Axel Klawonn

3.5k total citations
86 papers, 2.0k citations indexed

About

Axel Klawonn is a scholar working on Computational Mechanics, Mechanics of Materials and Computational Theory and Mathematics. According to data from OpenAlex, Axel Klawonn has authored 86 papers receiving a total of 2.0k indexed citations (citations by other indexed papers that have themselves been cited), including 68 papers in Computational Mechanics, 40 papers in Mechanics of Materials and 34 papers in Computational Theory and Mathematics. Recurrent topics in Axel Klawonn's work include Advanced Numerical Methods in Computational Mathematics (65 papers), Numerical methods in engineering (35 papers) and Electromagnetic Simulation and Numerical Methods (23 papers). Axel Klawonn is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (65 papers), Numerical methods in engineering (35 papers) and Electromagnetic Simulation and Numerical Methods (23 papers). Axel Klawonn collaborates with scholars based in Germany, United States and Italy. Axel Klawonn's co-authors include Oliver Rheinbach, Olof B. Widlund, Martin Lanser, Alexander Heinlein, Luca F. Pavarino, Maksymilian Dryja, Gerhard Starke, Jörg Schröder, Clark R. Dohrmann and Andrea Toselli and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and International Journal for Numerical Methods in Engineering.

In The Last Decade

Axel Klawonn

83 papers receiving 1.6k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Axel Klawonn Germany 25 1.6k 1.1k 813 579 289 86 2.0k
Ronald H. W. Hoppe Germany 22 1.2k 0.8× 675 0.6× 644 0.8× 498 0.9× 109 0.4× 112 1.7k
Manil Suri United States 23 2.0k 1.2× 880 0.8× 1.4k 1.8× 571 1.0× 133 0.5× 56 2.5k
Ulrich Langer Austria 22 912 0.6× 529 0.5× 538 0.7× 404 0.7× 250 0.9× 107 1.5k
Oliver Rheinbach Germany 19 689 0.4× 451 0.4× 392 0.5× 252 0.4× 81 0.3× 56 927
W. Rachowicz Poland 18 1.5k 0.9× 370 0.4× 949 1.2× 705 1.2× 272 0.9× 48 2.0k
Andrea Cangiani United Kingdom 18 1.8k 1.1× 705 0.7× 1.1k 1.4× 584 1.0× 59 0.2× 38 2.1k
Christian Wieners Germany 18 517 0.3× 306 0.3× 404 0.5× 189 0.3× 72 0.2× 67 1.1k
Kendall Pierson United States 8 612 0.4× 297 0.3× 432 0.5× 312 0.5× 131 0.5× 13 891
Simone Scacchi Italy 19 646 0.4× 359 0.3× 328 0.4× 172 0.3× 50 0.2× 73 1.2k
Sören Bartels Germany 21 977 0.6× 592 0.6× 469 0.6× 241 0.4× 96 0.3× 83 1.5k

Countries citing papers authored by Axel Klawonn

Since Specialization
Citations

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

Fields of papers citing papers by Axel Klawonn

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Axel Klawonn

This figure shows the co-authorship network connecting the top 25 collaborators of Axel Klawonn. A scholar is included among the top collaborators of Axel Klawonn 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 Axel Klawonn. Axel Klawonn 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.
2.
Klawonn, Axel, et al.. (2024). Machine learning and domain decomposition methods - a survey. 1(1). 10 indexed citations
3.
Klawonn, Axel, et al.. (2024). A Domain Decomposition–Based CNN-DNN Architecture for Model Parallel Training Applied to Image Recognition Problems. SIAM Journal on Scientific Computing. 46(5). C557–C582. 1 indexed citations
4.
5.
Balzani, Daniel, Alexander Heinlein, Axel Klawonn, Oliver Rheinbach, & Jörg Schröder. (2023). Comparison of arterial wall models in fluid–structure interaction simulations. Computational Mechanics. 72(5). 949–965. 8 indexed citations
6.
Brenner, Susanne C., Eric T. Chung, Axel Klawonn, et al.. (2022). Domain Decomposition Methods in Science and Engineering XXVI. 16 indexed citations
7.
Heinlein, Alexander, et al.. (2022). Adaptive GDSW Coarse Spaces of Reduced Dimension for Overlapping Schwarz Methods. SIAM Journal on Scientific Computing. 44(3). A1176–A1204. 8 indexed citations
8.
Benner, Peter, Axel Klawonn, & Martin Stoll. (2021). Topical issue scientific machine learning (2/2). GAMM-Mitteilungen. 44(2). 1 indexed citations
9.
Klawonn, Axel, et al.. (2020). Coarse spaces for FETI-DP and BDDC Methods for heterogeneous problems: connections of deflation and a generalized transformation-of-basis approach. ETNA - Electronic Transactions on Numerical Analysis. 52. 43–76. 4 indexed citations
10.
Heinlein, Alexander, et al.. (2020). A frugal FETI-DP and BDDC coarse space for heterogeneous problems. ETNA - Electronic Transactions on Numerical Analysis. 53. 562–591. 8 indexed citations
11.
Klawonn, Axel, et al.. (2019). Preconditioning the coarse problem of BDDC methods ‐ three-level, algebraic multigrid, and vertex-based preconditioners. ETNA - Electronic Transactions on Numerical Analysis. 51. 432–450. 2 indexed citations
12.
Heinlein, Alexander, et al.. (2019). Reduced dimension GDSW coarse spaces for monolithic Schwarz domain decomposition methods for incompressible fluid flow problems. International Journal for Numerical Methods in Engineering. 121(6). 1101–1119. 10 indexed citations
13.
Heinlein, Alexander, Ulrich Hetmaniuk, Axel Klawonn, & Oliver Rheinbach. (2015). The approximate component mode synthesis special finite element method in two dimensions: Parallel implementation and numerical results. Journal of Computational and Applied Mathematics. 289. 116–133. 11 indexed citations
14.
Klawonn, Axel & Oliver Rheinbach. (2012). Deflation, Projector Preconditioning, and Balancing in Iterative Substructuring Methods: Connections and New Results. SIAM Journal on Scientific Computing. 34(1). A459–A484. 24 indexed citations
15.
Dohrmann, Clark R., Axel Klawonn, & Olof B. Widlund. (2008). Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions. SIAM Journal on Numerical Analysis. 46(4). 2153–2168. 57 indexed citations
16.
Klawonn, Axel & Oliver Rheinbach. (2006). A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis. SIAM Journal on Scientific Computing. 28(5). 1886–1906. 53 indexed citations
17.
Klawonn, Axel & Gerhard Starke. (2004). A preconditioner for the equations of linear elasticity discretized by the PEERS element. Numerical Linear Algebra with Applications. 11(5-6). 493–510. 4 indexed citations
18.
Klawonn, Axel & Olof B. Widlund. (2000). FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Communications on Pure and Applied Mathematics. 54(1). 57–90. 132 indexed citations
19.
Klawonn, Axel, et al.. (1998). A Numerical Study of a Class of FETI Preconditioners for Mortar Finite Elements in Two Dimensions. 2 indexed citations
20.
Klawonn, Axel & Luca F. Pavarino. (1998). Overlapping Schwarz methods for mixed linear elasticity and Stokes problems. Computer Methods in Applied Mechanics and Engineering. 165(1-4). 233–245. 59 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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