Werner Varnhorn

453 total citations
43 papers, 301 citations indexed

About

Werner Varnhorn is a scholar working on Applied Mathematics, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, Werner Varnhorn has authored 43 papers receiving a total of 301 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Applied Mathematics, 19 papers in Computational Mechanics and 17 papers in Computational Theory and Mathematics. Recurrent topics in Werner Varnhorn's work include Navier-Stokes equation solutions (18 papers), Advanced Mathematical Modeling in Engineering (17 papers) and Advanced Numerical Methods in Computational Mathematics (14 papers). Werner Varnhorn is often cited by papers focused on Navier-Stokes equation solutions (18 papers), Advanced Mathematical Modeling in Engineering (17 papers) and Advanced Numerical Methods in Computational Mathematics (14 papers). Werner Varnhorn collaborates with scholars based in Germany, Czechia and Poland. Werner Varnhorn's co-authors include Wolfgang Borchers, Hermann Sohr, Reinhard Farwig, Frank Müller, Paul Deuring, Ishak Hashim, Christian G. Simader, Rozaini Roslan, Šárka Nečasová and Roger Témam and has published in prestigious journals such as Applied Mathematics and Computation, Journal of Differential Equations and Nonlinear Analysis.

In The Last Decade

Werner Varnhorn

39 papers receiving 282 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Werner Varnhorn Germany	9	202	138	133	103	50	43	301
A. Okay Çelebi Türkiye	9	182 0.9×	127 0.9×	138 1.0×	77 0.7×	107 2.1×	37	365
A. M. Gomilko Ukraine	11	148 0.7×	178 1.3×	100 0.8×	33 0.3×	76 1.5×	63	373
Daniel Faraco Spain	12	237 1.2×	166 1.2×	194 1.5×	52 0.5×	21 0.4×	32	397
Nenad Antonić Croatia	11	119 0.6×	118 0.9×	194 1.5×	101 1.0×	17 0.3×	38	313
Maria Rosaria Lancia Italy	11	177 0.9×	166 1.2×	224 1.7×	40 0.4×	20 0.4×	42	302
Paul Deuring France	13	328 1.6×	164 1.2×	206 1.5×	221 2.1×	119 2.4×	62	487
D. Blanchard France	7	164 0.8×	126 0.9×	173 1.3×	37 0.4×	53 1.1×	13	272
V. Valente Italy	11	95 0.5×	70 0.5×	174 1.3×	48 0.5×	163 3.3×	30	312
Franck Sueur France	9	279 1.4×	120 0.9×	91 0.7×	173 1.7×	99 2.0×	35	353
Jae Ryong Kweon South Korea	10	183 0.9×	58 0.4×	95 0.7×	240 2.3×	33 0.7×	46	310

Countries citing papers authored by Werner Varnhorn

Since Specialization

Citations

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

Fields of papers citing papers by Werner Varnhorn

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Werner Varnhorn

This figure shows the co-authorship network connecting the top 25 collaborators of Werner Varnhorn. A scholar is included among the top collaborators of Werner Varnhorn 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 Werner Varnhorn. Werner Varnhorn 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

Ptashnyk, Mariya, et al.. (2014). Integral representation of a solution to the Stokes–Darcy problem. Mathematical Methods in the Applied Sciences. 38(17). 3968–3979.

Farwig, Reinhard, Hermann Sohr, & Werner Varnhorn. (2013). Besov Space Regularity Conditions for Weak Solutions of the Navier–Stokes Equations. Journal of Mathematical Fluid Mechanics. 16(2). 307–320. 4 indexed citations

Varnhorn, Werner, et al.. (2011). The planar Dirichlet problem for the Stokes equations. Mathematical Methods in the Applied Sciences. 34(9). 1097–1109. 1 indexed citations

Nečasová, Šárka, Reimund Rautmann, Roger Témam, & Werner Varnhorn. (2011). Preface. Applicable Analysis. 90(1). 1–3. 2 indexed citations

Farwig, Reinhard, Hermann Sohr, & Werner Varnhorn. (2010). Necessary and sufficient conditions on local strong solvability of the Navier–Stokes system. Applicable Analysis. 90(1). 47–58. 5 indexed citations

Deuring, Paul & Werner Varnhorn. (2010). On Oseen resolvent estimates. Differential and Integral Equations. 23(11/12). 7 indexed citations

Varnhorn, Werner, et al.. (2009). The Navier‐Stokes equations with regularization. PAMM. 9(1). 545–546.

Farwig, Reinhard, Hermann Sohr, & Werner Varnhorn. (2009). On optimal initial value conditions for local strong solutions of the Navier–Stokes equations. ANNALI DELL UNIVERSITA DI FERRARA. 55(1). 89–110. 35 indexed citations

Müller, Frank & Werner Varnhorn. (2006). Error estimates for approximate approximations with Gaussian kernels on compact intervals. Journal of Approximation Theory. 145(2). 171–181. 11 indexed citations

10.

Varnhorn, Werner, et al.. (2006). Approximate Approximations for the Poisson and the Stokes Equations. Kobra (Universitätsbibliothek Kassel). 2 indexed citations

11.

Müller, Frank & Werner Varnhorn. (2006). An approximation method using approximate approximations. Applicable Analysis. 85(6-7). 669–680. 3 indexed citations

12.

Varnhorn, Werner, et al.. (2004). The Poisson equation in homogeneous Sobolev spaces. International Journal of Mathematics and Mathematical Sciences. 2004(36). 1909–1921. 1 indexed citations

13.

Varnhorn, Werner. (2004). The boundary value problems of the Stokes resolvent equations in n dimensions. Mathematische Nachrichten. 269-270(1). 210–230. 12 indexed citations

14.

Varnhorn, Werner. (1994). The Stokes Equations. Medical Entomology and Zoology. 56 indexed citations

15.

Varnhorn, Werner. (1992). The poisson equation with weights in exterior domains of Rⁿ. Applicable Analysis. 43(1-2). 135–145. 8 indexed citations

16.

Deuring, Paul & Werner Varnhorn. (1992). On strong solutions of Poisson's equation in Beppo Levi spaces. Zeitschrift für angewandte Mathematik und Physik. 43(6). 1023–1037. 1 indexed citations

17.

Varnhorn, Werner. (1991). Time stepping procedures for the nonstationary Stokes equations. OpenGrey (Institut de l'Information Scientifique et Technique). 92. 12217. 1 indexed citations

18.

Varnhorn, Werner. (1991). ZUR KONSTRUKTION EINER NUMERISCHEN LÖSUNG DES ANFANGSRANDWERTPROBLEMS FÜR DIE NICHTLINEAREN GLEICHUNGEN VON NAVIER - STOKES. Analysis. 11(2-3). 1 indexed citations

19.

Varnhorn, Werner. (1989). Efficient quadrature for a boundary element method to compute three‐dimensional Stokes flow. International Journal for Numerical Methods in Fluids. 9(2). 185–191. 4 indexed citations

20.

Varnhorn, Werner. (1988). Energy conserving Lagrangian approximation for the equations of Navier-Stokes. Journal of Differential Equations. 76(2). 256–268. 4 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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