R. Verfürth

6.1k total citations · 2 hit papers
42 papers, 4.3k citations indexed

About

R. Verfürth is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, R. Verfürth has authored 42 papers receiving a total of 4.3k indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Computational Mechanics, 17 papers in Computational Theory and Mathematics and 15 papers in Numerical Analysis. Recurrent topics in R. Verfürth's work include Advanced Numerical Methods in Computational Mathematics (40 papers), Advanced Mathematical Modeling in Engineering (15 papers) and Computational Fluid Dynamics and Aerodynamics (12 papers). R. Verfürth is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (40 papers), Advanced Mathematical Modeling in Engineering (15 papers) and Computational Fluid Dynamics and Aerodynamics (12 papers). R. Verfürth collaborates with scholars based in Germany, Italy and France. R. Verfürth's co-authors include Dietrich Braess, Lutz Tobiska, Carsten Carstensen, Andreas Veeser, G. Kunert, Frédéric Hecht, Christine Bernardi, Roger Témam, Edward Dean and R. W. Thatcher and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Mathematics of Computation and SIAM Journal on Numerical Analysis.

In The Last Decade

R. Verfürth

42 papers receiving 3.9k citations

Hit Papers

A Review of a Posteriori Error Estimation and Adaptive Me... 1996 2026 2006 2016 1996 2013 400 800 1.2k
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. A Review of a Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques
    1996 1.5k citations R. Verfürth Medical Entomology and Zoology profile →
  2. A Posteriori Error Estimation Techniques for Finite Element Methods
    2013 323 citations R. Verfürth profile →

Peers

R. Verfürth
Ricardo H. Nochetto United States
Zhiqiang Cai United States
Christine Bernardi France
Ragnar Winther Norway
Richard S. Falk United States
Dominik Schötzau Canada
Raytcho Lazarov United States
A. H. Schatz United States
John E. Osborn United States
Jay Gopalakrishnan United States
Ricardo H. Nochetto United States
R. Verfürth
Citations per year, relative to R. Verfürth R. Verfürth (= 1×) peers Ricardo H. Nochetto

Countries citing papers authored by R. Verfürth

Since Specialization
Citations

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

Fields of papers citing papers by R. Verfürth

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of R. Verfürth

This figure shows the co-authorship network connecting the top 25 collaborators of R. Verfürth. A scholar is included among the top collaborators of R. Verfürth 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 R. Verfürth. R. Verfürth 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.
Veeser, Andreas, et al.. (2015). Robust Localization of the Best Error with Finite Elements in the Reaction-Diffusion Norm. Constructive Approximation. 42(2). 313–347. 4 indexed citations
2.
Tobiska, Lutz & R. Verfürth. (2015). Robusta posteriorierror estimates for stabilized finite element methods. IMA Journal of Numerical Analysis. 35(4). 1652–1671. 21 indexed citations
3.
4.
Verfürth, R.. (2009). A Note on Constant-Free A Posteriori Error Estimates. SIAM Journal on Numerical Analysis. 47(4). 3180–3194. 24 indexed citations
5.
Bernardi, Christine, Frédéric Hecht, & R. Verfürth. (2009). A finite element discretization of the three-dimensional Navier–Stokes equations with mixed boundary conditions. Springer Link (Chiba Institute of Technology). 43(6). 1185–1201. 21 indexed citations
6.
Verfürth, R.. (2005). Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations. SIAM Journal on Numerical Analysis. 43(4). 1766–1782. 104 indexed citations
7.
8.
Verfürth, R.. (1998). A posteriori error estimators for convection-diffusion equations. Numerische Mathematik. 80(4). 641–663. 148 indexed citations
9.
Verfürth, R.. (1998). Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation. Numerische Mathematik. 78(3). 479–493. 88 indexed citations
10.
Verfürth, R.. (1996). A Review of a Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques. Medical Entomology and Zoology. 1472 indexed citations breakdown →
11.
Braess, Dietrich & R. Verfürth. (1996). A Posteriori Error Estimators for the Raviart–Thomas Element. SIAM Journal on Numerical Analysis. 33(6). 2431–2444. 127 indexed citations
12.
Verfürth, R.. (1994). A posteriori error estimation and adaptive mesh-refinement techniques. Journal of Computational and Applied Mathematics. 50(1-3). 67–83. 329 indexed citations
13.
Verfürth, R.. (1994). A posteriori error estimates for nonlinear problems. Finite element discretizations of elliptic equations. Mathematics of Computation. 62(206). 445–475. 34 indexed citations
14.
Verfürth, R.. (1986). Finite element approximation on incompressible Navier-Stokes equations with slip boundary condition. Numerische Mathematik. 50(6). 697–721. 116 indexed citations
15.
Verfürth, R.. (1985). Finite element approximation of steady Navier-Stokes equations with mixed boundary conditions. ESAIM Mathematical Modelling and Numerical Analysis. 19(3). 461–475. 20 indexed citations
16.
Verfürth, R.. (1984). The contraction number of a multigrid method with mesh ratio 2 for solving Poisson's equation. Linear Algebra and its Applications. 60. 113–128. 14 indexed citations
17.
Verfürth, R.. (1984). A combined conjugate gradient - multi-grid algorithm for the numerical solution of the Stokes problem. IMA Journal of Numerical Analysis. 4(4). 441–455. 89 indexed citations
18.
Verfürth, R.. (1984). Error estimates for a mixed finite element approximation of the Stokes equations. Springer Link (Chiba Institute of Technology). 18(2). 175–182. 155 indexed citations
19.
Verfürth, R.. (1984). A Multilevel Algorithm for Mixed Problems. SIAM Journal on Numerical Analysis. 21(2). 264–271. 68 indexed citations
20.
Verfürth, R.. (1982). On the number of local best approximations by exponential sums. Journal of Approximation Theory. 34(3). 306–323. 1 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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