Peter Knabner

3.9k total citations
140 papers, 2.6k citations indexed

About

Peter Knabner is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Environmental Engineering. According to data from OpenAlex, Peter Knabner has authored 140 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 59 papers in Computational Mechanics, 58 papers in Computational Theory and Mathematics and 45 papers in Environmental Engineering. Recurrent topics in Peter Knabner's work include Advanced Mathematical Modeling in Engineering (58 papers), Advanced Numerical Methods in Computational Mathematics (50 papers) and Groundwater flow and contamination studies (43 papers). Peter Knabner is often cited by papers focused on Advanced Mathematical Modeling in Engineering (58 papers), Advanced Numerical Methods in Computational Mathematics (50 papers) and Groundwater flow and contamination studies (43 papers). Peter Knabner collaborates with scholars based in Germany, United States and Netherlands. Peter Knabner's co-authors include Florin A. Radu, Lutz Angermann, C.J. van Duijn, I. Pop, Nadja Ray, Markus Bause, Raphael Schulz, John W. Barrett, Andreas Rupp and Kai Uwe Totsche and has published in prestigious journals such as Water Resources Research, Journal of Computational Physics and Journal of Pharmaceutical Sciences.

In The Last Decade

Peter Knabner

135 papers receiving 2.4k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter Knabner Germany 31 1.2k 986 850 457 441 140 2.6k
C.J. van Duijn Netherlands 24 753 0.6× 697 0.7× 567 0.7× 293 0.6× 259 0.6× 106 1.8k
Florin A. Radu Norway 26 1.0k 0.9× 663 0.7× 427 0.5× 479 1.0× 370 0.8× 90 1.8k
Jérôme Jaffré France 19 901 0.8× 357 0.4× 396 0.5× 336 0.7× 143 0.3× 51 1.8k
Ulrich Hornung Germany 13 928 0.8× 1.1k 1.2× 317 0.4× 929 2.0× 197 0.4× 32 1.8k
Francisco J. Valdés‐Parada Mexico 28 961 0.8× 329 0.3× 339 0.4× 302 0.7× 122 0.3× 109 1.8k
Bernd Flemisch Germany 22 701 0.6× 360 0.4× 749 0.9× 466 1.0× 251 0.6× 75 1.8k
Luca Mazzei United Kingdom 30 3.1k 2.6× 1.3k 1.3× 261 0.3× 1.1k 2.5× 84 0.2× 97 4.6k
Hang Ding China 38 3.4k 2.9× 193 0.2× 122 0.1× 893 2.0× 210 0.5× 132 5.1k
J. Alberto Ochoa‐Tapia Mexico 25 2.0k 1.7× 333 0.3× 230 0.3× 261 0.6× 123 0.3× 85 3.0k
L. Elliott United Kingdom 28 824 0.7× 296 0.3× 98 0.1× 1.1k 2.5× 183 0.4× 143 2.6k

Countries citing papers authored by Peter Knabner

Since Specialization
Citations

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

Fields of papers citing papers by Peter Knabner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Knabner

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Knabner. A scholar is included among the top collaborators of Peter Knabner 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 Peter Knabner. Peter Knabner 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.
Knabner, Peter, et al.. (2023). Local existence of strong solutions to micro–macro models for reactive transport in evolving porous media. European Journal of Applied Mathematics. 35(1). 127–154.
2.
Frolkovič, Peter, et al.. (2022). Efficiency of Micro-Macro Models for Reactive Two-Mineral Systems. Multiscale Modeling and Simulation. 20(1). 433–461. 5 indexed citations
3.
Knabner, Peter, et al.. (2017). Mathematik für Ingenieure und Naturwissenschaftler. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 1 indexed citations
4.
Suciu, Nicolae, Lennart Schüler, Sabine Attinger, Călin Vamoş, & Peter Knabner. (2015). Consistency issues in PDF methods. Analele Universităţii "Ovidius" Constanţa. Seria Matematică. 23(3). 187–208. 2 indexed citations
5.
Knabner, Peter & Jean E. Roberts. (2014). Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy–Forchheimer flow in the fracture. Springer Link (Chiba Institute of Technology). 17 indexed citations
6.
Carrayrou, Jérôme, Michel Kern, & Peter Knabner. (2009). Reactive transport benchmark of MoMaS. Computational Geosciences. 14(3). 385–392. 40 indexed citations
7.
Radu, Florin A., I. Pop, & Peter Knabner. (2007). Error estimates for a mixed finite element discretization of some degenerate parabolic equations. Max Planck Institute for Plasma Physics. 1 indexed citations
8.
Pop, I., Florin A. Radu, & Peter Knabner. (2004). Mixed finite elements for the Richards’ equation: linearization procedure. Journal of Computational and Applied Mathematics. 168(1-2). 365–373. 114 indexed citations
9.
Pop, I., et al.. (2002). Error estimates for an Euler implicit, mixed finite element discretization of Richards' equation : equivalence between mixed and conformal approaches. Munich Personal RePEc Archive (Ludwig Maximilian University of Munich). 206. 385–7. 3 indexed citations
10.
Bause, Markus & Peter Knabner. (2002). Uniform Error Analysis for Lagrange--Galerkin Approximations of Convection-Dominated Problems. SIAM Journal on Numerical Analysis. 39(6). 1954–1984. 28 indexed citations
11.
Knabner, Peter & Lutz Angermann. (2000). Numerik partieller differentialgleichungen : eine anwendungsorientierte Einführung. Springer eBooks. 5 indexed citations
12.
Knabner, Peter, et al.. (1998). ADAPTIVE FINITE VOLUME DISCRETIZATION OF DENSITY DRIVEN FLOWS IN POROUS MEDIA. 67(1). 115–136. 18 indexed citations
13.
Knabner, Peter, et al.. (1997). Travelling wave behaviour of crystal dissolution in porous media flow. European Journal of Applied Mathematics. 8(1). 49–72. 21 indexed citations
14.
Knabner, Peter, et al.. (1996). An analysis of crystal dissolution fronts in flows through porous media. 1–29. 15 indexed citations
15.
Knabner, Peter, et al.. (1996). Crystal dissolution in porous media flow. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 76. 329–332. 7 indexed citations
16.
17.
Duijn, C.J. van, Peter Knabner, & S.E.A.T.M. van der Zee. (1993). Travelling waves during the transport of reactive solute in porous media: Combination of Langmuir and Freundlich isotherms. Advances in Water Resources. 16(2). 97–105. 14 indexed citations
18.
Knabner, Peter & Lothar von Wolfersdorf. (1991). Travelling Wave Solutions of a System of Nonlinear Diffusion Equations with Integral Term. Zeitschrift für Analysis und ihre Anwendungen. 10(4). 503–512. 1 indexed citations
19.
Knabner, Peter, et al.. (1991). Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorption : travelling waves. Journal für die reine und angewandte Mathematik (Crelles Journal). 415. 1–49. 48 indexed citations
20.
Knabner, Peter & Sergio Vessella. (1988). The optimal stability estimate for some ill‐posed Cauchy problems for a parabolic equation. Mathematical Methods in the Applied Sciences. 10(5). 575–583. 25 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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