0.5×	1.5k 0.6×	1.3k 0.6×	1.0k 0.8×	926 0.8×	59	5.1k
Thomas A. Zang United States	27	4.5k 0.8×	907 0.4×	874 0.4×	1.9k 1.4×	600 0.5×	67	8.9k

Countries citing papers authored by Alexandre Ern

Since Specialization

Citations

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

Fields of papers citing papers by Alexandre Ern

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexandre Ern

This figure shows the co-authorship network connecting the top 25 collaborators of Alexandre Ern. A scholar is included among the top collaborators of Alexandre Ern 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 Alexandre Ern. Alexandre Ern is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Burman, Erik, et al.. (2025). A stabilized hybridized Nitsche method for sign-changing elliptic PDEs. Mathematical Models and Methods in Applied Sciences. 35(14). 2977–3009.

Ern, Alexandre, et al.. (2023). Time-explicit hybrid high-order method for the nonlinear acoustic wave equation. ESAIM. Mathematical modelling and numerical analysis. 57(5). 2977–3006. 3 indexed citations

Ern, Alexandre, et al.. (2021). Artificial compressibility methods for the incompressible Navier-Stokes\n equations using lowest-order face-based schemes on polytopal meshes. arXiv (Cornell University). 2 indexed citations

Burman, Erik & Alexandre Ern. (2019). A cut cell hybrid high-order method for elliptic problems with curved boundaries. UCL Discovery (University College London). 1 indexed citations

Ern, Alexandre, et al.. (2018). A Hybrid High-Order method for incremental associative plasticity with small deformations. Computer Methods in Applied Mechanics and Engineering. 346. 891–912. 16 indexed citations

Ern, Alexandre, et al.. (2018). An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor. Computers & Mathematics with Applications. 76(5). 967–983. 17 indexed citations

Ern, Alexandre, et al.. (2018). Hybrid High-Order methods for finite deformations of hyperelastic materials. HAL (Le Centre pour la Communication Scientifique Directe). 18 indexed citations

Burman, Erik & Alexandre Ern. (2017). An unfitted Hybrid High-Order method for elliptic interface problems. HAL (Le Centre pour la Communication Scientifique Directe). 51 indexed citations

Ern, Alexandre, et al.. (2015). Variants of the Empirical Interpolation Method: Symmetric formulation, choice of norms and rectangular extension. Applied Mathematics Letters. 56. 23–28. 1 indexed citations

10.

Maı̂tre, Olivier Le, et al.. (2010). Roe solver with entropy corrector for uncertain hyperbolic systems. Journal of Computational and Applied Mathematics. 235(2). 491–506. 19 indexed citations

11.

Achchab, Boujemâa, et al.. (2009). A posteriori error estimates for subgrid viscosity stabilized approximations of convection–diffusion equations. Applied Mathematics Letters. 22(9). 1418–1424. 6 indexed citations

12.

Ern, Alexandre, Annette F. Stephansen, & Martin Vohralı́k. (2009). Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems. Journal of Computational and Applied Mathematics. 234(1). 114–130. 78 indexed citations

13.

Burman, Erik, Alexandre Ern, Igor Mozolevski, & Benjamin Stamm. (2007). The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders pgreater-or-equal, slanted2. Global Change Biology. 19(4). 985–7. 2 indexed citations

14.

Ern, Alexandre & Tony Lelièvre. (2007). Adaptive models for polymeric fluid flow simulation. Comptes Rendus Mathématique. 344(7). 473–476. 4 indexed citations

15.

Ern, Alexandre, Serge Nicaise, & Martin Vohralı́k. (2007). An accurate H ( div ) flux reconstruction for discontinuous Galerkin approximations of elliptic problems. Comptes Rendus Mathématique. 345(12). 709–712. 61 indexed citations

16.

Ern, Alexandre. (2005). Aide-mémoire - Eléments finis. Dunod eBooks. 4 indexed citations

17.

Ern, Alexandre & Jennifer Proft. (2005). A posteriori discontinuous Galerkin error estimates for transient convection–diffusion equations. Applied Mathematics Letters. 18(7). 833–841. 31 indexed citations

18.

Ern, Alexandre, et al.. (2003). Une nouvelle méthode de relaxation pour les équations de Navier–Stokes compressibles. Comptes Rendus Mathématique. 336(3). 283–288. 1 indexed citations

19.

Ern, Alexandre & Jean‐Luc Guermond. (2002). Eléments finis : théorie, applications, mise en œuvre. Springer eBooks. 30 indexed citations

20.

Ern, Alexandre. (1994). Vorticity-velocity modeling of chemically reacting flows. 316. 115209–115209. 21 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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