Dietrich Braess

7.5k total citations · 3 hit papers
118 papers, 4.8k citations indexed

About

Dietrich Braess is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mechanics of Materials. According to data from OpenAlex, Dietrich Braess has authored 118 papers receiving a total of 4.8k indexed citations (citations by other indexed papers that have themselves been cited), including 62 papers in Computational Mechanics, 32 papers in Computational Theory and Mathematics and 25 papers in Mechanics of Materials. Recurrent topics in Dietrich Braess's work include Advanced Numerical Methods in Computational Mathematics (40 papers), Numerical methods in engineering (19 papers) and Advanced Numerical Analysis Techniques (18 papers). Dietrich Braess is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (40 papers), Numerical methods in engineering (19 papers) and Advanced Numerical Analysis Techniques (18 papers). Dietrich Braess collaborates with scholars based in Germany, United States and Austria. Dietrich Braess's co-authors include Anna Nagurney, Tina Wakolbinger, Wolfgang Hackbusch, Joachim Schöberl, R. Verfürth, Wolfgang Dahmen, Ronald H. W. Hoppe, Carsten Carstensen, Larry L. Schumaker and Christian Wieners and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Mathematics of Computation.

In The Last Decade

Dietrich Braess

114 papers receiving 4.1k citations

Hit Papers

Finite Elements: Theory, Fast Solvers, ... 1968 2026 1987 2006 1999 1968 2007 100 200 300 400 500
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.

  1. Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics
    1999 599 citations Dietrich Braess Computing in Science & Engineering profile →
  2. Über ein Paradoxon aus der Verkehrsplanung
    1968 558 citations Dietrich Braess profile →
  3. Finite Elements
    2007 338 citations Dietrich Braess profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Dietrich Braess Germany 32 2.5k 1.4k 1.3k 724 695 118 4.8k
E. Polak United States 41 1.3k 0.5× 3.3k 2.3× 365 0.3× 572 0.8× 3.1k 4.5× 210 9.3k
Vipin Kumar United States 40 2.0k 0.8× 1.9k 1.3× 351 0.3× 3.7k 5.1× 352 0.5× 137 12.3k
David Kinderlehrer United States 33 944 0.4× 3.2k 2.2× 1.2k 0.9× 141 0.2× 789 1.1× 117 6.6k
L. V. Kantorovich Russia 12 611 0.2× 896 0.6× 927 0.7× 318 0.4× 861 1.2× 56 4.6k
William W. Hager United States 49 3.0k 1.2× 3.2k 2.2× 507 0.4× 1.4k 2.0× 3.7k 5.3× 166 10.6k
Andrew R. Conn United States 33 1.7k 0.7× 3.5k 2.4× 279 0.2× 1.0k 1.4× 3.7k 5.3× 91 8.4k
Eugene Isaacson United States 14 1.5k 0.6× 818 0.6× 413 0.3× 453 0.6× 1.1k 1.5× 26 4.4k
Xiaojun Chen China 43 2.0k 0.8× 2.5k 1.7× 230 0.2× 211 0.3× 2.5k 3.6× 213 5.6k
B. T. Polyak Russia 25 1.9k 0.8× 2.2k 1.5× 150 0.1× 383 0.5× 2.4k 3.4× 87 6.7k
Claude Lemaréchal France 29 1.8k 0.7× 3.2k 2.3× 194 0.1× 688 1.0× 3.0k 4.4× 58 7.7k

Countries citing papers authored by Dietrich Braess

Since Specialization
Citations

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

Fields of papers citing papers by Dietrich Braess

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Dietrich Braess

This figure shows the co-authorship network connecting the top 25 collaborators of Dietrich Braess. A scholar is included among the top collaborators of Dietrich Braess 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 Dietrich Braess. Dietrich Braess 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.
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
2.
Braess, Dietrich & Joachim Schöberl. (2007). Equilibrated residual error estimator for edge elements. Mathematics of Computation. 77(262). 651–673. 130 indexed citations
3.
Braess, Dietrich & Holger Dette. (2004). The asymptotic minimax risk for the estimation of constrained binomial and multinomial probabilities. Econstor (Econstor). 6 indexed citations
4.
Braess, Dietrich & Thomas Sauer. (2004). Bernstein polynomials and learning theory. Journal of Approximation Theory. 128(2). 187–206. 31 indexed citations
5.
Braess, Dietrich & Christoph Schwab. (2000). Approximation on Simplices with Respect to Weighted Sobolev Norms. Journal of Approximation Theory. 103(2). 329–337. 25 indexed citations
6.
Braess, Dietrich. (1999). Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics. Computing in Science & Engineering. 1(2). 81–81. 599 indexed citations breakdown →
7.
Braess, Dietrich, et al.. (1998). Stability Estimates of the Mortar Finite Element Method for 3-Dimensional Problems. RWTH Publications (RWTH Aachen). 17 indexed citations
8.
Braess, Dietrich & Larry L. Schumaker. (1992). Numerical Methods in Approximation Theory, Vol. 9. Birkhäuser Basel eBooks. 20 indexed citations
9.
Braess, Dietrich. (1992). Finite Elemente : Theorie, schnelle Löser und Anwendungen in der Elastizitätstheorie. Springer eBooks. 39 indexed citations
10.
Braess, Dietrich & Larry L. Schumaker. (1992). Numerical methods in approximation theory. CERN Document Server (European Organization for Nuclear Research). 47 indexed citations
11.
Braess, Dietrich, Tomas Sauer, & Hans Ulrich Simon. (1991). How to achieve minimax expected Kullback– Leibler Distance from an unknown finite distribution. 3 indexed citations
12.
Braess, Dietrich, Wolfgang Hackbusch, & Ulrich Trottenberg. (1985). Advances in multi-grid methods : proceedings of the conference held in Oberwolfach, December 8 to 13, 1984. 2 indexed citations
13.
Braess, Dietrich. (1984). On the conjecture of Meinardus on rational approximation of e, II. Journal of Approximation Theory. 40(4). 375–379. 40 indexed citations
14.
Braess, Dietrich, et al.. (1980). Zur rationalen approximation von e− auf [0, ∞). Journal of Approximation Theory. 30(3). 169–172. 3 indexed citations
15.
Braess, Dietrich. (1976). On rational L2-approximation. Journal of Approximation Theory. 18(2). 136–151. 6 indexed citations
16.
Braess, Dietrich & H. Werner. (1974). Tschebyscheff-Approximation mit einer Klasse rationaler Splinefunktionen, II. Journal of Approximation Theory. 10(4). 379–399. 3 indexed citations
17.
Braess, Dietrich. (1974). Geometrical characterizations for nonlinear uniform approximation. Journal of Approximation Theory. 11(3). 260–274. 24 indexed citations
18.
Braess, Dietrich. (1973). Chebyshev approximation by exponentials on finite subsets. Mathematics of Computation. 27(122). 327–331. 5 indexed citations
19.
20.
Braess, Dietrich. (1970). Über die vorzeichenstruktur der Exponentialsummen. Journal of Approximation Theory. 3(1). 101–113. 10 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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