Dorothee Knees

772 total citations
32 papers, 467 citations indexed

About

Dorothee Knees is a scholar working on Computational Theory and Mathematics, Mechanics of Materials and Biomedical Engineering. According to data from OpenAlex, Dorothee Knees has authored 32 papers receiving a total of 467 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Computational Theory and Mathematics, 14 papers in Mechanics of Materials and 12 papers in Biomedical Engineering. Recurrent topics in Dorothee Knees's work include Advanced Mathematical Modeling in Engineering (17 papers), Contact Mechanics and Variational Inequalities (16 papers) and Elasticity and Material Modeling (12 papers). Dorothee Knees is often cited by papers focused on Advanced Mathematical Modeling in Engineering (17 papers), Contact Mechanics and Variational Inequalities (16 papers) and Elasticity and Material Modeling (12 papers). Dorothee Knees collaborates with scholars based in Germany, Italy and Poland. Dorothee Knees's co-authors include Chiara Zanini, Alexander Mielke, Riccarda Rossi, Jörg Schröder, Patrizio Neff, Matteo Negri, Robert Haller‐Dintelmann, Joachim Rehberg, Alf Jonsson and Ulisse Stefanelli and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Journal of Mathematical Analysis and Applications and Physica D Nonlinear Phenomena.

In The Last Decade

Dorothee Knees

30 papers receiving 410 citations

Peers

Dorothee Knees

CTM

Françoise Krasucki France

Giuliano Lazzaroni Italy

Véronique Lods France

Jean‐François Babadjian France

Alessandro Giacomini Italy

Giovambattista Amendola Italy

Giovanna Bonfanti Italy

Matteo Focardi Italy

Giorgio Vergara Caffarelli Italy

Georges Griso France

Françoise Krasucki France

Dorothee Knees

296 ×1.0

CTM

417 ×1.5

92 ×0.7

122 ×1.2

40 ×0.4

Citations per year, relative to Dorothee Knees Dorothee Knees (= 1×) peers Françoise Krasucki

Countries citing papers authored by Dorothee Knees

Since Specialization

Citations

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

Fields of papers citing papers by Dorothee Knees

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Dorothee Knees

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

Knees, Dorothee, et al.. (2025). Global regularity in a nonlinear relaxed micromorphic continuum on Lipschitz domains. Calculus of Variations and Partial Differential Equations. 64(2). 1 indexed citations

Knees, Dorothee, et al.. (2024). A global higher regularity result for the static relaxed micromorphic model on smooth domains. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 156(2). 436–450. 2 indexed citations

Knees, Dorothee & Stephanie Thomas. (2023). Optimal Control of a Rate-Independent System Constrained to Parametrized Balanced Viscosity Solutions. SIAM Journal on Control and Optimization. 61(2). 723–754.

Knees, Dorothee, et al.. (2022). Fully discrete approximation schemes for rate-independent crack evolution. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 380(2236). 20210361–20210361. 5 indexed citations

Knees, Dorothee, Riccarda Rossi, & Chiara Zanini. (2018). Balanced viscosity solutions to a rate-independent system for damage. European Journal of Applied Mathematics. 30(1). 117–175. 8 indexed citations

Knees, Dorothee, et al.. (2017). A phase-field damage model based on evolving microstructure. Asymptotic Analysis. 101(3). 149–180. 6 indexed citations

Knees, Dorothee, Riccarda Rossi, & Chiara Zanini. (2015). A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains. Nonlinear Analysis Real World Applications. 24. 126–162. 23 indexed citations

Haller‐Dintelmann, Robert, Alf Jonsson, Dorothee Knees, & Joachim Rehberg. (2015). Elliptic and parabolic regularity for second‐ order divergence operators with mixed boundary conditions. Mathematical Methods in the Applied Sciences. 39(17). 5007–5026. 19 indexed citations

Knees, Dorothee, et al.. (2015). Homogenization of elliptic systems with non-periodic, state-dependent coefficients. Asymptotic Analysis. 92(3-4). 203–234. 2 indexed citations

10.

Knees, Dorothee & Jörg Schröder. (2012). Global spatial regularity for elasticity models with cracks, contact and other nonsmooth constraints. Mathematical Methods in the Applied Sciences. 35(15). 1859–1884. 30 indexed citations

11.

Haller‐Dintelmann, Robert, Alf Jonsson, Dorothee Knees, & Joachim Rehberg. (2012). On elliptic and parabolic regularity for mixed boundary value problems. Open MIND. 3 indexed citations

12.

Knees, Dorothee, et al.. (2012). Global higher integrability of minimizers of variational problems with mixed boundary conditions. Journal of Mathematical Analysis and Applications. 401(1). 269–288. 3 indexed citations

13.

Knees, Dorothee, et al.. (2011). Young-Measure Quasi-Static Damage Evolution. Archive for Rational Mechanics and Analysis. 203(2). 415–453. 11 indexed citations

14.

Gruber, Péter, et al.. (2010). Analytical and numerical aspects of time‐dependent models with internal variables. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 90(10-11). 861–902. 4 indexed citations

15.

Knees, Dorothee. (2010). ON GLOBAL SPATIAL REGULARITY AND CONVERGENCE RATES FOR TIME-DEPENDENT ELASTO-PLASTICITY. Mathematical Models and Methods in Applied Sciences. 20(10). 1823–1858. 11 indexed citations

16.

Knees, Dorothee. (2008). Short note on global spatial regularity in elasto-plasticity with linear hardening. Open MIND. 3 indexed citations

17.

Neff, Patrizio & Dorothee Knees. (2008). Regularity up to the Boundary for Nonlinear Elliptic Systems Arising in Time-Incremental Infinitesimal Elasto-plasticity. SIAM Journal on Mathematical Analysis. 40(1). 21–43. 25 indexed citations

18.

Knees, Dorothee. (2007). Global stress regularity of convex and some nonconvex variational problems. Annali di Matematica Pura ed Applicata (1923 -). 187(1). 157–184. 11 indexed citations

19.

Knees, Dorothee. (2006). Global regularity of the elastic fields of a power-law model on Lipschitz domains. Mathematical Methods in the Applied Sciences. 29(12). 1363–1391. 14 indexed citations

20.

Knees, Dorothee. (2004). On the Regularity of Weak Solutions of Quasi-Linear Elliptic Transmission Problems on Polyhedral Domains. Zeitschrift für Analysis und ihre Anwendungen. 23(3). 509–546. 18 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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