Carsten Carstensen

8.7k total citations
261 papers, 5.7k citations indexed

About

Carsten Carstensen is a scholar working on Computational Mechanics, Mechanics of Materials and Computational Theory and Mathematics. According to data from OpenAlex, Carsten Carstensen has authored 261 papers receiving a total of 5.7k indexed citations (citations by other indexed papers that have themselves been cited), including 211 papers in Computational Mechanics, 155 papers in Mechanics of Materials and 112 papers in Computational Theory and Mathematics. Recurrent topics in Carsten Carstensen's work include Advanced Numerical Methods in Computational Mathematics (206 papers), Numerical methods in engineering (128 papers) and Advanced Mathematical Modeling in Engineering (86 papers). Carsten Carstensen is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (206 papers), Numerical methods in engineering (128 papers) and Advanced Mathematical Modeling in Engineering (86 papers). Carsten Carstensen collaborates with scholars based in Germany, Austria and South Korea. Carsten Carstensen's co-authors include Stefan A. Funken, Sören Bartels, Ernst P. Stephan, Klaus Hackl, Joscha Gedicke, Dirk Praetorius, Jun Hu, Alexander Mielke, Ronald H. W. Hoppe and Georg Dolzmann and has published in prestigious journals such as SHILAP Revista de lepidopterología, Materials Science and Engineering A and Computer Methods in Applied Mechanics and Engineering.

In The Last Decade

Carsten Carstensen

254 papers receiving 5.1k citations

Peers

Carsten Carstensen
Ricardo H. Nochetto United States
Erik Burman United Kingdom
Richard S. Falk United States
Leszek Demkowicz United States
Pavel Bochev United States
Carsten Carstensen
Citations per year, relative to Carsten Carstensen Carsten Carstensen (= 1×) peers Peter Hansbo

Countries citing papers authored by Carsten Carstensen

Since Specialization
Citations

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

Fields of papers citing papers by Carsten Carstensen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Carsten Carstensen

This figure shows the co-authorship network connecting the top 25 collaborators of Carsten Carstensen. A scholar is included among the top collaborators of Carsten Carstensen 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 Carsten Carstensen. Carsten Carstensen 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.
Carstensen, Carsten, et al.. (2024). Comparison of guaranteed lower eigenvalue bounds with three skeletal schemes. Computer Methods in Applied Mechanics and Engineering. 433. 117477–117477.
2.
Carstensen, Carsten, et al.. (2024). Rate-optimal higher-order adaptive conforming FEM for biharmonic eigenvalue problems on polygonal domains. Computer Methods in Applied Mechanics and Engineering. 425. 116931–116931. 1 indexed citations
3.
Carstensen, Carsten, et al.. (2023). Stabilization-free HHO a posteriori error control. Numerische Mathematik. 154(3-4). 369–408. 3 indexed citations
4.
Carstensen, Carsten, et al.. (2023). Unified a priori analysis of four second-order FEM for fourth-order quadratic semilinear problems. Numerische Mathematik. 154(3-4). 323–368. 2 indexed citations
5.
Carstensen, Carsten & Stefan Sauter. (2022). Crouzeix-Raviart triangular elements are inf-sup stable. Mathematics of Computation. 91(337). 2041–2057. 4 indexed citations
6.
Allix, Olivier, Annalisa Buffa, Carsten Carstensen, & Jörg Schröder. (2019). Computational Engineering. Oberwolfach Reports. 15(4). 2859–2913. 1 indexed citations
7.
Brenner, Susanne C., Carsten Carstensen, Leszek Demkowicz, & Peter Wriggers. (2016). Computational Engineering. Oberwolfach Reports. 12(3). 2533–2592. 1 indexed citations
8.
Carstensen, Carsten, Leszek Demkowicz, & Jay Gopalakrishnan. (2016). Breaking spaces and forms for the DPG method and applications including Maxwell equations. Computers & Mathematics with Applications. 72(3). 494–522. 87 indexed citations
9.
Carstensen, Carsten & Christian Merdon. (2014). Computational Survey on A Posteriori Error Estimators for the Crouzeix–Raviart Nonconforming Finite Element Method for the Stokes Problem. Computational Methods in Applied Mathematics. 14(1). 35–54. 8 indexed citations
10.
Carstensen, Carsten, et al.. (2014). Low-order dPG-FEM for an elliptic PDE. Computers & Mathematics with Applications. 68(11). 1503–1512. 15 indexed citations
11.
Allix, Olivier, Carsten Carstensen, Jörg Schröder, & Peter Wriggers. (2012). Advanced Computational Engineering. Oberwolfach Reports. 9(1). 457–553. 2 indexed citations
12.
Balzani, Daniel, Dominik Brands, Jörg Schröder, & Carsten Carstensen. (2009). Sensitivity analysis of statistical measures for the reconstruction of microstructures based on the minimization of generalized least-square functionals. 30(4). 297–315. 11 indexed citations
13.
Braess, Dietrich, Carsten Carstensen, & Ronald H. W. Hoppe. (2009). ERROR REDUCTION IN ADAPTIVE FINITE ELEMENT APPROXIMATIONS OF ELLIPTIC OBSTACLE PROBLEMS. Journal of Computational Mathematics. 27. 13 indexed citations
14.
Carstensen, Carsten & Jun Hu. (2009). Hanging nodes in the unifying theory of a posteriori finite element error control. Journal of Computational Mathematics. 27. 16 indexed citations
15.
Bartels, Sören, et al.. (2005). P2Q2Iso2D=2D Isoparametric FEM in Matlab. Journal of Computational and Applied Mathematics. 192(2). 219–250. 9 indexed citations
16.
Carstensen, Carsten, et al.. (1997). Numerical solution of the scalar double-well problem allowing microstructure. Mathematics of Computation. 66(219). 997–1026. 65 indexed citations
17.
Carstensen, Carsten, et al.. (1996). On the h-adaptive coupling of FE and BE for viscoplastic and elasto-plastic interface problems. Journal of Computational and Applied Mathematics. 75(2). 345–363. 10 indexed citations
18.
Carstensen, Carsten & Ernst P. Stephan. (1995). A posteriori error estimates for boundary element methods. Mathematics of Computation. 64(210). 483–500. 44 indexed citations
19.
Carstensen, Carsten & Ernst P. Stephan. (1995). A Posteriori Error Estimates for Boundary Element Methods. Mathematics of Computation. 64(210). 483–483. 49 indexed citations
20.
Carstensen, Carsten & Tetsuya Sakurai. (1995). Simultaneous factorization of a polynomial by rational approximation. Journal of Computational and Applied Mathematics. 61(2). 165–178. 5 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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