Gerhard Dziuk

4.3k total citations · 1 hit paper
48 papers, 2.4k citations indexed

About

Gerhard Dziuk is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Gerhard Dziuk has authored 48 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Computational Mechanics, 22 papers in Computational Theory and Mathematics and 15 papers in Applied Mathematics. Recurrent topics in Gerhard Dziuk's work include Advanced Mathematical Modeling in Engineering (21 papers), Advanced Numerical Methods in Computational Mathematics (16 papers) and Advanced Numerical Analysis Techniques (14 papers). Gerhard Dziuk is often cited by papers focused on Advanced Mathematical Modeling in Engineering (21 papers), Advanced Numerical Methods in Computational Mathematics (16 papers) and Advanced Numerical Analysis Techniques (14 papers). Gerhard Dziuk collaborates with scholars based in Germany, United Kingdom and Australia. Gerhard Dziuk's co-authors include Charles M. Elliott, Klaus Deckelnick, Alan Demlow, Ernst Kuwert, Reiner Schätzle, John Hutchinson, Martin Rumpf, U. Diewald, Ulrich Clarenz and Christian Heine and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Lecture notes in mathematics.

In The Last Decade

Gerhard Dziuk

48 papers receiving 2.2k citations

Hit Papers

Finite element methods for surface PDEs 2013 2026 2017 2021 2013 100 200 300
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 element methods for surface PDEs
    2013 354 citations Gerhard Dziuk, Charles M. Elliott Acta Numerica profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Gerhard Dziuk Germany 24 1.7k 776 400 361 268 48 2.4k
Noel J. Walkington United States 22 721 0.4× 477 0.6× 249 0.6× 258 0.7× 197 0.7× 85 1.5k
Weizhang Huang United States 32 2.4k 1.4× 616 0.8× 447 1.1× 334 0.9× 313 1.2× 108 3.3k
Klaus Deckelnick Germany 24 904 0.5× 586 0.8× 195 0.5× 446 1.2× 70 0.3× 65 1.4k
Guido Kanschat Germany 23 2.4k 1.4× 832 1.1× 798 2.0× 120 0.3× 94 0.4× 64 3.1k
Maxim A. Olshanskii United States 28 2.2k 1.3× 911 1.2× 403 1.0× 95 0.3× 56 0.2× 110 2.5k
Arnold Reusken Germany 29 2.0k 1.2× 762 1.0× 651 1.6× 52 0.1× 62 0.2× 100 2.4k
R. A. Nicolaides United States 27 1.6k 1.0× 765 1.0× 472 1.2× 97 0.3× 47 0.2× 70 2.2k
Michael Hinze Germany 26 1.8k 1.1× 1.2k 1.6× 361 0.9× 200 0.6× 21 0.1× 101 2.6k
Li‐Tien Cheng United States 20 1.0k 0.6× 221 0.3× 161 0.4× 51 0.1× 271 1.0× 42 1.9k
Ragnar Winther Norway 31 3.1k 1.8× 1.5k 1.9× 1.3k 3.2× 310 0.9× 98 0.4× 81 3.9k

Countries citing papers authored by Gerhard Dziuk

Since Specialization
Citations

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

Fields of papers citing papers by Gerhard Dziuk

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gerhard Dziuk

This figure shows the co-authorship network connecting the top 25 collaborators of Gerhard Dziuk. A scholar is included among the top collaborators of Gerhard Dziuk 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 Gerhard Dziuk. Gerhard Dziuk 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.
Dziuk, Gerhard & Charles M. Elliott. (2013). Finite element methods for surface PDEs. Acta Numerica. 22. 289–396. 354 indexed citations breakdown →
2.
Deckelnick, Klaus, Gerhard Dziuk, Charles M. Elliott, & Christian Heine. (2009). An h-narrow band finite-element method for elliptic equations on implicit surfaces. IMA Journal of Numerical Analysis. 30(2). 351–376. 58 indexed citations
3.
Deckelnick, Klaus & Gerhard Dziuk. (2008). Error analysis for the elastic flow of parametrized curves. Mathematics of Computation. 78(266). 645–671. 23 indexed citations
4.
Dziuk, Gerhard & Charles M. Elliott. (2007). SURFACE FINITE ELEMENTS FOR PARABOLIC EQUATIONS. Journal of Computational Mathematics. 25(4). 385. 118 indexed citations
5.
Demlow, Alan & Gerhard Dziuk. (2007). An Adaptive Finite Element Method for the Laplace–Beltrami Operator on Implicitly Defined Surfaces. SIAM Journal on Numerical Analysis. 45(1). 421–442. 105 indexed citations
6.
Deckelnick, Klaus, Gerhard Dziuk, & Charles M. Elliott. (2005). Computation of Geometric PDEs and Mean Curvature Flow. Figshare. 11(1). 121–4. 5 indexed citations
7.
Deckelnick, Klaus, Gerhard Dziuk, & Charles M. Elliott. (2005). Computation of geometric partial differential equations and mean curvature flow. Acta Numerica. 14. 139–232. 251 indexed citations
8.
Clarenz, Ulrich, et al.. (2004). A finite element method for surface restoration with smooth boundary conditions. Computer Aided Geometric Design. 21(5). 427–445. 113 indexed citations
9.
Deckelnick, Klaus, Gerhard Dziuk, & Charles M. Elliott. (2003). Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces. SIAM Journal on Numerical Analysis. 41(6). 2161–2179. 21 indexed citations
10.
Dziuk, Gerhard, Ernst Kuwert, & Reiner Schätzle. (2002). Evolution of Elastic Curves in $\Rn$: Existence and Computation. SIAM Journal on Mathematical Analysis. 33(5). 1228–1245. 118 indexed citations
11.
Deckelnick, Klaus & Gerhard Dziuk. (2002). A fully discrete numerical scheme for weighted mean curvature flow. Numerische Mathematik. 91(3). 423–452. 29 indexed citations
12.
Deckelnick, Klaus & Gerhard Dziuk. (1999). Discrete anisotropic curvature flow of graphs. ESAIM Mathematical Modelling and Numerical Analysis. 33(6). 1203–1222. 28 indexed citations
13.
Dziuk, Gerhard. (1999). Discrete Anisotropic Curve Shortening Flow. SIAM Journal on Numerical Analysis. 36(6). 1808–1830. 50 indexed citations
14.
Bänsch, Eberhard, et al.. (1996). Numerical Simulation of Infrared-Photoablation. Conference on Lasers and Electro-Optics Europe. 62. CThI75–CThI75. 1 indexed citations
15.
Dziuk, Gerhard & John Hutchinson. (1996). On the approximation of unstable parametric minimal surfaces. Calculus of Variations and Partial Differential Equations. 4(1). 27–58. 12 indexed citations
16.
Dziuk, Gerhard & John Hutchinson. (1996). On the approximation of unstable parametric minimal surfaces. Calculus of Variations and Partial Differential Equations. 4(1). 27–58. 3 indexed citations
17.
Deckelnick, Klaus & Gerhard Dziuk. (1995). Convergence of a finite element method for non-parametric mean curvature flow. Numerische Mathematik. 72(2). 197–222. 28 indexed citations
18.
Dziuk, Gerhard & Bernd Kawohl. (1991). On rotationally symmetric mean curvature flow. Journal of Differential Equations. 93(1). 142–149. 23 indexed citations
19.
Dziuk, Gerhard. (1981). On the boundary behaviour of partially free minimal surfaces. manuscripta mathematica. 35(1-2). 105–123. 7 indexed citations
20.
Dziuk, Gerhard. (1978). Das Verhalten von L�sungen semilinearer elliptischer Systeme an Ecken eines Gebietes. Mathematische Zeitschrift. 159(1). 89–100. 7 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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