Erik Burman

8.5k total citations · 1 hit paper
174 papers, 5.7k citations indexed

About

Erik Burman is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mechanics of Materials. According to data from OpenAlex, Erik Burman has authored 174 papers receiving a total of 5.7k indexed citations (citations by other indexed papers that have themselves been cited), including 162 papers in Computational Mechanics, 72 papers in Computational Theory and Mathematics and 58 papers in Mechanics of Materials. Recurrent topics in Erik Burman's work include Advanced Numerical Methods in Computational Mathematics (151 papers), Advanced Mathematical Modeling in Engineering (66 papers) and Computational Fluid Dynamics and Aerodynamics (58 papers). Erik Burman is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (151 papers), Advanced Mathematical Modeling in Engineering (66 papers) and Computational Fluid Dynamics and Aerodynamics (58 papers). Erik Burman collaborates with scholars based in United Kingdom, France and Sweden. Erik Burman's co-authors include Peter Hansbo, Alexandre Ern, Mats G. Larson, Miguel Á. Fernández, Malte Braack, Miguel A. Fernández, André Massing, Susanne Claus, Nicola Parolini and Dmitri Kuzmin and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Computational Physics and Global Change Biology.

In The Last Decade

Erik Burman

165 papers receiving 5.3k 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.

CutFEM: Discretizing geometry and partial differential equations

2014 473 citations Erik Burman, Susanne Claus et al. International Journal for Numerical Methods in Engineering profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Erik Burman United Kingdom	37	5.1k	2.0k	1.8k	959	888	174	5.7k
Leszek Demkowicz United States	40	4.1k 0.8×	2.4k 1.2×	1.3k 0.7×	645 0.7×	2.2k 2.5×	188	5.7k
Mats G. Larson Sweden	31	3.4k 0.7×	2.1k 1.0×	1.3k 0.7×	389 0.4×	777 0.9×	123	4.1k
A. Russo Italy	34	4.9k 1.0×	3.0k 1.5×	2.1k 1.1×	714 0.7×	1.4k 1.6×	113	5.7k
Peter Hansbo Sweden	38	5.9k 1.2×	3.7k 1.8×	2.1k 1.1×	690 0.7×	1.2k 1.4×	132	7.1k
Carsten Carstensen Germany	42	4.3k 0.9×	3.2k 1.6×	2.4k 1.3×	691 0.7×	1.5k 1.6×	261	5.7k
Richard S. Falk United States	33	3.7k 0.7×	2.3k 1.2×	2.6k 1.4×	772 0.8×	943 1.1×	79	5.2k
Ramón Codina Spain	46	6.1k 1.2×	2.0k 1.0×	1.8k 1.0×	814 0.8×	683 0.8×	209	7.3k
Joachim Schöberl Austria	28	2.1k 0.4×	1.2k 0.6×	935 0.5×	368 0.4×	1.0k 1.1×	113	3.8k
Leopoldo P. Franca United States	26	5.8k 1.1×	2.3k 1.2×	1.9k 1.0×	865 0.9×	1.1k 1.2×	54	6.6k
Daniele Boffi Italy	25	2.8k 0.6×	1.5k 0.7×	1.1k 0.6×	311 0.3×	899 1.0×	97	3.4k

Countries citing papers authored by Erik Burman

Since Specialization

Citations

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

Fields of papers citing papers by Erik Burman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Erik Burman

This figure shows the co-authorship network connecting the top 25 collaborators of Erik Burman. A scholar is included among the top collaborators of Erik Burman 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 Erik Burman. Erik Burman 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, Peter Hansbo, & Mats G. Larson. (2025). Hybridized augmented Lagrangian methods for contact problems. Computer Methods in Applied Mechanics and Engineering. 445. 118175–118175.

Burman, Erik, Peter Hansbo, Mats G. Larson, & Sara Zahedi. (2025). Cut finite element methods. Acta Numerica. 34. 1–121.

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.

Burman, Erik, et al.. (2025). Unique continuation for the wave equation based on a discontinuous Galerkin time discretization. IMA Journal of Numerical Analysis.

Burman, Erik & Lauri Oksanen. (2024). Finite element approximation of unique continuation of functions with finite dimensional trace. Mathematical Models and Methods in Applied Sciences. 34(10). 1809–1824. 2 indexed citations

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

Burman, Erik, et al.. (2023). Unique continuation for the Lamé system using stabilized finite element methods. GEM - International Journal on Geomathematics. 14(1). 1 indexed citations

Burman, Erik, et al.. (2023). Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation. ESAIM. Mathematical modelling and numerical analysis. 58(1). 223–245. 2 indexed citations

Burman, Erik, J. J. J. Gillissen, & Lauri Oksanen. (2023). Stability estimate for scalar image velocimetry. Journal of Inverse and Ill-Posed Problems. 31(6). 811–822.

10.

Moura, Rodrigo C., et al.. (2021). Gradient jump penalty stabilisation of spectral/hp element discretisation for under-resolved turbulence simulations. Computer Methods in Applied Mechanics and Engineering. 388. 114200–114200. 18 indexed citations

11.

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

12.

Barrenechea, Gabriel R., et al.. (2017). Blending low-order stabilised finite element methods: A positivity-preserving local projection method for the convection–diffusion equation. Computer Methods in Applied Mechanics and Engineering. 317. 1169–1193. 13 indexed citations

13.

Burman, Erik, Peter Hansbo, Mats G. Larson, André Massing, & Sara Zahedi. (2016). Full gradient stabilized cut finite element methods for surface partial differential equations. Computer Methods in Applied Mechanics and Engineering. 310. 278–296. 19 indexed citations

14.

Burman, Erik. (2015). A monotonicity preserving, nonlinear, finite element upwind method for the transport equation. Applied Mathematics Letters. 49. 141–146. 11 indexed citations

15.

Burman, Erik, Susanne Claus, Peter Hansbo, Mats G. Larson, & André Massing. (2014). CutFEM: Discretizing geometry and partial differential equations. International Journal for Numerical Methods in Engineering. 104(7). 472–501. 473 indexed citations breakdown →

16.

Burman, Erik. (2014). Error estimates for stabilized finite element methods applied to ill-posed problems. Comptes Rendus Mathématique. 352(7-8). 655–659. 22 indexed citations

17.

Becker, Roland, Erik Burman, & Peter Hansbo. (2011). A finite element time relaxation method. Comptes Rendus Mathématique. 349(5-6). 353–356. 6 indexed citations

18.

Burman, Erik & Benjamin Stamm. (2009). Local discontinuous Galerkin method for diffusion equations with reduced stabilization. Communications in Computational Physics. 5. 498–514. 9 indexed citations

19.

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

20.

Burman, Erik & Peter Hansbo. (2006). A unified stabilized method for Stokes’ and Darcy's equations. Journal of Computational and Applied Mathematics. 198(1). 35–51. 138 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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